initial basic feasible solution in operation research


What is initial basic feasible solution?

    Initially Initial Basic Feasible Solution (IBFS) is obtained then the result is used to calculate the optimal solution. The popular methods to find IBFS of transportation problem are North West Corner Method (NWCM), Least Cost Method (LCM), and Vogel’s Approximation Method (VAM).

How to obtain an initial basic feasible solution of a transportation problem?

    There are several methods available to obtain an initial basic feasible solution of a transportation problem. We discuss here only the following three. For finding the initial basic feasible solution total supply must be equal to total demand. It is a simple method to obtain an initial basic feasible solution.

When is the current feasible solution to a problem optimal?

    In Problem P for a given set of non-basic variables J, if z jc j0 for all j2J, then the current basic feasible solution is optimal. Further, if z

What is the resulting basic feasible solution to the constraints?

    having most negative value. Then the resulting solution is a basic feasible solution to the constraints: (6.29) I mx B+ B 1N+ y ax a= b x;x a0 Exercise 55. Prove Lemma6.14. The resulting basic feasible solution can either be used as a starting solution for the two-phase simplex algorithm with the single artifcial variable or the Big-M method.
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