# Transportation And Assignment Problem The variable costs and capacity for each department is shown below. Each fabrication and assembly department has a different monthly capacity, and it is desirable that each department operate at capacity. (Use the minimum cost method to find an initial feasible solution and the transportation simplex method to find an optimal solution.) Compute the optimal total monthly cost?

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Products to bidders and research problem to teams and so on.

The Name “assignment problem” originates from the classical problem where the objective is to assign a number of origins (Job) to the equal number of destinations (Persons) at a minimum cast (or maximum profit).

(Use the minimum cost method to find an initial feasible solution and the transportation simplex method to find an optimal solution.) ANSWER: Factory A to Warehouse 4 units Factory B to Warehouse 3 units Factory C to Warehouse 2 units Factory D to Warehouse 1 units Factory D to Warehouse 3 units Total Cost 41. has three fabrication departments with each producing a single unique product with equipment that is dedicated solely to its product.

To use the transportation simplex method, a transportation problem that is unbalanced requires the use of a. What will the monthly shipping cost be if the shipping plan is followed?

The transportation simplex method is limited to minimization problems.

For an assignment problem with 3 agents and 4 tasks, the assignment matrix will have 3 rows and 4 columns. Number of sources and number of destinations need not be equal. The problem is unbalanced if the cost matrix is not a square matrix.Hence, the cost matrix is not necessarily a square matrix. The problem is unbalanced if the total supply and total demand are not equal. Since assignment is done one basis, the number of sources and the number of destinations are equal. Although any of the three products can be processed in any of the assembly departments, the and assembly costs are different because of the varying distances between departments and because of different equipment. Capacity (units) How many units of each product should be moved from each fabrication department to each assembly department to minimize total monthly costs? The three products are moved to four assembly departments where they are assembled. Capacity (units) 1 2 3 4 0.70 0.50 0.50 0.60 0.50 0.70 0.80 1.20 Cengage Learning Testing, Powered Cognero Page 13 Chapter 19 Solution Procedures for Transportation and Assignment Problems Dept. Optimal assignments are made in the Hungarian method to cells in the reduced matrix that contain a 0. Using the Hungarian method, the optimal solution to an assignment problem is found when the minimum number of lines required to cover the zero cells in the reduced matrix equals the number of agents. Chapter 19 Solution Procedures for Transportation and Assignment Problems True False 1. The transportation simplex method can be used to solve the assignment problem. To handle unacceptable routes in a transportation problem where cost is to be minimized, infeasible arcs must be assigned negative cost values. A solution to a transportation problem that has less than m n 1 cells with positive allocations in the transportation tableau is a.

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