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An Improved Decomposition Technique for Solving Integer Linear Programming Problems

by M. A. I. Bhuiyan, M. S. Hossain
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 182 - Number 23
Year of Publication: 2018
Authors: M. A. I. Bhuiyan, M. S. Hossain
10.5120/ijca2018918023

M. A. I. Bhuiyan, M. S. Hossain . An Improved Decomposition Technique for Solving Integer Linear Programming Problems. International Journal of Computer Applications. 182, 23 ( Oct 2018), 17-21. DOI=10.5120/ijca2018918023

@article{ 10.5120/ijca2018918023,
author = { M. A. I. Bhuiyan, M. S. Hossain },
title = { An Improved Decomposition Technique for Solving Integer Linear Programming Problems },
journal = { International Journal of Computer Applications },
issue_date = { Oct 2018 },
volume = { 182 },
number = { 23 },
month = { Oct },
year = { 2018 },
issn = { 0975-8887 },
pages = { 17-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume182/number23/30073-2018918023/ },
doi = { 10.5120/ijca2018918023 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:12:14.733784+05:30
%A M. A. I. Bhuiyan
%A M. S. Hossain
%T An Improved Decomposition Technique for Solving Integer Linear Programming Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 182
%N 23
%P 17-21
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Decomposition technique is one of the most frequently used technique for solving Linear Programming Problems (LPPs) as well as Integer Linear Programming Problems (ILPPs). There are many existing techniques for solving ILPPs such as Branch and Bound method, Cutting Plane method etc. The purpose of this paper is to develop computer oriented decomposition technique for solving ILPPs using benders decomposition method. Applying decomposition technique anyone can solve ILPPs by dividing original problem into two easier problems, namely Master problem and Sub problem. This paper proposes a new technique for solving a ILLP manually and develops a computer code using a Mathematical Programming Language (AMPL). Also a comparison of manual output and programming output has been presented.

References
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Index Terms

Computer Science
Information Sciences

Keywords

LPP ILPP DWD Benders Decomposition AMPL Master- Problem Sub-Problem.

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