Title: EPQ model with fuzzy coefficient of objective and constraint via parametric geometric programming

Authors: G.S. Mahapatra; T.K. Mandal; G.P. Samanta

Addresses: Department of Mathematics, Siliguri Institute of Technology, P.O. Sukna, Siliguri-734009, West Bengal, India ' Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India. ' Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India

Abstract: In this paper, an economic production quantity model with demand and reliability dependent unit production cost, with the reliability and setup cost and dependent depreciation cost has been developed. The limited deprecation cost of the economic production quantity model is taken as constraint function. The coefficient parameters of the production model are imprecise in nature. The problem is solved based on fuzzy parametric geometric programming technique. A numerical example is given to illustrate the model using proposed procedure.

Keywords: economic production quantity; EPQ; inventory modelling; reliability; fuzzy sets; interval valued function; parametric geometric programming; fuzzy logic.

DOI: 10.1504/IJOR.2013.054972

International Journal of Operational Research, 2013 Vol.17 No.4, pp.436 - 448

Received: 07 Mar 2012
Accepted: 18 Jun 2012
Published online: 29 Jul 2014 *

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