A Study of Uncertainty and Probability in Transportation Problem

The transportation problem is a special class of problem. Cost is one of the affected factors in transportation. Determine the value of transportation cost, it is solved by using different methods like the North-West Corner Method, Least Cost Method,Row (Column) Minima Method, Vogel Approximation Method, etc. but these methods cannot say about the probability. Our aim is to analyze probability in various methods of transportation and each movement in transportation is taken as an event and understand the probability dimension in these methods. Uncertainty comes from a certainty situation. Because on the other side of certainty, there should be reflected uncertainty. In this paper, we also discuss the parameter of uncertainty in various methods of transportation problems using case study. The derived results in the paper is use to establish a concreate transportation system on basis of minimize the transportation cost and allocation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-01
DOI
https://doi.org/10.5281/zenodo.14803829
Primary Topic
Optimization and Mathematical Programming
Type
article
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article

A Study of Uncertainty and Probability in Transportation Problem

Zenodo (CERN European Organization for Nuclear Research)
Optimization and Mathematical Programming
article

A Study of Uncertainty and Probability in Transportation Problem

article en

Abstract

The transportation problem is a special class of problem. Cost is one of the affected factors in transportation. Determine the value of transportation cost, it is solved by using different methods like the North-West Corner Method, Least Cost Method,Row (Column) Minima Method, Vogel Approximation Method, etc. but these methods cannot say about the probability. Our aim is to analyze probability in various methods of transportation and each movement in transportation is taken as an event and understand the probability dimension in these methods. Uncertainty comes from a certainty situation. Because on the other side of certainty, there should be reflected uncertainty. In this paper, we also discuss the parameter of uncertainty in various methods of transportation problems using case study. The derived results in the paper is use to establish a concreate transportation system on basis of minimize the transportation cost and allocation.

Zenodo (CERN European Organization for Nuclear Research)
Bhavnagar University (IN)
Industry, innovation and infrastructure
Openalex Percentile: Top 55%
Optimization and Mathematical Programming
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A Study of Uncertainty and Probability in Transportation Problem · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS