Title: Economic order quantity model for imperfect lot with partial backordering under the effect of learning and advertisement dependent imprecise demand

Authors: Suresh Kumar Goyal; S.R. Singh; Dharmendra Yadav

Addresses: Department of Decision Sciences and MIS, John Molson School of Business, Concordia University, 1455 De Maisonneve Blvd. West Montreal, H3G1M8, Quebec, Canada ' Department of Mathematics, D.N. (P.G) College, Meerut-250001 (U.P), India ' Department of Mathematics, Vardhaman (P.G.) College, MJP Rohilkhand University, (U.P.), India

Abstract: This paper investigates an economic order quantity model in which the demand of items is fuzzy in nature and depends on the frequency of advertisement. Learning effect on number of defective items present in each lot is considered and the possibility of lost sale and backorder are also analysed. Due to impreciseness in demand, profit function is fuzzy in nature. To determine the optimal values of decision variables, equivalent crisp profit function is obtained by applying signed distance method. Algebraic method has been used to obtain optimal order quantity and backorder level in place of differential calculus. A numerical example is used to study the behaviour of the proposed model with respect to different parameters.

Keywords: learning curve; advertisement; signed distance; triangular fuzzy number; lost sale; inventory model.

DOI: 10.1504/IJOR.2017.083956

International Journal of Operational Research, 2017 Vol.29 No.2, pp.197 - 218

Received: 03 Jul 2014
Accepted: 30 Aug 2014

Published online: 28 Apr 2017 *

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