Stepping stone method example pdf

use the Stepping Stone method to nd an optimal solution of a transportation problem formulate special linear programming problems using the assignment model solve assignment problems with the Hungarian method. Introduction In this unit we extend the theory . The Minimum Cell Cost Method. With the minimum cell cost method, the basic logic is to allocate to the cells with the low- est costs. The initial allocation is made to the cell in the tableau having the lowest cost. In the transportation tableau for our example problem, cell 3A has the minimum cost of $4. Stepping Stone Method Examples: Transportation Problem In the previous section, we used the Stepping Stone Method to find the optimal solution of a transportation problem. In this section, we provide another example to boost your understanding. Stepping Stone Method Examples: Transportation Problem In the previous section, we used the Stepping Stone Method to find the optimal solution of a transportation problem. In this section, we provide another example to boost your understanding. Steps in Stepping Stone Method: Transportation Problem. 4. Assign plus (+) and minus (-) signs alternatively on each corner cell of the closed path just traced, beginning with the plus sign at unoccupied cell to be evaluated. 5. Add the unit transportation costs associated with each of the cell traced in the closed path. This will give net change in terms of cost. Stepping Stone Method. The series of steps are involved in checking the optimality of the initial feasible solution using the stepping stone method: The prerequisite condition to solve for the optimality is to ensure that the number of occupied cells is exactly equal to m+n-1, where ‘m’ is the number of rows, while ‘n’ is equal to the number of columns. The Stepping Stone and the Modified Distribution Method (MODI) Stepping Stone: Procedure for finding optimal transportation tableau. Given the s = 3 supply and d = 3 demands tableau below, first create feasible tableau by using the Northwest, VAM, Minimum cell, or Russell method. The Minimum Cell Cost Method. With the minimum cell cost method, the basic logic is to allocate to the cells with the low- est costs. The initial allocation is made to the cell in the tableau having the lowest cost. In the transportation tableau for our example problem, cell 3A has the minimum cost of $4. use the Stepping Stone method to nd an optimal solution of a transportation problem formulate special linear programming problems using the assignment model solve assignment problems with the Hungarian method. Introduction In this unit we extend the theory .Stepping stone method can help us achieve this in a systematic approach. Step 2: For this unoccupied cell generate a stepping stone path by forming a. Using NWC method and the stepping-stone method with basis tree approach produces . For example the werehouse 4 ∑x constraint is: = D4 m where N is a . In example 2, the cost of £ in transporting one unit from supplier B to 3 use the improvement indices and the stepping stone algorithm to find an improved. Stepping Stone Method (Transportation Problem) - Free download as PDF File . pdf), Text File .txt) Example: At Cell C3, C3->B3->B4->C4 IC3 = ++ = For example, the cost of shipping one ton of wheat from the grain elevator . The two methods for solving a transportation model are the stepping-stone method. called the stepping-stone method; and the second, the u-v method. The Stepping -Stone Again, we will use the previous example to illustrate the method. The application of basis tree approach and NWC-Stepping Stone method is used to determine a minimum cost of purchase and delivery of. The illustrate example to be presented in this paper will be employed to explain the “stepping. Stone” method for solving these kind of problems. Transportation. The Stepping Stone and the Modified Distribution Method (MODI) Example. To evaluate the unallocated cell 3A, the loop is 3A → 3C → 2C → 2A with values. .

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