500 Production Denver 800 Production TRANSSHIPMENT PROBLEM Atlanta 3 2 4.5 3.5 3.5 Kansas City 4 Louisvill 2 5.5 3 6 4.5 Find the minimum cost of transporting the required goods through Kansas City and Louisville 4 6 5.5 Fargo Detroit Miami Dallas New Orleans 50 Demand 100 Demand 150 Demand 250 Demand 150 Demand

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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**Transshipment Problem**

This diagram represents a transshipment problem, aiming to find the minimum cost of transporting goods through Kansas City and Louisville.

### Key Elements of the Diagram:

- **Nodes:**
  - **Production Nodes:**
    - **Denver**: 500 units production capacity.
    - **Atlanta**: 800 units production capacity.
    
  - **Intermediate/Transshipment Nodes:**
    - **Kansas City**
    - **Louisville**

  - **Demand Nodes:**
    - **Fargo**: Requires 50 units.
    - **Detroit**: Requires 100 units.
    - **Miami**: Requires 150 units.
    - **Dallas**: Requires 250 units.
    - **New Orleans**: Requires 150 units.

- **Arcs and Costs:**
  - The arrows indicate possible routes for transporting goods, with numbers representing the transportation cost per unit between nodes.
  - Example routes:
    - Denver to Kansas City: Cost 2
    - Atlanta to Louisville: Cost 3
    - Kansas City to Miami: Cost 6
    - Louisville to New Orleans: Cost 5.5

### Problem Statement:

Determine the minimum transportation cost needed to meet the demand at various locations by utilizing the production at Denver and Atlanta, while passing through Kansas City and Louisville. This involves optimizing the flow of goods while considering the given transportation costs.
Transcribed Image Text:**Transshipment Problem** This diagram represents a transshipment problem, aiming to find the minimum cost of transporting goods through Kansas City and Louisville. ### Key Elements of the Diagram: - **Nodes:** - **Production Nodes:** - **Denver**: 500 units production capacity. - **Atlanta**: 800 units production capacity. - **Intermediate/Transshipment Nodes:** - **Kansas City** - **Louisville** - **Demand Nodes:** - **Fargo**: Requires 50 units. - **Detroit**: Requires 100 units. - **Miami**: Requires 150 units. - **Dallas**: Requires 250 units. - **New Orleans**: Requires 150 units. - **Arcs and Costs:** - The arrows indicate possible routes for transporting goods, with numbers representing the transportation cost per unit between nodes. - Example routes: - Denver to Kansas City: Cost 2 - Atlanta to Louisville: Cost 3 - Kansas City to Miami: Cost 6 - Louisville to New Orleans: Cost 5.5 ### Problem Statement: Determine the minimum transportation cost needed to meet the demand at various locations by utilizing the production at Denver and Atlanta, while passing through Kansas City and Louisville. This involves optimizing the flow of goods while considering the given transportation costs.
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