Title: An EPQ model with Weibull deterioration considering warm-up period and two backordering costs

Authors: Mohanraj Subramanian; Uthayakumar Ramasamy

Addresses: Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India ' Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India

Abstract: The main aim of an organisation is to fulfill customers demand by reducing the costs involved. In this paper we propose an economic production quantity model having four levels of production. The first and second levels of production include warm-up period and corrective maintenance period respectively. The third and fourth levels of production are regular production processes. The deterioration rate follows Weibull distribution with two parameters. Partial backordering is considered as linear and backordering cost as fixed. Total cost of production is depending upon production rate, demand rate, rate of deteriorative items and partial backordering. The primary objective is to find an optimal solution for production time which minimises the total cost by considering warm-up period and partial backordering. Finally, the numerical example and sensitivity analysis on parameters are given to validate the results of proposed model.

Keywords: economic production quantity; warm-up period; partial backordering; fixed backordering cost; linear backordering cost.

DOI: 10.1504/IJOR.2024.136589

International Journal of Operational Research, 2024 Vol.49 No.2, pp.171 - 186

Received: 10 Mar 2020
Accepted: 22 May 2021
Published online: 07 Feb 2024 *

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