A Solution Procedure for Minimum Convex-Cost Network Flow Problems

Dr. Dewan Ferdous Wahid; Farjana Habiba; Ganesh Chandra Ray

A Solution Procedure for Minimum Convex-Cost Network Flow Problems

Dr. Dewan Ferdous Wahid * §

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Farjana Habiba

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Ganesh Chandra Ray

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§ Stamford University Bangladesh

A Solution Procedure for Minimum Convex-Cost Network Flow Problems

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Abstract

This paper presents a procedure to solve Minimum Convex-Cost Network Flow Problems (MC-CNFP). This solution algorithm is constructed on the concepts of Network Simplex Method (NSM) for minimum cost network flow problem, Convex Simplex Method (CSM) of Zangwill, the decomposition of convex simplex method and non-linear transformation problem.

References

5 Cites in Article

Reference Format

1. Mokhtar Bazaraa,Hanif Sherali,C Shetty (2006). Nonlinear Programming. Nonlinear Programming
2. W Hisa (1975). Decomposition of the Convex Simplex Method. Journal of Optimization Theory and Application, 16(5/6), 399-407.
3. W Hsia (1973). Decomposition in Nonlinear Programming. Decomposition Techniques in Mathematical Programming, 187-242.
4. I Zangwill (1967). The Convex Simplex Method. Management Science, 14(3), 221-238.
5. (2012). A Solution Procedure for Minimum Convex-Cost Network Flow Problems. A Solution Procedure for Minimum Convex-Cost Network Flow Problems, 30

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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. Dewan Ferdous Wahid, Farjana Habiba, Ganesh Chandra Ray. 2012. "A Solution Procedure for Minimum Convex-Cost Network Flow Problems". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F10).

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GJSFR Volume 12 Issue F10

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Convex Convex Simplex Method directed network Karush-Kuhn-Tucker conditions Network Flow Network Simplex Method node-arc-incidence matrix

Classification

GJSFR-F Classification MSC 2010: 91B32

Submission ReceivedJune 18, 2012
Peer Review Double Blind
Handling Editor
Accepted July 16, 2012
Published July 29, 2012

Version of record

v1.2

Issue date

September 3, 2012

Language

English

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Article Matrices

Total Score: 152

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: Dr. Dewan Ferdous Wahid, Farjana Habiba, Ganesh Chandra Ray (PhD/Dr. count: 1)

View Count (all-time): 312

Total Views (Real + Logic): 1743

Total Downloads (simulated): 125

Publish Date: 2012 07, Sun

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Total Views: 1.7K

Total Downloads: 125

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