Abstract
This paper addresses the Optimality of Transportation Problems (TP). The modification in Vogel’s Approximation Method for optimality of transportation problem by statistical technique (MVOTPST) is proposed, which provides the better feasible solution in comparison to the existing methods such as North West Corner Method (NWCM), Least Cost Method (LCM) and Vogel’s Approximation Method (VAM). Various examples have been examined from the literature to validate the authenticity and optimality of the proposed MVOTPST method. Furthermore, the Initial Basic Feasible Solution (IBFS) of the modified technique has been found either absolutely optimal, close to optimal, same as VAM, or better than the existing methods.
Highlights
Operations research (OR)is an investigative and rational approach in the field of Mathematics for directing, governing, problem-solving and decisionmaking that is useful in addressing the problems in the management of organizations, businesses, government and society
It is a set of intensively applicable dataorganizing and decision-making strategies that are highly useful in all kinds of Business, Trade, Managerial Organizations and Transport
The proposed method involves the calculation of variance between two selected cells for the rows and columns respectively as penalty
Summary
Operations research (OR)is an investigative and rational approach in the field of Mathematics for directing, governing, problem-solving and decisionmaking that is useful in addressing the problems in the management of organizations, businesses, government and society. It is a set of intensively applicable dataorganizing and decision-making strategies that are highly useful in all kinds of Business, Trade, Managerial Organizations and Transport. It is a field of operations regarding assessing abstract thinking and the best choice of decisions to solve Linear and non-linear programming problems.
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