Mathematics and Statistics Vol. 10(4), pp. 741 - 746
DOI: 10.13189/ms.2022.100404
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Analysis of IBFS for Transportation Problem by Using Various Methods

S. K. Sharma , Keshav Goel ^*
Department of Mathematics, Chandigarh University, Gharuan, Mohali, 140413, Punjab, India

ABSTRACT

The supply, demand and transportation cost in transportation problem cannot be obtained by all existing methods directly. In the existing literature, various methods have been proposed for calculating transportation cost. In this paper, we are comparing various methods for measuring the optimal cost. The objective of this paper is obtaining IBFS of real-life problems by various methods. In this paper, we include various methods such as AMM (Arithmetic Mean Method), ASM (Assigning Shortest Minimax Method) etc. The Initial Basic Feasible solution is one of the most important parts for analyzing the optimal cost of transportation Problem. For many applications of transportation problem such as image registration and wrapping, reflector design seismic tomography and reflection seismology etc, we analyze the transportation cost. TP is used to find the best solution in such a way in which product produced at several sources (origins) are supply to the various destinations. To fulfil all requirement of destination at lowest cost possible is the main objective of a transportation problem. All transport companies are looking forward to adopting a new approach for minimizing the cost. Along these lines, it is essential just as an adequate condition for the transportation problem to have an attainable arrangement. A numerical example is solved by different approaches for obtaining IBFS.

KEYWORDS
TP, LPP, IBFS, LCM, Optimization Problem

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. K. Sharma , Keshav Goel , "Analysis of IBFS for Transportation Problem by Using Various Methods," Mathematics and Statistics, Vol. 10, No. 4, pp. 741 - 746, 2022. DOI: 10.13189/ms.2022.100404.

(b). APA Format:
S. K. Sharma , Keshav Goel (2022). Analysis of IBFS for Transportation Problem by Using Various Methods. Mathematics and Statistics, 10(4), 741 - 746. DOI: 10.13189/ms.2022.100404.