A UNIFIED INTERACTIVE APPROACH FOR SOLVING MULTIPLE CRITERION NONLINEAR INTEGER PROGRAMMING PROBLEM

Document Type : Original Article

Authors

1 profecssor of Mathematics and Vicc - Dcan for higher Studies Faculty of Science, Zagazig University.

2 Professor Of Mathcrnatics, Dcpartmcnt of Enginccring Basic Science, ~ac& of Enginccring, Mcnufia Univcrsity.

3 teaching Assistant, Department of Basic Engineering Science, Higher Technologjcal lnstitutc, Tenth of Ramadan City.

Abstract

This paper introduces a uniiied interactive approach for solving multiple
criterion nonlinear integer programming problems. The proposed algorithm
collects the characleristics of four interactive approaches. These approaches are
stem, trade off cutling plane, (GDF) procedure, and Tchebycheff procedure.This
papcr presents a combined interactive approach between stem and trade off cutting
plane methods, a combined interactive approach between GDF and Tchebycheff
p~occdurc will also bc introduced Finally, the paper also presents a proposed
algoliihn~ for a unilicd approach to solvc ilic multiple - criterion nonlinear integer
programming (MCNLIP) problems which combines the characteristics of both the
combined approaches

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