Modification of Vogel’s Approximation Method for Optimality of Transportation Problem by Statistical Technique

Authors

  • Sabeen Sahito Department of Basic Sciences \& Related Studies, MUET, Jamshoro, Sindh, Pakistan Author
  • Wajid A. Shaikh Department of Mathematics & Statistics, QUEST, Nawabshah, Pakistan Author
  • A. G. Shaikh Department of Basic Sciences \& Related Studies, QUEST, Nawabshah, Pakistan Author
  • Asif Ali Shaikh Department of Basic Sciences & Related Studies, MUET, Jamshoro, Sindh, Pakistan Author
  • Syed Feroz Shah Department of Basic Sciences \& Related Studies, MUET, Jamshoro, Sindh, Pakistan Author

DOI:

https://doi.org/10.52584/QRJ.1902.07

Keywords:

Optimal Solution; Transportation Problems; Modified Vogel’s Approximation Method; Statistical Technique; Initial Basic Feasible Solution

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.

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Published

2021-12-27