Multi-objective geometric programming problem and its applications

Authors

  • Sahidul Islam Department of Mathematics, Guskara Mahavidyalaya, Guskara, Burdwan, India

DOI:

https://doi.org/10.2298/YJOR1002213I

Keywords:

Posynomial, geometric programming, MOGPP, max-min operator, gravel box problem

Abstract

In this paper, we have discussed constrained posynomial Multi-Objective Geometric Programming Problem. Here we shall describe the fuzzy optimization technique (through Geometric Programming technique) In order to solve the above multiobjective problem. The solution procedure of the fuzzy technique is illustrated by a numerical example and real life applications.

References

Bellman, R.E., and Zadeh, L.A., “Decision-making in a fuzzy environment”, Management Sciences, 17 (4) (1970) B141-B164.

Beightler, C.S., and Philips, D.T., Applied Geometric Programming, Wiley, New York, 1976.

Biswal, M.P., “Fuzzy programming technique to solve multi-objective geometric programming problems”, Fuzzy Sets and Systems, 51 (1992) 67-71.

Duffin, R.J., Peterson, E.L., and Zener, C.M., Geometric Programming Theory and Applications, Wiley, New York, 1967.

Ecker, J., “Geometric programming: methods, computations and applications”, SIAM Rev., 22 (3) (1980) 338-362.

Islam, S., and Roy, T.K., “Modified geometric programming problem and its applications”, Journal of Applied Mathematics and Computing, Korea, 17 (1-2) (2005) 121-144.

Tanaka, H., Okuda, T., and Asai, K., “On fuzzy mathematical programming”, Journal of Cybernetics, 3 (4) (1974) 37-46.

Tiwari, R.N., Dharman, S., and Rao, J.R., “Fuzzy goal programming – an additive model”, Fuzzy Sets and Systems, 24 (1987) 27-34.

Verma, R.K., “Fuzzy Geometric Programming with several objective functions”, Fuzzy Sets and Systems, 35 (1990) 115-120.

Zadeh, L.A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.

Zener, C., Engineering Design by Geometric Programming, Wiley, 1971.

Zimmermann, H.J., “Fuzzy linear programming with several objective functions”, Fuzzy Sets and Systems, 1 (1978) 46-55.

Downloads

Published

2010-09-01

Issue

Section

Research Articles