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Modified geometric programming problem and its applications

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Abstract

In this paper, we propose unconstrained and constrained posynomial Geometric Programming (GP) problem with negative or positive integral degree of difficulty. Conventional GP approach has been modified to solve some special typer of GP problems. In specific case, when the degree of difficulty is negative, the normality and the orthogonality conditions of the dual program give a system of linear equations. No general solution vector exists for this system of linear equations. But an approximate solution can be determined by the least square and also max-min method. Here, modified form of geometric programming method has been demonstrated and for that purpose necessary theorems have been derived. Finally, these are illustrated by numerical examples and applications.

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Authors and Affiliations

  1. Department of Mathematics, Bengal Engineering College (Deemed University), 711103, Howrah, West Bengal, India

    Sahidul Islam & Tapan Kumar Roy

Authors
  1. Sahidul Islam
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  2. Tapan Kumar Roy
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Correspondence to Tapan Kumar Roy.

Additional information

This research was supported by C.S.I.R. junior research fellowship in the Department of Mathematics, Bengal Engineering College (A Deemed University). This support is great fully acknowledged.

Sahidul Islam received his B. Sc. (Hons.) from Rampurhat College under University of Burdwan and M. Sc. at Jadavpur University. In 2003, he received a Junior Research Fellow from Council of Scientific and Industrial Research at Bengal Engineering College (Deemed University). His research interests focus on some optimization problem in information and Fuzzy systems and related OR models. Some papers are published and accepted in Proceedings of National Seminars.

T. K. Roy is a senior lecturer ini Mathematics at Bengal Engineering College (Deemed University). His areas of research are Fuzzy set theory, Applications of OR in information and Fuzzy Systems. He has published papers in various international and national journals includingEuropean Journal of Operational Research, Computer and Operation Research, Production Planning and Control, OPSEARCH. Some papers are also published and accepted in Proceedings of international and national Seminars.

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Islam, S., Roy, T.K. Modified geometric programming problem and its applications. JAMC 17, 121–144 (2005). https://doi.org/10.1007/BF02936045

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  • DOI: https://doi.org/10.1007/BF02936045

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