Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NEW WAY FOR SOLVING TRANSPORTATION ISSUES BASED ON THE EXPONENTIAL DISTRIBUTION AND THE CONTRAHARMONIC MEAN

  • M. AMREEN (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology) ;
  • VENKATESWARLU B (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology)
  • Received : 2023.11.16
  • Accepted : 2024.01.05
  • Published : 2024.05.30
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Abstract

This study aims to determine the optimal solution to transportation problems. We proposed a novel approach for tackling the initial basic feasible solution. This is a critical step toward achieving an optimal or near-optimal solution. The transportation issue is an issue of distributing goods from several sources to several destinations. The literature demonstrates many ways to improve IBFS. In this work, to solve the IBFS, we suggested a new method based on the statistical formula called cumulative distribution function (CDF) in exponential distribution, and inverse contra-harmonic mean (ICHM). The spreadsheet converts transportation cost values into exponential cost cell values. The stepping-stone method is used to identify an optimum solution. The results are compared with other existing methodologies, the suggested method incorporates balanced, and unbalanced, maximizing the profits, random values, and case studies which produce more effective outcomes.

Keywords

Acknowledgement

This work was supported by the Vellore Institute of Technology, Vellore, Tamil Nadu, India, 632014.

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