Abstract

A well-organized arithmetical procedure entitled standard deviation is employed to find the optimum solution in this paper. This technique has been divided into two parts. The first methodology deals with constructing the entire contingency cost table, and the second deals with optimum allocation. In this work, the method of magnitude is used for converting fuzzy numbers into crisp numbers as this method is better than the existing methods. This technique gives a better optimal solution than other methods. A numerical example for the new method is explained, and the authors compared their method with existing methods such as north west corner method, least cost method, and Vogel's approximation method.

Highlights

  • The study of perfect transportation and distribution of measures in mathematics and economics is named as transportation theory and the presumption was dignified by Gaspard Monge (1781)

  • The method of magnitude is used for converting fuzzy numbers into crisp numbers as this method is better than the existing methods

  • Considering that parameters of transportation problem have uncertainties, this paper develops a generalized fuzzy transportation problem with fuzzy supply, demand and cost

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Summary

Introduction

The study of perfect transportation and distribution of measures in mathematics and economics is named as transportation theory and the presumption was dignified by Gaspard Monge (1781). The notable collapse on the charge and the pricing of raw materials and goods is visibly due to Transportation cost. An most favorable allotment sketch for a single commodity is established by the transportation problem. By balancing the total supply and demand we can divide the transportation problem as balanced or unbalanced. Big M method and Interior Approach method can be used to unravel the transportation problem. Techniques like North West corner rule, row minima, column minima, matrix minima, or the vogel’s approximation method are applied to acquire the solution for transportation problems. Vogel’s method provides fairly accurate elucidation whereas MODI and Stepping Stone (SS) techniques are measured as a customary procedure for achieving the best possible elucidation

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