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Ordering Business Rules\\nPayment Flow: Non-transactional. No 3rd-party payment integration. Submission constitutes a 'Successful Reservation.' Total price is used for internal accounting and statistics only.\\nTime-Window Constraints:\\nDynamic Config: Admins set a 'Start Time' and 'Deadline' for each daily menu.\\nHard Validation: If the current server time is outside the window, the 'Submit' button must be disabled (frontend) and the POST /order API must be rejected with a 'Booking Period Closed' error (backend).\\nQuantity Limits:\\nOne Order Per Day: A unique user is permitted only one valid order record per date.\\nMulti-item Support: A single order can contain multiple items and quantities.\\n4. Order State Machine\\nOrders must follow a linear, non-reversible lifecycle:\\n\\nSubmitted: Initial state after user checkout. Users cannot cancel once submitted.\\nConfirmed: Marked by Admin (indicating data has been sent to the kitchen).\\nCompleted: Marked by Admin upon delivery or pickup.\\nCancelled: Admin-only operation (e.g., in case of ingredient shortages).\\n5. Admin Back-office Operations\\nKitchen Report (Aggregation): A 'Daily Summary View' that automatically aggregates quantities for all dishes (e.g., 'Kung Pao Chicken: 50, Steamed Rice: 60').\\nFiltering &amp; Export:\\nFilter by Date, Department, and Order Status.\\nExport daily order details to CSV or PDF formats.\\nConfiguration Center: Ability to modify order deadlines with immediate effect.\\n6. UI/UX Standards\\nResponsive Design: Mobile-first approach for employees to order on their smartphones.\\nDouble-Confirmation: A Modal must appear before final submission, showing itemized details and the total amount.\\nColor Coding: Status labels should be distinct (e.g., Submitted-Blue, Confirmed-Orange, Completed-Green, Cancelled-Red).\\nTechnical Design Suggestion (Conceptual)\\nDatabase Schema (Key Tables)\\nUsers: id, username, phone (UQ), department, password_hash, role\\nDishes: id, name, base_price, unit, category, is_enabled\\nDailyMenus: id, menu_date, start_time, end_time, status\\nDailyMenu_Dishes: menu_id, dish_id (Link pool to daily instance)\\nOrders: id, user_id, menu_date, total_price, status, created_at\\nOrderItems: id, order_id, dish_name (snapshot), price (snapshot), quantity\\nAPI Endpoints (Samples)\\nPOST /api/auth/register - Standard user signup.\\nGET /api/menu/today - Fetch today's dishes and check time-window.\\nPOST /api/orders - Submit order (Includes backend validation for currentTime &lt; deadline and existingOrderCheck).\\nGET /api/admin/reports/summary?date=YYYY-MM-DD - Kitchen aggregation logic.\\nRecommended Stack\\nFrontend: Vue.js 3 or React (with Tailwind CSS for responsive UI).\\nBackend: Node.js (Express) or Python (FastAPI) for high-speed validation.\\nDatabase: PostgreSQL (Relational integrity is vital for the snapshot logic).\\nReporting: exceljs for CSV and jspdf for PDF generation.\"\n}","chat_dev_goal":"Goal","gold_price_desc":"Track gold prices in real time.","publish_image_preprocess_failed":"Image pre-processing failed, will try to crop directly","deploy_logs_empty":"The app has not started or the log file does not exist","user_case_list":"User Case List","ai_gen_tip":"I only parse the interface structure, not get your personal key. 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Through data analysis and three calculation engines (benchmark cost calculation, heuristic algorithm and mathematical planning algorithm), it provides enterprises with the best cost and highest service level inventory transfer scheme. The system uses a shared data architecture. All users view the same data and modify permissions through role permission control. \\n\\n ---\\n\\n##2. user management \\n\\n ### user system \\n\\n-supports mailbox/mobile phone number registration \\n-is divided into two roles: administrator (admin) and ordinary user (user)\\n-no audit is required after user registration \\n\\n ### permission control \\n\\n administrator:\\n-all functional permissions (view, modify data, configure rules, manage users, manage parameter scenarios, etc.)\\n \\nOrdinary users:\\n-Read-only permissions (view data, perform solving, use saved parameter scenarios)\\n\\n ---\\n##3. Data Management \\n\\n ### Data Management Center Interface \\n \\nFunction description: provides a unified data management portal, all core Data tables have a dedicated viewing and management area on the front page \\n \\nPage layout design:\\n \\nNavigation tabs:\\n- SKU Master Data \\n-Warehouse Master Data \\n-Current Inventory \\n-Demand Forecast \\n-transportation Cost \\n-Holding Cost \\n-Shortage Cost \\n-Warehouse Capacity \\n \\nFunctions of each tab page:\\n-Table display area: all records of the corresponding data table are displayed, and the table is not paged \\n-Action button area: upload data (only visible to the administrator), download template, export data, refresh Data \\n-Data Status Identification: Data Update Time Display, Data Integrity Identification (✅Complete/⚠️ Partially missing/❌Severely missing), record count statistics \\n\\n ### data upload (administrator only)\\n\\n-support Excel(.xlsx) file upload, file size limit 10mb \\n-provide standard Excel template download, each data table corresponds to a worksheet (Sheet)\\n-upload data immediately overwrites existing data, visible to all users \\n-support batch upload (an Excel file contains multiple data tables) or single table Upload \\n \\nData Upload error handling:\\n-File format error: File format/size overrun prompt \\n-Table structure error: Missing required column or column name prompt \\n-Data type error: Field type mismatch prompt \\n-Data validation error: Data value does not conform to rule prompt \\n-Data duplication error: duplicate record prompt \\n-Data integrity error: missing key data prompt \\n \\nError handling mechanism:\\n-Stop uploading immediately when an error is found, and do not update part of the data \\n-Error information is displayed in a pop-up window, including detailed error locations and correction suggestions \\n-Support downloading error reports, including a detailed list of all errors \\n-Provide the 'Fix and Retry' option, keep files uploaded by users \\n\\n ### Core data table display \\n\\nSKU main data table display:\\n-table column: SKU code, SKU name, SKU description, creation time, update time \\n-special identification: new SKU is marked with blue, and the latest update is marked with yellow background \\n \\nwarehouse main data table display:\\n-table column: warehouse number, warehouse name, warehouse type, warehouse address, warehouse location (limited to cities in mainland China), longitude, latitude, and status \\n-Special identification: the central warehouse is marked with a special icon \\n \\nTransportation cost table display:\\n-Table columns: source warehouse, Target warehouse, unit transportation cost, and update time \\n-Special identification: each transportation route is marked with different color \\n-Matrix view options: it can be switched to the cost matrix display of warehouse × warehouse \\n \\nShortage cost table display:\\n-table column: SKU code, warehouse number, unit shortage cost, update time \\n-default value prompt: Missing data display 'default 1 yuan/pone' gray text \\n \\nPosition cost table display:\\n-table column: SKU code, warehouse number, unit position cost, update Time \\n-Default value prompt: \"Default 0.1 Yuan/Piece\" gray text is displayed for missing data \\n \\nCurrent inventory table display:\\n-Table column: SKU code, warehouse number, current inventory quantity, last inventory Time \\n-Special mark: zero inventory is marked in red, high inventory is marked in green \\n \\nDemand forecast table display:\\n-Table column: SKU code, warehouse number, expected demand, forecast accuracy \\n \\nWarehouse capacity table display:\\n-Table column: warehouse number, maximum capacity, current usage, usage rate \\n-Special identification: usage rate> 80% with yellow warning,>95% with red warning \\n\\n ### Data viewing and downloading (all users)\\n \\nView function:\\n- All data tables support sorting, filtering, and searching. \\n-Inventory details display: displayed by warehouse dimension and SKU dimension. \\n-Inventory status indicator: sufficient (green), alert (yellow), and out of stock (red). \\n \\nDownload function:\\n-supports exporting all data in Excel format \\n-can choose to export a single data table or all data tables \\n-export file contains data dictionary description \\n\\n#### preset data requirements \\n\\n-preset complete data set of 3 warehouses and 6 SKU \\n-warehouse locations: Beijing (116.4074,39.9042), Shanghai (121.4737,31.2304), Guangzhou (113.2644,23.1291)\\n-Contains three business scenarios: out-of-stock, backlog, and normal. \\n\\n ### Data verification and preprocessing. \\n\\n-Format verification: check the validity of SKU code, warehouse number, and numeric fields. \\n-Consistency check: cross-table data consistency, duplicate records, and outlier detection. \\n-Intelligent completion: Default value of missing cost, missing coordinates auto-fill \\n\\n ### data structure definition \\n\\n- SKU master data table: SKU code, SKU name, SKU description \\n-warehouse master data table: warehouse number, warehouse name, warehouse type, warehouse address, warehouse location, longitude, latitude \\n-current inventory table: SKU code, warehouse number, current inventory \\n-demand forecast table: SKU code, warehouse number, expected demand \\n-transportation cost table: source warehouse, target warehouse, unit transportation cost \\n-holding cost table: SKU code, warehouse number, unit position cost \\n-shortage cost table: SKU code, warehouse number, unit shortage cost \\n-warehouse capacity table: warehouse number, maximum capacity \\n\\n ---\\n##4, inventory Health Monitoring \\n\\n ### Warehouse Health Score \\n \\nHealth Score = Risk SKU Percentage Score (40%) + Average Adequacy Score (50%) + Capacity Utilization Score (10%)\\n \\nSpecial Cases:\\n-When the total warehouse inventory is 0, the health score is fixed at 0 (🔴Danger)\\n-When there is no demand in the warehouse, the health level is fixed at 100 points (🟢Normal/Idle)\\n \\nDetailed calculation method:\\n\\n1. Risk SKU percentage score (40%)\\n-Statistics of total number of SKUs and risk SKUs (adequacy ratio <1.0)\\n-Score = (1-Risk SKU percentage) × 100 × 40%\\n\\n2. Average adequacy ratio score (50%)\\n-Adequacy = Current Inventory/Expected Demand \\n-Score = min (Average Adequacy, 1.0)× 100 × 50%\\n\\n3. Capacity Utilization Score (10%)\\n-Utilization ≤ 80%: Score = 10 points \\n-Utilization 80%-95%: Score =(95-Utilization)/15 × 10 points \\n-Utilization> 95%: score = 0 \\n \\nHealth Level:\\n-🟢Normal:>80 points \\n-🟡Warning: 60-80 points \\n-🔴Hazard:<60 points \\n\\n ### Front-end display \\n\\n-Display the 'Calculation Rule Describe' expandable panel at the top of the page \\n-Display the score details next to the health score (mouse over or click to expand)\\n-Total inventory is displayed at 0'⚠Empty Position', No Demand Display'💤Idle '\\n-risk SKU list display: SKU code/name, current inventory, expected demand, adequacy ratio \\n-adequacy ratio color:<0.5 red, 0.5-1 yellow,>= 1 green \\n\\n ---\\n###5. Parameter scenario management \\n\\n\\n ### scenario management center \\n \\nfunctions: unified management and solution parameter configuration \\n \\nPage layout:\\n-Scenario list area: displays the scene name, description, creation time, creator, and last modification time \\n-Operation buttons: view details, edit (administrator only), delete (administrator only), copy, and set as default \\n-Scenario details area: displays the complete parameter configuration, grouped display (basic parameters, cost coefficient, business Rules)\\n\\n ### Scenario Parameter Definition \\n \\nBasic Parameters:\\n-Target Service Level (50%-100)\\n-Minimum Transfer Quantity (Pieces)\\n-Maximum Solution Time (Seconds)\\n \\nCost Factor:\\n-Transportation Cost Factor (0.5-2x)\\n-Shortage Cost Factor (0.5-3x)\\n-Position Cost Coefficient (0.5-2x)\\n \\nBusiness Rule:\\n-Enable the Transportation Forbidden Rule \\n-Enable the Maximum Transportation Limit \\n\\n ### Create and Edit Scenario \\n\\n-Enter the scenario name, description, and various parameters through the form \\n-Provide reasonable range prompt and verification when entering parameters \\n-The administrator can modify the scenario name, description and Parameter Values \\n\\n ### Scenario Application \\n\\n-Add the 'Select Parameter Scenaries' drop-down box in the solution interface \\n-Load the system default scenario or the most recently used scenario by default \\n-Automatically fill in all parameter configurations after the scenario is selected \\n-Support temporary modification of parameters without affecting the saved scenario \\n-Record the scenario used for each solution, show the scene name in history \\n\\n ---\\n\\n##6. Transfer decision engine \\n\\n ### Algorithm selection \\n \\nThree algorithms:\\n1. Benchmark cost calculation: only the cost of the current state is calculated, no transfer optimization \\n2. Heuristic engine: fast calculation (<2 seconds), suitable for daily decision \\n3. Mathematical planning engine: Global optimal, suitable for important decisions (up to 10 seconds)\\n\\n ### Parameter configuration method \\n\\n-Scene load mode: Select preset scenes from parameter scene management \\n-Custom mode: Adjust parameters manually \\n-Blend mode: make local adjustments after loading the scenario \\n\\n ### Transfer Proposal Generation \\n\\n-Click 'Generate Transfer Proposal' to execute the calculation \\n-Invoke the algorithm engine synchronously and wait for the calculation to complete and return the result directly \\n-Automatically load the selected parameters before executing the scenario configuration \\n-Results include: Total Transfer Quantity, Total Cost, Detailed Transfer Proposal Table \\n-Recommendations are sorted by cost-effectiveness, the table is not paginated \\n\\n ### Transfer plan details \\n\\n-Transfer reasons: demand satisfaction analysis, supply capacity analysis, cost-benefit analysis \\n-Risk improvement indicators: reduced out-of-stock probability, improved inventory adequacy ratio, improved service level \\n-Scheme feasibility verification: inventory constraints, capacity constraints, business rule verification# #7, mathematical Model Display and Export \\n\\n ### Model Visualization Display \\n-Model Overview: Model Type (MILP), Number of Decision Variables, Number of Constraints, Solver Configuration \\n-Objective Function Display: Use mathematical formula format to display the calculation formulas of transportation cost, shortage cost, and position cost respectively \\n-Constraint Condition Display: Classification display (flow balance, service level, capacity, business rules, etc.), rendering using mathematical symbols \\n\\n ### Model formula rendering \\n-Use MathJax or KaTeX mathematical formula rendering libraries \\n-Support standard mathematical symbols and Greek letters \\n-Provide formula descriptions and variable definitions \\n\\n ### Model file saving and exporting (mathematical planning algorithms only)\\n \\nModel file saving mechanism:\\n1. Model build: use OR-Tools to build a MILP model. Save the model (before solving): Automatically saves the LP and MPS formats. The file name is model_[history_id].[lp | mps]\\n3. Solve the model: perform the solution immediately after saving it. \\n \\nDownload the model file:\\n-Download entry: Solve history details page (only the \"Export model\" button is displayed for mathematical planning algorithms). \\n-Download options: LP format, MPS format \\n-File name: inventory_model_[history_id].[lp | mps]\\n\\n ### Solution report export (all algorithms)\\n\\nPDF Report content:\\n1. Report cover: title, solution number, generation time, algorithm type, execution user \\n2. Parameter configuration: scene name, complete parameter configuration, business rule configuration \\n3. Input data snapshot: warehouse information, SKU information, current inventory, demand forecast \\n4. Solution result: cost Summary, Service Level Indicator, Transfer Proposal Details, Shortage Quantity, and Service Level \\n5. Model Information (Mathematical Programming Only): Model Type, Variable Quantity, Constraint Quantity, Solver Status, Objective Function, Constraint Condition \\n6. Visualization Chart: Cost Composition Pie Chart, Transfer Path Map, Service Level Comparison Chart \\n7. Conclusions and Suggestions: Optimization Effect Summary, key findings and suggestions \\n\\nPDF export: all algorithm records display the 'export PDF report' button, file name: solution report_[algorithm type]_[date and time ].pdf\\n\\n ---\\n##8, business rule management (only the administrator can edit)\\n\\n ### rule configuration interface \\n-permission: the administrator can add, edit and delete rules, ordinary users can only view the rule editor: supports JSON format input, syntax highlighting, automatic completion, real-time syntax check, and rule preview. Supported rule types. 1. Transport prohibition rules (TRANSPORT_BAN): n {\"type\": \"TRANSPORT_BAN\", \"source\": \"warehouse A\", \"target\\\": \"Warehouse B\"}\\nFunction: The transfer of the specified source warehouse to the target warehouse is prohibited \\n\\n2. Maximum traffic limit (MAX_TRANSPORT_QUANTITY):\\n {\"type\": \"MAX_TRANSPORT_QUANTITY\", \"sku\": \"sku1\", \"max_quantity n\":100}: limit the maximum single transfer amount of a specific SKU \\n\\n ### rule management function \\n-rule list display (no paging)\\n-add/edit/delete rules \\n-batch import/export rules \\n-rule enable/disable switching \\n\\n ### rule verification and execution \\n-format verification: JSON format, required fields, validity of field values \\n-Logical verification: duplicate rules, conflict rules, and business rationality \\n-Execution mechanism: the mathematical planning engine sets hard constraints, and the heuristic engine applies rules when generating the scheme \\n-Rule tracking: records whether the transfer proposal is affected by the rule, and provides a rule impact analysis report \\n\\n ---\\n #9, solution history management \\n\\n ### History record saving \\n \\nAutomatic saving contents:\\n-Basic information: solution number/name, solution time, execution user, algorithm type, parameter scene ID and name used, complete parameter configuration snapshot \\n-Input data snapshot: complete input data set (including warehouse location information)\\n-Solution result: allocation suggestion list, cost details (total cost, transportation cost, out-of-stock cost, and position cost)\\n-Detailed indicators: the out-of-stock quantity of each SKU in each warehouse, the service level of each SKU in each warehouse, and the overall service level \\n-Model information (mathematical programming algorithm): the number of decision variables, the number of constraints, the solver status, and the model file path (LP and MPS formats)\\n \\nSolve naming rules:\\n-Automatic naming format: [Algorithm type]_[Date time]_[Serial number]\\n-Example: Heuristic_20240315_143025_001\\n-Users can modify the name after the solution is completed \\n \\nSaving policy:\\n-Save the last 10 records, and automatically archive more than 10 records, can be queried but not displayed in the main list \\n-support marking important records \\n-benchmark cost calculation results are also saved as historical records (transportation cost is 0)\\n\\n ### historical view \\n \\nlist display:\\n-list display fields: solution number/name, execution time, algorithm type, parameter scene name, total cost, cost composition, service level, model size (only for mathematical planning), solution status (only for mathematical planning), and execution user \\n-The table is not paginated \\n \\nView details:\\n-Click the record row to expand the details \\n-Display the transfer suggestions, cost details, basic indicators, map visualization (only for transfer suggestions) on multi-tab pages \\n-Transfer suggestions support SKU, warehouse, sort fields such as transfer amount \\n-Display cost-benefit analysis for each proposal \\n-Label whether affected by business rules \\n \\nExport function:\\n-Export PDF report: All algorithm types display this button \\n-Export model file: Only mathematical planning algorithms display this button, providing LP and MPS format selection \\n\\n### Map visualization of transfer suggestions \\n \\nFunction description: When the solution history contains transfer suggestions, map visualization is displayed on the details page. \\n \\nMap requirements:\\n-Map tool: Use Leaflet.js open source map library \\n-map base map: use Gaud map tile service \\n-map initial view: the center point is the geographic center of China (longitude 103.8, latitude 36.0), zoom level 5 \\n \\nwarehouse mark:\\n-use custom icons to mark warehouse locations \\n-use different color for different warehouse types \\n-display warehouse name, number, current inventory status \\n \\nTransfer path:\\n-Use a curve with an arrow to connect the source warehouse and the target warehouse \\n-Use a line color to distinguish different skus \\n-Use different color of lines for different skus to ensure that the same transfer path does not overlap \\n-Use Polyline to dynamically adjust the line thickness according to the amount of transfer. \\n-Use Polyline.js open source library draws to avoid path overlap \\n-Translucence effect to avoid blocking map details \\n \\nInteractive functions:\\n-Mouse hover: Display transfer details \\n-Click to interact: Fixed display details panel \\n-Legend description: Add a legend to the upper right corner of the map to explain the relationship between SKU, line thickness and transfer amount represented by different color lines \\n \\nMap controls:\\n-Zoom controls \\n-View full screen button \\n-Layer toggle \\n-Reset view button \\n\\n ---\\n\\n##10. Solution results comparison analysis \\n\\n ### Compare page layout \\n-Top: Algorithm selection area \\n-Middle: Core metrics comparison display \\n-Bottom: detailed Data Table and Map Comparison \\n\\n ### Algorithm History Selection \\n-Baseline Costing drop-down box: Select the history of baseline costing \\n-Heuristic Algorithm drop-down box: Select the history of heuristic algorithm \\n-Mathematical Programming Algorithm drop-down box: select the history record of the mathematical planning algorithm \\n-Select at least two algorithm results to compare \\n-Automatically load and display the comparison results after selection \\n\\n ### Core indicator comparison \\n-The comparison table displays the core indicators of each algorithm \\n-Contains the total cost and its decomposition (transportation, stock-out, position)\\n-Service level, number of transfers, metrics such as total allocation \\n-Optimum value highlighted in green \\n-Shows percentage improvement over baseline \\n\\n ### Visual comparison \\n-Cost comparison histogram \\n-Service level radar chart \\n-Optimization effect pie chart \\n-Allocation path map comparison (side by side)\\n\\n ### Detailed data comparison \\n-Warehouse-SKU level comparison \\n-Service level comparison of each warehouse \\n-Shortage comparison of each SKU\\n-Transfer path variance analysis \\n\\n ### Comparison result export \\n-Export comparison report (Excel format)\\n-Include all comparison data and charts \\n-Automatically generate conclusions and suggestions \\n\\n ---\\n##11. Technical architecture design \\n\\n ### Data architecture \\n-Data sharing mechanism: all warehouse and business data are system-level shared data, and user-level data isolation is not required \\n-Data access control: Read permission (all logged-in users), write permission (only administrator users)\\n-Audit log: Record all data modification operations \\n-Geographic Data Management: Predefine the standard coordinates of Beijing, Shanghai, and Guangzhou using the WGS84 coordinate system \\n-Parameter scenario storage: The scenario configuration is stored in a special data table and associated with the solution history. \\n- Model file storage (Mathematical programming only): The model file is stored in a dedicated directory of the server file system, the relative path of the database record, and the file name model_[history_id].[lp | mps]\\n\\n ### Benchmark cost calculation engine \\nAlgorithm design: calculate the cost benchmark without any transfer \\n \\nCalculation steps:\\n1. Out-of-stock cost calculation: out-of-stock quantity = max(0, demand-current inventory), out-of-stock cost = out-of-stock quantity × unit out-of-stock cost coefficient \\n2. Position cost calculation: ending inventory = max(0, current inventory-demand), holding cost = ending inventory × unit holding cost × holding cost coefficient \\n3. Total cost: benchmark total cost = total out-of-stock cost + total holding cost, transportation cost = 0\\n4. Service level calculation: service level = satisfied demand/total demand \\n \\nOutput result: total cost, total transportation cost (0), total out-of-stock cost, total holding cost, shortage of each SKU in each warehouse, service level of each SKU in each warehouse, and overall service level \\n\\n ### Heuristic calculation engine \\nAlgorithm design: Adopt greedy strategy to quickly find feasible transfer scheme \\n \\nAlgorithm execution steps:\\n-Step 0: Load parameter scenario (load all configurations from the selected parameter scenario, apply cost coefficient adjustment, load business rule configuration)\\n-Step 1: Inventory status analysis (calculate the recoverable quantity and demand gap of each SKU in each warehouse)\\n-Step 2: Build a supply and demand matching list (create a surplus warehouse list and a gap warehouse list)\\n-Step 3: Calculate the transfer priority (calculate the unit transportation cost, urgency score and comprehensive score, and arrange them in ascending order of comprehensive score)\\n-Step 4: generate a transfer scheme (process each transfer path according to priority, check business rules and constraints, and determine the transfer amount)\\n-Step 5: Scheme optimization and cost calculation (merge small-batch transfers of the same route, and calculate various costs and service levels)\\n \\nAlgorithm features:\\n-Time complexity: O(n² m), where n is the number of warehouses, m is the number of SKU \\n-space complexity: O(nm)\\n-guarantee to find feasible solution (if it exists)\\n-stable and controllable execution time \\n\\n ### mathematical programming engine \\nmodel overview: build mixed integer linear programming (MIP) model, using Google OR-Tools as the solution engine \\n \\ndecision variable definition:\\n- transfer_quantity[sku,from_warehouse,to_warehouse]: the number of SKU transfers from the source warehouse to the target warehouse (non-negative integer)\\n- is_transfer[sku,from_warehouse,to_warehouse]: whether to execute the transfer (0-1 binary variable)\\n- ending_inventory[sku,warehouse]: the end-of-period inventory of SKU in each warehouse after transfer, (non-negative integer): SKU out-of-stock quantity in each warehouse (non-negative integer)\\n \\nObjective function: \\nMinimize total cost = transportation cost + out-of-stock penalty cost + inventory holding cost \\n-transportation cost = Σtransfer_quantity [sku, I, j] × unit_transport_cost [I, j] × transport_cost_cost \\n-out-of-stock cost, j] × shortage_cost_cost \\n-cost of holding = Σending_inventory [sku,j] × unit_holding_cost[sku,j] × Holding_cost_efficient \\n \\nConstraints:\\n1. Inventory flow balance constraint: for each sku of each warehouse j:\\n ending_inventory[sku,j] = current_inventory[sku,j] + Σtransfer_quantity [sku, I, j] -Σtransfer_quantity [skrtj] \\level: make sure that the shortage quantity does not exceed the allowable range:\\n shortage_quantity[sku,j] ≤ demand[sku,j] × (1-target_service_level)\\n\\n3. Warehouse capacity constraint: the total inventory of each warehouse does not exceed its maximum capacity:\\n Σending_inventory [sku,j] ≤ max_capacity[j]. \\n Batch allocation constraint: small quantity \\n4:\\n transfer_quantity[sku, I, j] ≥ min_transfer_quantity× is_transfer[sku, I, j]\\n transfer_quantity[sku, I, j] ≤ big_m(100000) × is_transfer[sku, I, j]\\n\\n5. Business rule 0: Constraint variable, all non-integer \\nlimit variables, is_transfer ∈{0,1}\\n \\nEnhanced solution process:\\n1. Parameter scenario loading stage: load complete configuration from selected parameter scenario, analyze specific parameters of mathematical programming, and apply solver configuration \\n2. Data preparation stage: load and verify input data, construct SKU set, warehouse set and their mapping relationship, read various cost parameters from configuration table, and apply coefficient adjustment set by the user, parse and prepare business rule constraints \\n3. Model construction phase: initialize the OR-Tools solver, create all decision variables, build objective function expressions, add constraint conditions one by one, and set solver parameters (maximum execution time)\\n4. Model saving phase (execution before solving): generate a unique history ID, use the OR-Tools export interface to save the model file (call ExportModelAsLpFormat() to save the LP format, call ExportModelAsMpsFormat() to save MPS format) and save the file to the specified directory:/data/models/model_[history_id].[lp | mps], record the model file path in the database, save the model metadata (number of variables, number of constraints, etc.)\\n5. Solution execution phase: start the solver optimization process, monitor the solution progress (time limit: 10 seconds)\\n6. Result output phase: extract all non-zero transfer schemes, calculate the cost details, generate a list of transfer suggestions, and save the solution results to the historical record. \\n \\nException handling mechanism:\\n-No feasible solution: automatically diagnose the cause of constraint conflicts and provide relaxation suggestions. \\n-Solving timeout: returns the currently found best scheme, marked as \"suboptimal solution\". \\n-Data exception: prematurely detect and report data integrity problems \\n-Model save failure: Log an error and continue with the solution, but mark the model file as unavailable \\n\\n ### Core solution process \\n \\nThe solution is executed by:\\n-Using synchronous invocation mode, after the user clicks \"Generate transfer suggestion\", wait for the solution to be completed \\n-Automatically load the selected parameter scenario before solving \\n-The mathematical planning algorithm automatically saves the model file before solving \\n-Display a simple loading status during the solving process (such as \"Calculating...\")\\n-Display the result directly after the solution is completed, no progress bar or progress update required \\n-The baseline cost calculation is completed immediately, the heuristic algorithm is usually completed within 2 seconds, and the mathematical planning algorithm times out up to 10 seconds \\n-If the solution fails or times out, the error message or the current optimal solution is directly displayed \\n-All solution results are automatically saved to the historical record, including the used parameter scene information and the model file path (mathematical planning)\\n\\n ---\\n\\n##12, data Flow Design \\n\\n ### Parameter Scene Loading Process \\nUser Select Scene → Load Scene Configuration → Fill Parameter Form → User Confirm/Modify → Perform Solving → Record Scene Use \\n ### Complete Process of Mathematical Solving \\nUser Select Mathematical Planning Algorithm → Select Parameter Scene → Click \"Generate Transfer Suggestions\" → Load Scene Parameters in Background → Build OR-Tools Model → Save LP Format Model file → Save MPS format model File → Record model file path to database → Execute model solution → Save solution result to history record → Return result to front end → User view result → (optional) export model file or PDF report \\n\\n ### Download process of model file \\nThe user opens the solution history details → Check the algorithm type → (if it is a mathematical plan) Display the \"Export Model\" button → the user clicks the button to select the format (LP/MPS) → The front end sends a download request (history_id + format) → Back-end verification permissions and records → Check algorithm type → Obtain model file path from database → Verify file existence → Return file stream → Browser download file \\n\\n ### PDF report generation process \\nUser opens any solution history details → Click \"Export PDF report\" → Back-end load complete solution data → Organize content according to algorithm type → Generate charts and visualization→ PDF rendering document → Return PDF file stream → Browser Download \\n\\n ---\\n\\n##13, user Interface Process \\n\\n ### Typical Usage Process \\n1. The user logs in to the system \\n2. View inventory health status \\n3. Select or create a parameter scenario \\n4. Select a solution algorithm (benchmark/heuristic/mathematical programming)\\n5. The system automatically loads scenario parameters \\n6. Click \"Generate allocation suggestion \\\"\\n7. (mathematical programming) the system automatically saves the model file \\n8. View the solution results \\n9. (Math Planning) View the details of the mathematical model \\n10. (Optional) Export the model file (LP/MPS)\\n11. (Optional) Export the PDF report \\n12. Compare different scenarios/algorithm results \\n13. Export the analysis report \\n\\n ### Administrator configuration process \\n1. Manage parameter scenarios \\n2. Set the default scenario \\n3. Configure business rules \\n4. Manage user permissions \\n5. View system usage statistics \\n6.Manage model file storage (clean up expired files, etc.)\\n\\n ### Other:\\n1. No need to integrate with existing enterprise systems;\\n2. 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Work Day Table:\\n   - Date\\n   - Date type (work day/rest day)\\n   - Displayed in calendar format\\n   - Default weekends are rest days\\n   - Administrator can manually modify daily work/rest status\\n\\n### Data Management Functions (Administrator Only)\\n\\nPosition Table Management:\\n- Add position\\n- Delete position\\n- Modify position information (position name, staff requirement)\\n- Query position\\n\\nEmployee Table Management:\\n- Add employee\\n- Delete employee\\n- Modify employee information (assign position)\\n- Query employee\\n\\nLeave Approval:\\n- View all leave applications\\n- Approve leave applications\\n- Reject leave applications\\n\\n---\\n\\n## 3. Scheduling Module\\n\\n### Algorithm Design\\n\\nUse OR-Tools optimization solver to establish integer programming model, plan scheduling results by natural month, and display in calendar format.\\n\\n### Decision Variables\\n\\n- Whether employee attends on a given day (binary variable): x[employee, day] ∈ {0, 1}\\n- Maximum attendance days (non-negative integer): max_days ≥ 0\\n- Minimum attendance days (non-negative integer): min_days ≥ 0\\n\\n### Optimization Objective\\n\\nUnder constraint satisfaction, find the most fair scheduling result:\\n\\nMinimize: max_days - min_days\\n\\nThat is: Min(Employee with most work days in natural month - Employee with least work days in natural month)\\n\\n### Constraints\\n\\n1. Rest Day Constraint:\\n   No attendance allowed on rest days\\n   For all employees e and rest days d: x[e, d] = 0\\n\\n2. Position Requirement Constraint:\\n   On work days, for each position, number of attending employees = position staff requirement\\n   For each position p and work day d: Σ x[e, d] = required_staff[p]\\n   (where e are employees belonging to position p)\\n\\n3. Leave Constraint:\\n   Approved leave employees cannot be scheduled on leave dates\\n   For all approved leave employees e and leave dates d: x[e, d] = 0\\n\\n4. Attendance Days Constraint:\\n   Minimum attendance days ≤ Each employee's attendance days ≤ Maximum attendance days\\n   For all employees e: min_days ≤ Σ x[e, d] ≤ max_days\\n   (d for all dates in the month)\\n\\n### Modeling Process Description\\n\\nNeed to explain modeling process on the page, including:\\n\\n1. Model type: Integer Programming\\n2. Solver: Google OR-Tools\\n3. Decision variable definitions and meanings\\n4. Optimization objective explanation (fairness indicator)\\n5. Detailed constraint condition explanations\\n6. Solution process explanation\\n7. 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Cost）\\n- 缺货成本（Shortage Cost）\\n- 仓库容量（Warehouse Capacity）\\n\\n每个标签页功能：\\n- 表格展示区：显示对应数据表的所有记录，表格不分页\\n- 操作按钮区：上传数据（仅管理员可见）、下载模板、导出数据、刷新数据\\n- 数据状态标识：数据更新时间显示、数据完整性标识（✅完整/⚠️部分缺失/❌严重缺失）、记录数统计\\n\\n### 数据上传（仅管理员）\\n\\n- 支持Excel(.xlsx)文件上传，文件大小限制10MB\\n- 提供标准Excel模板下载，每个数据表对应一个工作表(Sheet)\\n- 上传数据立即覆盖现有数据，对所有用户可见\\n- 支持批量上传（一个Excel文件包含多个数据表）或单表上传\\n\\n数据上传错误处理：\\n- 文件格式错误：文件格式/大小超限提示\\n- 表结构错误：缺失必需列或列名错误提示\\n- 数据类型错误：字段类型不匹配提示\\n- 数据验证错误：数据值不符合规则提示\\n- 数据重复错误：重复记录提示\\n- 数据完整性错误：缺失关键数据提示\\n\\n错误处理机制：\\n- 发现错误立即停止上传，不进行部分数据更新\\n- 错误信息以弹窗形式展示，包含详细的错误位置和修正建议\\n- 支持下载错误报告，包含所有错误的详细列表\\n- 提供'修正并重试'选项，保留用户上传的文件\\n\\n### 核心数据表展示\\n\\nSKU主数据表展示：\\n- 表格列：SKU编码、SKU名称、SKU描述、创建时间、更新时间\\n- 特殊标识：新增SKU用蓝色标记，最近更新用黄色背景\\n\\n仓库主数据表展示：\\n- 表格列：仓库编号、仓库名称、仓库类型、仓库地址、仓库位置（限制中国大陆地区城市）、经度、纬度、状态\\n- 特殊标识：中央仓用特殊图标标记\\n\\n运输成本表展示：\\n- 表格列：源仓库、目标仓库、单位运输成本、更新时间\\n- 特殊标识：每条运输路线使用不同颜色标注\\n- 矩阵视图选项：可切换为仓库×仓库的成本矩阵展示\\n\\n缺货成本表展示：\\n- 表格列：SKU编码、仓库编号、单位缺货成本、更新时间\\n- 默认值提示：缺失数据显示'默认1元/件'灰色文字\\n\\n持仓成本表展示：\\n- 表格列：SKU编码、仓库编号、单位持仓成本、更新时间\\n- 默认值提示：缺失数据显示'默认0.1元/件'灰色文字\\n\\n当前库存表展示：\\n- 表格列：SKU编码、仓库编号、当前库存量、最后盘点时间\\n- 特殊标识：零库存用红色标记，高库存用绿色标记\\n\\n需求预测表展示：\\n- 表格列：SKU编码、仓库编号、预期需求量、预测准确度\\n\\n仓库容量表展示：\\n- 表格列：仓库编号、最大容量、当前使用量、使用率\\n- 特殊标识：使用率>80%用黄色预警，>95%用红色警告\\n\\n### 数据查看与下载（所有用户）\\n\\n查看功能：\\n- 所有数据表支持排序、筛选、搜索功能\\n- 库存详情展示：按仓库维度和SKU维度展示\\n- 库存状态标识：充足（绿色）、预警（黄色）、缺货（红色）\\n\\n下载功能：\\n- 支持Excel格式导出所有数据\\n- 可选择导出单个数据表或全部数据表\\n- 导出文件包含数据字典说明\\n\\n### 预置数据要求\\n\\n- 预置3个仓库、6个SKU的完整数据集\\n- 仓库位置：北京（116.4074,39.9042）、上海（121.4737,31.2304）、广州（113.2644,23.1291）\\n- 包含缺货、积压、正常三种业务场景\\n\\n### 数据验证与预处理\\n\\n- 格式验证：SKU编码、仓库编号、数值字段的合法性检查\\n- 一致性检查：跨表数据一致性、重复记录、异常值检测\\n- 智能补全：缺失成本默认值、缺失坐标自动填充\\n\\n### 数据结构定义\\n\\n- SKU主数据表：SKU编码、SKU名称、SKU描述\\n- 仓库主数据表：仓库编号、仓库名称、仓库类型、仓库地址、仓库位置、经度、纬度\\n- 当前库存表：SKU编码、仓库编号、当前库存量\\n- 需求预测表：SKU编码、仓库编号、预期需求量\\n- 运输成本表：源仓库、目标仓库、单位运输成本\\n- 持仓成本表：SKU编码、仓库编号、单位持仓成本\\n- 缺货成本表：SKU编码、仓库编号、单位缺货成本\\n- 仓库容量表：仓库编号、最大容量\\n\\n---\\n\\n## 四、库存健康监控\\n\\n### 仓库健康度评分\\n\\n健康度得分 = 风险SKU占比得分(40%) + 平均充足率得分(50%) + 容量利用率得分(10%)\\n\\n特殊情况：\\n- 仓库总库存为0时，健康度固定为0分（🔴危险）\\n- 仓库无需求时，健康度固定为100分（🟢正常/闲置）\\n\\n详细计算方法：\\n\\n1. 风险SKU占比得分（40%）\\n   - 统计SKU总数和风险SKU数（充足率<1.0）\\n   - 得分 = (1-风险SKU占比)×100×40%\\n\\n2. 平均充足率得分（50%）\\n   - 充足率 = 当前库存/预期需求\\n   - 得分 = min(平均充足率,1.0)×100×50%\\n\\n3. 容量利用率得分（10%）\\n   - 利用率≤80%：得分=10分\\n   - 利用率80%-95%：得分=(95-利用率)/15×10分\\n   - 利用率>95%：得分=0分\\n\\n健康度等级：\\n- 🟢正常：>80分\\n- 🟡预警：60-80分\\n- 🔴危险：<60分\\n\\n### 前端展示\\n\\n- 在页面顶部显示'计算规则说明'可展开面板\\n- 健康度得分旁显示各项得分明细（鼠标悬停或点击展开）\\n- 总库存为0显示'⚠️空仓'，无需求显示'💤闲置'\\n- 风险SKU列表展示：SKU编码/名称、当前库存、预期需求、充足率\\n- 充足率颜色：<0.5红色，0.5-1黄色，>=1绿色\\n\\n---\\n\\n## 五、参数场景管理\\n\\n### 场景管理中心\\n\\n功能：统一管理求解参数配置\\n\\n页面布局：\\n- 场景列表区：显示场景名称、描述、创建时间、创建人、最后修改时间\\n- 操作按钮：查看详情、编辑（仅管理员）、删除（仅管理员）、复制、设为默认\\n- 场景详情区：显示完整参数配置，分组展示（基础参数、成本系数、业务规则）\\n\\n### 场景参数定义\\n\\n基础参数：\\n- 目标服务水平（50%-100%）\\n- 最小调拨量（件）\\n- 最大求解时间（秒）\\n\\n成本系数：\\n- 运输成本系数（0.5-2倍）\\n- 缺货成本系数（0.5-3倍）\\n- 持仓成本系数（0.5-2倍）\\n\\n业务规则：\\n- 是否启用运输禁止规则\\n- 是否启用最大运输量限制\\n\\n### 场景创建与编辑\\n\\n- 通过表单输入场景名称、描述和各项参数\\n- 参数输入时提供合理范围提示和验证\\n- 管理员可修改场景名称、描述和参数值\\n\\n### 场景应用\\n\\n- 在求解界面增加'选择参数场景'下拉框\\n- 默认加载系统默认场景或最近使用的场景\\n- 选择场景后自动填充所有参数配置\\n- 支持临时修改参数而不影响保存的场景\\n- 记录每次求解使用的场景，在历史中显示场景名称\\n\\n---\\n\\n## 六、调拨决策引擎\\n\\n### 算法选择\\n\\n三种算法：\\n1. 基准成本计算：仅计算当前状态的成本，不进行调拨优化\\n2. 启发式引擎：计算快速(<2秒)，适合日常决策\\n3. 数学规划引擎：全局最优，适合重要决策(最多10秒)\\n\\n### 参数配置方式\\n\\n- 场景加载模式：从参数场景管理中选择预设场景\\n- 自定义模式：手动调整各项参数\\n- 混合模式：加载场景后进行局部调整\\n\\n### 调拨建议生成\\n\\n- 点击'生成调拨建议'执行计算\\n- 同步调用算法引擎，等待计算完成后直接返回结果\\n- 执行前自动加载选定的参数场景配置\\n- 结果包含：总调拨数量、总成本、详细调拨建议表\\n- 建议按成本效益排序，表格不分页\\n\\n### 调拨方案详情\\n\\n- 调拨理由：需求满足分析、供给能力分析、成本效益分析\\n- 风险改善指标：缺货概率降低、库存充足率提升、服务水平改善\\n- 方案可行性验证：库存约束、容量约束、业务规则验证## 七、数学模型展示与导出\\n\\n### 模型可视化展示\\n- 模型概览：模型类型（MILP）、决策变量数量、约束条件数量、求解器配置\\n- 目标函数展示：使用数学公式格式展示，分别展示运输成本、缺货成本、持仓成本的计算公式\\n- 约束条件展示：分类展示（流平衡、服务水平、容量、业务规则等），使用数学符号渲染\\n\\n### 模型公式渲染\\n- 使用MathJax或KaTeX数学公式渲染库\\n- 支持标准数学符号和希腊字母\\n- 提供公式说明和变量定义\\n\\n### 模型文件保存与导出（仅数学规划算法）\\n\\n模型文件保存机制：\\n1. 模型构建：使用OR-Tools构建MILP模型\\n2. 模型保存（求解前）：自动保存LP格式和MPS格式，文件命名model_[history_id].[lp|mps]\\n3. 模型求解：保存完成后立即执行求解\\n\\n模型文件下载：\\n- 下载入口：求解历史详情页面（仅数学规划算法显示'导出模型'按钮）\\n- 下载选项：LP格式、MPS格式\\n- 文件命名：inventory_model_[history_id].[lp|mps]\\n\\n### 求解报告导出（所有算法）\\n\\nPDF报告内容：\\n1. 报告封面：标题、求解编号、生成时间、算法类型、执行用户\\n2. 参数配置：场景名称、完整参数配置、业务规则配置\\n3. 输入数据快照：仓库信息、SKU信息、当前库存、需求预测\\n4. 求解结果：成本汇总、服务水平指标、调拨建议明细、缺货量和服务水平\\n5. 模型信息（仅数学规划）：模型类型、变量数量、约束数量、求解器状态、目标函数、约束条件\\n6. 可视化图表：成本构成饼图、调拨路径地图、服务水平对比图\\n7. 结论与建议：优化效果总结、关键发现和建议\\n\\nPDF导出：所有算法记录都显示'导出PDF报告'按钮，文件命名：求解报告_[算法类型]_[日期时间].pdf\\n\\n---\\n\\n## 八、业务规则管理（仅管理员可编辑）\\n\\n### 规则配置界面\\n- 权限：管理员可新增、编辑、删除规则，普通用户只能查看\\n- 规则编辑器：支持JSON格式输入，语法高亮、自动补全、实时语法检查、规则预览\\n\\n### 支持的规则类型\\n1. 运输禁止规则（TRANSPORT_BAN）：\\n   {\\\"type\\\":\\\"TRANSPORT_BAN\\\",\\\"source\\\":\\\"仓库A\\\",\\\"target\\\":\\\"仓库B\\\"}\\n   作用：禁止从指定源仓库到目标仓库的调拨\\n\\n2. 最大运输量限制（MAX_TRANSPORT_QUANTITY）：\\n   {\\\"type\\\":\\\"MAX_TRANSPORT_QUANTITY\\\",\\\"sku\\\":\\\"sku1\\\",\\\"max_quantity\\\":100}\\n   作用：限制特定SKU的单次最大调拨量\\n\\n### 规则管理功能\\n- 规则列表展示（不分页）\\n- 添加/编辑/删除规则\\n- 批量导入/导出规则\\n- 规则启用/禁用切换\\n\\n### 规则验证与执行\\n- 格式验证：JSON格式、必填字段、字段值合法性\\n- 逻辑验证：重复规则、冲突规则、业务合理性\\n- 执行机制：数学规划引擎设置硬约束，启发式引擎在方案生成时应用规则\\n- 规则追踪：记录调拨建议是否受规则影响，提供规则影响分析报告\\n\\n---\\n\\n## 九、求解历史管理\\n\\n### 历史记录保存\\n\\n自动保存内容：\\n- 基础信息：求解编号/名称、求解时间、执行用户、算法类型、使用的参数场景ID和名称、完整参数配置快照\\n- 输入数据快照：完整的输入数据集（包含仓库位置信息）\\n- 求解结果：调拨建议列表、成本明细（总成本、运输成本、缺货成本、持仓成本）\\n- 详细指标：每个仓库每个SKU的缺货量、每个仓库每个SKU的服务水平、整体服务水平\\n- 模型信息（数学规划算法）：决策变量数量、约束条件数量、求解器状态、模型文件路径（LP和MPS格式）\\n\\n求解命名规则：\\n- 自动命名格式：[算法类型]_[日期时间]_[序号]\\n- 示例：启发式_20240315_143025_001\\n- 用户可在求解完成后修改名称\\n\\n保存策略：\\n- 保存最近10次记录，超过10条的记录自动归档,可查询但不在主列表显示\\n- 支持标记重要记录\\n- 基准成本计算结果也保存为历史记录（运输成本为0）\\n\\n### 历史查看\\n\\n列表展示：\\n- 列表显示字段：求解编号/名称、执行时间、算法类型、参数场景名称、总成本、成本构成、服务水平、模型规模（仅数学规划）、求解状态（仅数学规划）、执行用户\\n- 表格不分页\\n\\n详情查看：\\n- 点击记录行展开详细信息\\n- 多标签页显示：调拨建议、成本明细、基本指标、地图可视化（仅有调拨建议时显示）\\n- 调拨建议支持按SKU、仓库、调拨量等字段排序\\n- 显示每条建议的成本效益分析\\n- 标注是否受业务规则影响\\n\\n导出功能：\\n- 导出PDF报告：所有算法类型都显示此按钮\\n- 导出模型文件：仅数学规划算法显示此按钮，提供LP和MPS格式选择\\n\\n### 调拨建议地图可视化\\n\\n功能描述：当求解历史包含调拨建议时，在详情页面展示地图可视化\\n\\n地图要求：\\n- 地图工具：使用Leaflet.js开源地图库\\n- 地图底图：使用高德地图瓦片服务\\n- 地图初始视图：中心点为中国地理中心（经度103.8，纬度36.0），缩放级别5级\\n\\n仓库标记：\\n- 使用自定义图标标记仓库位置\\n- 不同仓库类型使用不同颜色\\n- 显示仓库名称、编号、当前库存状态\\n\\n调拨路径：\\n- 使用带箭头的曲线连接源仓库和目标仓库\\n- 线条颜色区分不同SKU\\n- 不同SKU使用不同颜色的线条，确保相同调拨路径不会重叠\\n- 线条粗细根据调拨量大小动态调整\\n- 使用Polyline.js开源库绘制，避免路径重叠\\n- 半透明效果，避免遮挡地图细节\\n\\n交互功能：\\n- 鼠标悬停：显示调拨详情信息\\n- 点击交互：固定显示详细信息面板\\n- 图例说明：在地图右上角添加图例，说明不同颜色线条代表的SKU和线条粗细与调拨量的关系\\n\\n地图控件：\\n- 缩放控件\\n- 全屏查看按钮\\n- 图层切换\\n- 重置视图按钮\\n\\n---\\n\\n## 十、求解结果对比分析\\n\\n### 对比页面布局\\n- 顶部：算法选择区域\\n- 中部：核心指标对比展示\\n- 底部：详细数据表格和地图对比\\n\\n### 算法历史选择\\n- 基准成本计算下拉框：选择基准成本计算的历史记录\\n- 启发式算法下拉框：选择启发式算法的历史记录\\n- 数学规划算法下拉框：选择数学规划算法的历史记录\\n- 至少选择两个算法结果才能进行对比\\n- 选择后自动加载并展示对比结果\\n\\n### 核心指标对比\\n- 对比表格展示各算法的核心指标\\n- 包含总成本及其分解（运输、缺货、持仓）\\n- 服务水平、调拨次数、调拨总量等指标\\n- 最优值用绿色高亮显示\\n- 显示相对于基准的改善百分比\\n\\n### 可视化对比\\n- 成本对比柱状图\\n- 服务水平雷达图\\n- 优化效果饼图\\n- 调拨路径地图对比（并排展示）\\n\\n### 详细数据对比\\n- 仓库-SKU级别对比\\n- 各仓库的服务水平对比\\n- 各SKU的缺货量对比\\n- 调拨路径差异分析\\n\\n### 对比结果导出\\n- 导出对比报告（Excel格式）\\n- 包含所有对比数据和图表\\n- 自动生成结论和建议\\n\\n---\\n\\n## 十一、技术架构设计\\n\\n### 数据架构\\n- 数据共享机制：所有仓库和业务数据为系统级共享数据，不进行用户级数据隔离\\n- 数据访问控制：读权限（所有已登录用户），写权限（仅管理员用户）\\n- 审计日志：记录所有数据修改操作\\n- 地理数据管理：使用WGS84坐标系，预定义北京、上海、广州三个城市的标准坐标\\n- 参数场景存储：场景配置存储在专门的数据表中，与求解历史关联存储\\n- 模型文件存储（仅数学规划）：模型文件存储在服务器文件系统专用目录，数据库记录相对路径，文件命名model_[history_id].[lp|mps]\\n\\n### 基准成本计算引擎\\n算法设计：计算不进行任何调拨情况下的成本基准\\n\\n计算步骤：\\n1. 缺货成本计算：缺货量=max(0,需求-当前库存)，缺货成本=缺货量×单位缺货成本×缺货成本系数\\n2. 持仓成本计算：期末库存=max(0,当前库存-需求)，持仓成本=期末库存×单位持仓成本×持仓成本系数\\n3. 总成本：基准总成本=总缺货成本+总持仓成本，运输成本=0\\n4. 服务水平计算：服务水平=满足的需求/总需求\\n\\n输出结果：总成本、总运输成本（0）、总缺货成本、总持仓成本、各仓库各SKU的缺货量、各仓库各SKU的服务水平、整体服务水平\\n\\n### 启发式计算引擎\\n算法设计：采用贪心策略，快速找到可行的调拨方案\\n\\n算法执行步骤：\\n- 步骤零：加载参数场景（从选定的参数场景中加载所有配置，应用成本系数调整，加载业务规则配置）\\n- 步骤一：库存状态分析（计算每个SKU在每个仓库的可调出量和需求缺口）\\n- 步骤二：构建供需匹配列表（创建富余仓库列表和缺口仓库列表）\\n- 步骤三：计算调拨优先级（计算单位运输成本、紧急程度得分、综合得分，按综合得分升序排列）\\n- 步骤四：生成调拨方案（按优先级处理每个调拨路径，检查业务规则约束，确定调拨量）\\n- 步骤五：方案优化与成本计算（合并相同路线的小批量调拨，计算各项成本和服务水平）\\n\\n算法特点：\\n- 时间复杂度：O(n²m)，其中n为仓库数，m为SKU数\\n- 空间复杂度：O(nm)\\n- 保证找到可行解（如果存在）\\n- 执行时间稳定可控\\n\\n### 数学规划引擎\\n模型概述：构建混合整数线性规划（MILP）模型，使用Google OR-Tools作为求解引擎\\n\\n决策变量定义：\\n- transfer_quantity[sku,from_warehouse,to_warehouse]：SKU从源仓库调拨到目标仓库的数量（非负整数）\\n- is_transfer[sku,from_warehouse,to_warehouse]：是否执行该调拨（0-1二进制变量）\\n- ending_inventory[sku,warehouse]：调拨后SKU在各仓库的期末库存（非负整数）\\n- shortage_quantity[sku,warehouse]：SKU在各仓库的缺货数量（非负整数）\\n\\n目标函数：\\n最小化总成本 = 运输成本 + 缺货惩罚成本 + 库存持有成本\\n- 运输成本 = Σ transfer_quantity[sku,i,j] × unit_transport_cost[i,j] × transport_cost_coefficient\\n- 缺货成本 = Σ shortage_quantity[sku,j] × unit_shortage_cost[sku,j] × shortage_cost_coefficient\\n- 持仓成本 = Σ ending_inventory[sku,j] × unit_holding_cost[sku,j] × holding_cost_coefficient\\n\\n约束条件：\\n1. 库存流平衡约束：对每个仓库j的每个sku：\\n   ending_inventory[sku,j] = current_inventory[sku,j] + Σ transfer_quantity[sku,i,j] - Σ transfer_quantity[sku,j,k] - demand[sku,j] + shortage_quantity[sku,j]\\n\\n2. 服务水平约束：确保缺货量不超过允许范围：\\n   shortage_quantity[sku,j] ≤ demand[sku,j] × (1 - target_service_level)\\n\\n3. 仓库容量约束：每个仓库的总库存不超过其最大容量：\\n   Σ ending_inventory[sku,j] ≤ max_capacity[j]\\n\\n4. 最小调拨量约束：避免小批量调拨，提高运输效率：\\n   transfer_quantity[sku,i,j] ≥ min_transfer_quantity × is_transfer[sku,i,j]\\n   transfer_quantity[sku,i,j] ≤ big_m(100000) × is_transfer[sku,i,j]\\n\\n5. 业务规则约束：运输禁止、最大运输量限制\\n\\n6. 变量非负性和整数约束：所有数量变量≥0且为整数，is_transfer∈{0,1}\\n\\n增强的求解流程：\\n1. 参数场景加载阶段：从选定的参数场景加载完整配置，解析数学规划特定参数，应用求解器配置\\n2. 数据准备阶段：加载并验证输入数据，构建SKU集合、仓库集合及其映射关系，从配置表读取各类成本参数，应用用户设定的系数调整，解析并准备业务规则约束\\n3. 模型构建阶段：初始化OR-Tools求解器，创建所有决策变量，构建目标函数表达式，逐条添加约束条件，设置求解器参数（最大执行时间）\\n4. 模型保存阶段（求解前执行）：生成唯一的历史记录ID，使用OR-Tools导出接口保存模型文件（调用ExportModelAsLpFormat()保存LP格式，调用ExportModelAsMpsFormat()保存MPS格式），文件保存到指定目录：/data/models/model_[history_id].[lp|mps]，在数据库中记录模型文件路径，保存模型元数据（变量数、约束数等）\\n5. 求解执行阶段：启动求解器优化过程，监控求解进度（时间限制：10秒）\\n6. 结果输出阶段：提取所有非零调拨方案，计算各项成本明细，生成调拨建议清单，保存求解结果到历史记录\\n\\n异常处理机制：\\n- 无可行解：自动诊断约束冲突原因，提供放松建议\\n- 求解超时：返回当前找到的最佳方案，标注为\\\"次优解\\\"\\n- 数据异常：提前检测并报告数据完整性问题\\n- 模型保存失败：记录错误日志，继续执行求解，但标记模型文件不可用\\n\\n### 核心求解流程\\n\\n求解执行方式：\\n- 采用同步调用模式，用户点击\\\"生成调拨建议\\\"后等待求解完成\\n- 求解前自动加载选定的参数场景\\n- 数学规划算法在求解前自动保存模型文件\\n- 求解过程中显示简单的加载状态（如\\\"正在计算中...\\\"）\\n- 求解完成后直接展示结果，无需进度条或进度更新\\n- 基准成本计算立即完成，启发式算法通常在2秒内完成，数学规划算法最多10秒超时\\n- 如果求解失败或超时，直接显示错误信息或当前最优解\\n- 所有求解结果自动保存到历史记录，包含使用的参数场景信息和模型文件路径（数学规划）\\n\\n---\\n\\n## 十二、数据流设计\\n\\n### 参数场景加载流程\\n用户选择场景 → 加载场景配置 → 填充参数表单 → 用户确认/修改 → 执行求解 → 记录场景使用\\n\\n### 数学规划求解完整流程\\n用户选择数学规划算法 → 选择参数场景 → 点击\\\"生成调拨建议\\\" → 后台加载场景参数 → 构建OR-Tools模型 → 保存LP格式模型文件 → 保存MPS格式模型文件 → 记录模型文件路径到数据库 → 执行模型求解 → 保存求解结果到历史记录 → 返回结果给前端 → 用户查看结果 → （可选）导出模型文件或PDF报告\\n\\n### 模型文件下载流程\\n用户打开求解历史详情 → 检查算法类型 → （如果是数学规划）显示\\\"导出模型\\\"按钮 → 用户点击按钮选择格式（LP/MPS） → 前端发送下载请求（history_id + format） → 后端验证权限和记录 → 检查算法类型 → 从数据库获取模型文件路径 → 验证文件存在 → 返回文件流 → 浏览器下载文件\\n\\n### PDF报告生成流程\\n用户打开任意求解历史详情 → 点击\\\"导出PDF报告\\\" → 后端加载完整求解数据 → 根据算法类型组织内容 → 生成图表和可视化 → 渲染PDF文档 → 返回PDF文件流 → 浏览器下载\\n\\n---\\n\\n## 十三、用户界面流程\\n\\n### 典型使用流程\\n1. 用户登录系统\\n2. 查看库存健康状态\\n3. 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自然月内上班日数最少的员工)\\n\\n### 约束条件\\n\\n1. 休息日约束：\\n   休息日不可以出勤上班\\n   对所有员工e和休息日d：x[e, d] = 0\\n\\n2. 岗位需求约束：\\n   工作日，对于每一个岗位，出勤员工数量 = 岗位需求人数\\n   对每个岗位p和工作日d：Σ x[e, d] = required_staff[p]\\n   （其中e为属于岗位p的员工）\\n\\n3. 请假约束：\\n   请假已批准的员工，当日不可以被排班\\n   对所有已批准请假的员工e和请假日期d：x[e, d] = 0\\n\\n4. 出勤日数约束：\\n   最小出勤日数 ≤ 每个员工出勤日数 ≤ 最大出勤日数\\n   对所有员工e：min_days ≤ Σ x[e, d] ≤ max_days\\n   （d为当月所有日期）\\n\\n### 建模流程说明\\n\\n需要在页面上对建模流程进行说明，包括：\\n\\n1. 模型类型：整数规划（Integer Programming）\\n2. 求解器：Google OR-Tools\\n3. 决策变量定义及含义\\n4. 优化目标说明（公平性指标）\\n5. 约束条件详细说明\\n6. 求解过程说明\\n7. 结果解释\\n\\n### 排班结果展示\\n\\n- 以日历的形式展示排班结果\\n- 按自然月份显示\\n- 每个日期显示当日出勤的员工列表\\n- 不同岗位使用不同颜色区分\\n- 休息日用特殊标识显示\\n- 显示优化目标结果（最大出勤日数 - 最小出勤日数）\\n- 显示每个员工的总出勤日数统计\\n\\n---\\n\\n## 四、典型使用流程\\n\\n1. 管理员配置岗位、员工数据\\n   - 创建岗位并设置需求人数\\n   - 为员工分配岗位\\n\\n2. 管理员配置自然月内的节假日情况\\n   - 在日历视图中标记休息日和工作日\\n   - 系统默认周末为休息日\\n   - 管理员可手动调整特殊日期\\n\\n3. 普通用户提交请假申请，管理员同意/驳回申请\\n   - 员工在系统中选择请假日期并提交申请\\n   - 管理员查看请假申请列表\\n   - 管理员同意或拒绝请假申请\\n\\n4. 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