Title: A production lot-size model with Fuzzy-Ramp type demand and fuzzy deterioration rate under permissible delay in payments

Authors: Antara Kundu, Tripti Chakrabarti

Addresses: Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, India. ' Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, India

Abstract: A production lot-size inventory model is developed with finite production rate, fuzzy deterioration and demand rate under permissible delay in payments. Here it is assumed that the initial demand rate of ramp-type demand and the deterioration rate are uncertain in fuzzy sense i.e., imprecise in nature. The initial demand rate and deterioration rate are taken as triangular fuzzy number. Using α-cut for defuzzification, the total variable cost per unit time is derived. The multi-objective model is solved using Global Criteria Method and is illustrated with a numerical example. Sensitivity analysis has been made for different values of α.

Keywords: fuzzy inventory models; multi-objective modelling; fuzzy total cost; fuzzy ramp type demand; fuzzy deterioration; lot sizing; finite production rate.

DOI: 10.1504/IJMOR.2011.042442

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.5, pp.524 - 540

Published online: 12 Feb 2015 *

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