A Solution Procedure for Minimum Convex-Cost Network Flow Problems

α
Dr. Dewan Ferdous Wahid
Dr. Dewan Ferdous Wahid
σ
Farjana Habiba
Farjana Habiba
ρ
Ganesh Chandra Ray
Ganesh Chandra Ray
α Stamford University Bangladesh

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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
  1. Mokhtar Bazaraa,Hanif Sherali,C Shetty (2006). Nonlinear Programming.
  2. W Hisa (1975). Decomposition of the Convex Simplex Method.
  3. W Hsia (1973). Decomposition in Nonlinear Programming.
  4. I Zangwill (1967). The Convex Simplex Method.
  5. (2012). A Solution Procedure for Minimum Convex-Cost Network Flow Problems.

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. 2012. \u201cA Solution Procedure for Minimum Convex-Cost Network Flow Problems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F10): .

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Issue Cover
GJSFR Volume 12 Issue F10
Pg. 23- 30
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

September 3, 2012

Language
en
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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.

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A Solution Procedure for Minimum Convex-Cost Network Flow Problems

Dr. Dewan Ferdous Wahid
Dr. Dewan Ferdous Wahid Stamford University Bangladesh
Farjana Habiba
Farjana Habiba
Ganesh Chandra Ray
Ganesh Chandra Ray

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