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Requiremen t (units) 1 12 19 7 2 10 16 6 3 7 15 4 4 9 21 9 Monthly Factory Capacity (units) How many products should the company ship from each factory to each warehouse to minimize monthly shipping costs?
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.
Chapter 19 Solution Procedures for Transportation and Assignment Problems True False 1.
The transportation simplex method can be used to solve the assignment problem.
the net evaluation index for each unoccupied cell is 0. Identifying the outgoing arc in Phase II of the transportation simplex method is performed using the a.
The optimal solution is found in an assignment matrix when the minimum number of straight lines needed to cover all the zeros equals Cengage Learning Testing, Powered Cognero Page 2 Chapter 19 Solution Procedures for Transportation and Assignment Problems d. Fals e ANSWER: Tru e Cengage Learning Testing, Powered Cognero Page 1 Chapter 19 Solution Procedures for Transportation and Assignment Problems 8. The net evaluation index for occupied cells in the transportation simplex method is 0. In the case of transportation problems, the algorithm is essentially a disguised form of the dual simplex algorithm of 4§2.Assignment problems, which are special cases of transportation problems, pose difficulties for the transportation algorithm and require the development of an algorithm which takes advantage of the simpler nature of these problems. If a transportation problem has four origins and five destinations, one of the destinations will not be fully supplied. When an assignment problem involves an unacceptable assignment, a dummy agent or task must be introduced. 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. All projects must be assigned and no team can be assigned to more than one project. Total cost : Origin Atlanta Chicago 35 75 Dallas 40 50 El Paso 30 100 Demand Destination Denver New York 60 45 125 75 35 25 100 Supply 200 95 25 25 San Jose 90 40 150 150 300 150 b. Only one accountant can be assigned to a customer, and all tax returns must be prepared. Use the Hungarian method to determine which team works with which project. Initial feasible solution found using the minimum cost method is below. Cengage Learning Testing, Powered Cognero Page 10 Chapter 19 Solution Procedures for Transportation and Assignment Problems Origin 1 .50 A 100 B 100 C 100 Destination 2 .90 1.00 .40 400 .90 b. Supply .50 100 .80 Demand 3 500 .70 .80 800 300 900 800 400 The solution cannot be improved. The estimated profits for all possible assignments are shown below.