An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem

O. E. Emam; E. Fathy; A. A. Abohany

Research Article

An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem

by O. E. Emam, E. Fathy, A. A. Abohany

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 155 - Issue 12

Published: Dec 2016

Authors: O. E. Emam, E. Fathy, A. A. Abohany

10.5120/ijca2016912494

PDF

O. E. Emam, E. Fathy, A. A. Abohany . An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem. International Journal of Computer Applications. 155, 12 (Dec 2016), 1-12. DOI=10.5120/ijca2016912494

                        @article{ 10.5120/ijca2016912494,
                        author  = { O. E. Emam,E. Fathy,A. A. Abohany },
                        title   = { An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem },
                        journal = { International Journal of Computer Applications },
                        year    = { 2016 },
                        volume  = { 155 },
                        number  = { 12 },
                        pages   = { 1-12 },
                        doi     = { 10.5120/ijca2016912494 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2016
                        %A O. E. Emam
                        %A E. Fathy
                        %A A. A. Abohany
                        %T An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem%T 
                        %J International Journal of Computer Applications
                        %V 155
                        %N 12
                        %P 1-12
                        %R 10.5120/ijca2016912494
                        %I Foundation of Computer Science (FCS), NY, USA

Abstract

The motivation behind this paper is to focus on the solution of Fully Rough Three Level Large Scale Integer Linear Programming (FRTLLSILP) problem, in which all decision parameters and decision variables in the objective functions and the constraints are rough intervals, and have block angular structure of the constraints. The optimal values of decision rough variables are rough integer intervals. The proposed model is based on interval method and slice-sum method in an interactive model to find a compromised solution for the problem under consideration. Furthermore, the concepts of satisfactoriness are advanced as the upper level decision-makers' preferences until the preferred solution is obtained.

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Index Terms

Computer Science

Information Sciences

No index terms available.

Keywords

Large Scale Problems Interval Method Slice-Sum Method Three–level Programming Decomposition Algorithm