Title: Production–remanufacturing control problem for defective item under possibility constrains

Authors: U.K. Bera, K. Maity, M. Maiti

Addresses: Department of Mathematics, Bengal Institute of Technology and Management, Santiniketan, Birbhum, West Bengal 731236, India. ' Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Bhupatinagar, Purba Midnapore 721425, West Bengal, India. ' Department of Mathematics, Vidyasagar University, Midnapore 721102, West Bengal, India

Abstract: This paper presents a new type of an optimal control production-recovery inventory system under inflation and discounting in fuzzy-stochastic environment. The product defectiveness is a random variable. The return products are the used products collected from the open market. The defective product is treated as return product. Return and defective products are either remanufactured or disposed of. Remanufactured product is used as a new product which can be sold to the customer. The demand depends upon the stock of serviceable product, time and selling price. In this paper, we propose an optimal control approach to optimise the production, remanufacturing and disposal strategy with respect to dynamic demand and return. The upper bounds of production, remanufacturing and disposal are fuzzy parameters. The optimum results are presented in both tabular and graphical forms.

Keywords: disposal strategy; fuzzy parameters; inflation; optimal control; possibility; production recovery system; production control; remanufacturing; inventory systems; discounting; defective products.

DOI: 10.1504/IJOR.2008.019166

International Journal of Operational Research, 2008 Vol.3 No.5, pp.515 - 532

Published online: 01 Jul 2008 *

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