Title: An EPQ (economic production lot size) model for product life cycle (maturity stage) of deteriorating items with increasing demand rate and shortages

Authors: Nirmal Kumar Duari; Tripti Chakraborti

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

Abstract: A product life cycle is the life span of a product which the period begins with initial product specification and ends with the withdrawal from the market of both the product and its support. A product life cycle can be divided into several stages characterised by the revenue generated by the product. The purpose of this paper is to investigate the optimal production lot size and total cost during the product life cycle which consists of introduction, growth, maturity and decline stages. The defective rate is considered as a variable of known proportions. The relevant model is built and it is also solved. Necessary and sufficient conditions for a unique and optimal solution are derived. A numerical example is provided using LINGO software.

Keywords: inventory management; production cycle time; shortages; defective items; EPQ; economic production quantity; lot sizing; inventory modelling; product life cycle; product maturity stage; deteriorating items; demand rate; LINGO.

DOI: 10.1504/IJMOR.2016.075522

International Journal of Mathematics in Operational Research, 2016 Vol.8 No.3, pp.373 - 392

Received: 24 Apr 2014
Accepted: 30 Aug 2014
Published online: 28 Mar 2016 *

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