*2 Transportation Problem 2 The Transportation Problem (TP) is a special class of Linear Programming Problem (LPP) which deals with the situation in which a single homogeneous product is transported from several sources to numerous destinations.*

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?

Determine which jobs should be assigned to which work center to minimize total processing cost. Work Center Job A B C E ANSWER: 1 25 65 55 Job A 2 40 60 65 Work Center 2 Cengage Learning Testing, Powered Cognero 3 35 55 75 4 20 65 85 Cost 45 Page 11 Chapter 19 Solution Procedures for Transportation and Assignment Problems and shipping costs are shown below: Warehouse Factory A Factory B Factory C Factory D Monthly Warehouse Min.

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.

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.

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.

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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