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

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

Author Biographies

Sabeen Sahito, Department of Basic Sciences & Related Studies, MUET, Jamshoro, Sindh, Pakistan

MPhil Scholar in Applied Mathematics

Teaching Assistant

Department of Basic Sciences and Related Studies

Wajid Ali Shaikh, Department of Mathematics & Statistics, QUEST, Nawabshah, Pakistan

Department of Mathematics & Statistics

A. G. Shaikh, Department of Basic Sciences & Related Studies, QUEST, Nawabshah, Pakistan

Department of Basic Sciences and Related Studies

Asif Ali Shaikh, Department of Basic Sciences & Related Studies, MUET, Jamshoro, Sindh, Pakistan

Department of Basic Sciences and Related Studies

Syed Feroz Shah, Department of Basic Sciences & Related Studies, MUET, Jamshoro, Sindh, Pakistan

Department of Basic Sciences and Related Studies

Published
2021-12-27
How to Cite
Sahito, S., Shaikh, W., Shaikh, A. G., Shaikh, A., & Shah, S. (2021). Modification of Vogel’s Approximation Method for Optimality of Transportation Problem by Statistical Technique. Quaid-E-Awam University Research Journal of Engineering, Science & Technology, Nawabshah., 19(2), 42-48. https://doi.org/10.52584/QRJ.1902.07