Complete Network Diagram - Facility and Carrier Assignment Problem

Network Structure

Stage 1 - Customers: 46 customers placing 9,215 orders
Stage 2 - Plants: 19 plants (PLANT01-PLANT19) with varying daily capacities (7-1,070 orders/day)
Stage 3 - Origin Ports: 11 ports total:
- 10 regular origin ports: PORT01, PORT02, PORT03, PORT04, PORT05, PORT06, PORT07, PORT08, PORT10, PORT11
- 1 dual-role port: PORT09 (serves as BOTH origin AND destination)
- Note: PORT01 appears in plant-port connections but has no freight rates defined
Stage 4 - Carriers: 9 carriers (V444_0, V444_1, V444_2, V444_4, V444_5, V444_6, V444_7, V444_8, V444_9) with service levels (DTD, DTP, CRF)
Stage 5 - Destination: Single destination port (PORT09) - same physical location as origin PORT09
Temporal Dimension: 9-day planning horizon (May 26 - June 3, 2013)

Key Constraints

Plant-port connectivity: Not all plant-port combinations are feasible
Product availability: 82.5% of products available at only 1 plant
VMI restrictions: 10 customers with restricted plant assignments; 1,045 VMI orders (50.0% of 2,089 VMI orders) are infeasible due to product unavailability at assigned plants
Service level requirements: Carrier-service level exclusive pairings
Capacity: Daily network capacity = 5,791 orders/day (sum of all plant capacities)
Temporal windows: Each order has min/max shipping dates based on delivery date, TPT, and warehousing constraints

▶ Network Connection Verification (Click to expand)

Corrected Connections in Final Diagram

Stage 1 → Stage 2: Customers to Plants

Customer box (46 customers, 9,215 orders) connects to ALL 19 plants

Stage 2 → Stage 3: Plants to Origin Ports

Based on PlantPorts data:

                            PLANT01 →PORT01, PORT02
                            PLANT02 →PORT03
                            PLANT03 →PORT04
                            PLANT04 →PORT05
                            PLANT05 →PORT06
                            PLANT06 →PORT06
                            PLANT07 →PORT01, PORT02
                            PLANT08 →PORT04
                            PLANT09 →PORT04
                            PLANT10 →PORT01, PORT02 ✔
                            PLANT11 →PORT04
                            PLANT12 →PORT04
                            PLANT13 →PORT04
                            PLANT14 →PORT07
                            PLANT15 →PORT08
                            PLANT16 →PORT09
                            PLANT17 →PORT10
                            PLANT18 →PORT11
                            PLANT19 →PORT04
                        

Stage 3 → Stage 4: Origin Ports to Carriers

Based on FreightRates data:

                            PORT01 →(none - no freight rates defined)
                            PORT02 →V444_0, V444_1, V444_2, V444_4, V444_5, V444_8 ✔ (6 carriers)
                            PORT03 →V444_0, V444_5, V444_7, V444_8 (4 carriers)
                            PORT04 →V444_0, V444_1, V444_4, V444_8 (4 carriers)
                            PORT05 →V444_1, V444_4, V444_5 (3 carriers)
                            PORT06 →V444_1, V444_4, V444_5 (3 carriers)
                            PORT07 →V444_2 (1 carrier)
                            PORT08 →V444_2, V444_6, V444_9 (3 carriers)
                            PORT09 →V444_0, V444_5, V444_8 (3 carriers)
                            PORT10 →V444_1, V444_2, V444_4, V444_6 (4 carriers)
                            PORT11 →V444_2, V444_8 (2 carriers)
                        

Stage 4 → Stage 5: Carriers to Destination

ALL 9 carriers (V444_0, V444_1, V444_2, V444_4, V444_5, V444_6, V444_7, V444_8, V444_9) → PORT09 (destination)