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

1
Dr. M. A. Helal
Dr. M. A. Helal
2
Md. Ashraful Babu
Md. Ashraful Babu
3
Md. Abu Helal
Md. Abu Helal
4
Mohammad Sazzad Hasan
Mohammad Sazzad Hasan
5
Utpal Kanti Das
Utpal Kanti Das
1 University of Chittagong, Chittagong, Bangladesh.

Send Message

To: Author

GJSFR Volume 14 Issue F1

Article Fingerprint

ReserarchID

U515P

Implied Cost Method (ICM): An Alternative Approach to Find the Feasible Solution of Transportation Problem Banner
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

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.

12 Cites in Articles

References

  1. Hamdy Taha (2006). Operation Research: An Introduction, Eighth Edition.
  2. P Murthy,Rama (2008). Operation Research.
  3. Hamdy Taha TORA Optimizing System Software.
  4. F Hillier,G Lieberman (1995). Introduction to Operations Research.
  5. Richard Bronson (1997). Theory and Problems of Operation Research.
  6. Syed Shah,Nasir Mehmood,Ahmad Mahmood,Alan Kamil Bin,Oxley Modified Least Cost Method for Grid Resource Allocation.
  7. A Ajibade,S Babarinde (2013). On The Use of Transportation Techniques to Determine the Cost of Transporting Commodity.
  8. J Sudhakar,N Arunsankar (2012). A new approach for finding an Optimal Solution for Transportation Problem.
  9. A Samuel,Edward,M Venkatachalapathy (2011). Modified Vogel's Approximation Method for Fuzzy Transportation Problems.
  10. M Hakim (2012). Annals of Pure and Applied Mathematics.
  11. Md Islam,Amirul,Aminur Khan,Rahman,M Uddin,Sharif,M Malek,Abdul (2012). A New Method to Find Basic Feasible Solution of Transportation Problem.
  12. Aminur Khan,Rahman (2011). A Re-solution of the Transportation Problem: An Algorithmic Approach.

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.

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): .

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Classification
Not Found
Version of record

v1.2

Issue date

May 3, 2014

Language

English

Experiance in AR

The methods for personal identification and authentication are no exception.

Read in 3D

The methods for personal identification and authentication are no exception.

Article Matrices
Total Views: 4512
Total Downloads: 2276
2026 Trends
Research Identity (RIN)
Related Research

Published Article

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.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]
×

This Page is Under Development

We are currently updating this article page for a better experience.

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

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

Research Journals