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

α
Dr. M. A. Helal
Dr. M. A. Helal
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Md. Ashraful Babu
Md. Ashraful Babu
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Md. Abu Helal
Md. Abu Helal
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Mohammad Sazzad Hasan
Mohammad Sazzad Hasan
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Utpal Kanti Das
Utpal Kanti Das
α University of Chittagong University of Chittagong

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

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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.

References

12 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. M. A. Helal. 2014. \u201cImplied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F1): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

May 3, 2014

Language
en
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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.

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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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