Title: On a volume flexible inventory model for items with an imperfect production system

Authors: Shib Sankar Sana, Suresh Kumar Goyal, Kripasindhu Chaudhuri

Addresses: Department of Mathematics, Bhangar Mahavidyalaya, University of Cultutta, P.S.-Bhangar 743502, India. ' Department of Decision Sciences and MIS, John Molson School of Business, Concordia University, 1455 De Maisonneuve Blvd. West, Montreal Quebec H3G 1M8, Canada. ' Department of Mathematics, Jadavpur University, Calcutta 700032, West Bengal, India

Abstract: A mathematical model is developed for volume flexible production system taking into account the effect of imperfect quality products. At the start of the production of a lot, the whole system is adjusted so that the process is |in-control| state and items produced are of acceptable quality. During high rate of production, the process shifts from the |in-control| state to the |out-of-control |state. In the |out-of-control| state, the quality of products deteriorates resulting in defective items. The demand rate of some defective items which are suitable for sale at reduced price is considered as a function of reduction rate of selling price. The proposed model is graphically illustrated with numerical examples and optimised by Mathematica Software. Sensitivity analysis is undertaken and various issues regarding the sale of imperfect quality products are discussed.

Keywords: flexible manufacturing systems; volume FMS; inventory modelling; imperfect quality products; reduction rate; operational research; sensitivity analysis.

DOI: 10.1504/IJOR.2007.011444

International Journal of Operational Research, 2007 Vol.2 No.1, pp.64 - 80

Available online: 30 Nov 2006 *

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