Implied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem

Article ID

U515P

Implied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem

Md. Ashraful Babu
Md. Ashraful Babu
Md. Abu Helal
Md. Abu Helal
Mohammad Sazzad Hasan
Mohammad Sazzad Hasan
Utpal Kanti Das
Utpal Kanti Das
DOI

Abstract

Transportation Algorithm uses for solving Transportation Problem to find feasible solution which may optimal or not. This is now a challenge that developed such an algorithm which gives optimal solution without using Optimality Methods like as MODI, Stepping-Stone. For this reason there are several transportation algorithm exists for solving TP like as North West Corner Rule (NWC), Least Cost Method (LCM), Vogel’s Approximation Method (VAM) etc. where VAM provides the feasible solution which is lower than NWC and LCM and for some case of TP it coincides with optimal solution. In this paper we proposed a new approach named “Implied Cost Method (ICM)” where feasible solutions are lower than VAM and very close to optimal solution or sometimes coincides with optimal solution.

Implied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem

Transportation Algorithm uses for solving Transportation Problem to find feasible solution which may optimal or not. This is now a challenge that developed such an algorithm which gives optimal solution without using Optimality Methods like as MODI, Stepping-Stone. For this reason there are several transportation algorithm exists for solving TP like as North West Corner Rule (NWC), Least Cost Method (LCM), Vogel’s Approximation Method (VAM) etc. where VAM provides the feasible solution which is lower than NWC and LCM and for some case of TP it coincides with optimal solution. In this paper we proposed a new approach named “Implied Cost Method (ICM)” where feasible solutions are lower than VAM and very close to optimal solution or sometimes coincides with optimal solution.

Md. Ashraful Babu
Md. Ashraful Babu
Md. Abu Helal
Md. Abu Helal
Mohammad Sazzad Hasan
Mohammad Sazzad Hasan
Utpal Kanti Das
Utpal Kanti Das

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Dr. M. A. Helal. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F1): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Implied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem

Md. Ashraful Babu
Md. Ashraful Babu
Md. Abu Helal
Md. Abu Helal
Mohammad Sazzad Hasan
Mohammad Sazzad Hasan
Utpal Kanti Das
Utpal Kanti Das

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