Two existing methods for solving a class of fuzzy linear programming (FLP) problems involving symmetric trapezoidal fuzzy numbers without converting them to crisp linear programming problems are the fuzzy primal simplex method proposed by Ganesan and Veeramani [1] and the fuzzy dual simplex method proposed by Ebrahimnejad and Nasseri [2]. The former method is not applicable when a primal basic ...

In this Paper, a “Fuzzy Transportation Problem” is investigated using Triangular membership function. Fuzzy vogel’s approximation method is used to obtain initial basic feasible solution and optimum solution is obtained using fuzzy modified distribution method. The method is illustrated by an example.

The Orthogonal arrays are helpful in guiding the heuristic algorithms to obtain a good solution when applied to NP-hard problems. This chapter deals with a new variant of PSO named Orthogonal PSO (OPSO) for solving the multiprocessor scheduling problem. The objective of applying the orthogonal concept in the basic PSO algorithm is to enhance the performance when applied to the scheduling proble...

The transportation problem is a linear programming in which cost of reduced. We have developed the new method finding initial basic feasible solution by calculating coefficient variation row or column wise and result compared with VAM, LCM MODI method.

In this paper, the proposed technique is new and simple for obtaining an initial basic feasible solution (IBFS) of a transportation problem (TP). The objective paper to find how minimize cost (TC) by using approach. method illustrated with some numerical examples algorithm.

The basic transportation problem was originally developed by Hitchcock. In the literature several methods are proposed for solving Fuzzy transportation problem. In this paper, we propose a new algorithm called Fuzzy Russell’s method for the initial basic feasible solution to a Fuzzy transportation problem. To examine the proposed method a numerical example is solved. Fuzzy numbers may be normal...

    Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...