Title: A production inventory model for non-instantaneous deteriorating items with two-phase production period, stock-dependent demand and shortages

Authors: Mustapha Lawal Malumfashi; Majid Khan Majahar Ali

Addresses: School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia; Department of Mathematics and Statistics, Umaru Musa Yar'adua University, Katsina, Nigeria ' School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia

Abstract: In this paper, a production inventory model for non-instantaneous deteriorating items with two-phase production periods are developed. The production rates of the two different production periods differ while the demand within such periods are the same and constant. Also, the demand within the demanding period before deterioration starts is assumed to be stock-dependent while that of within deterioration and shortage periods are constant. Shortages are allowed and completely backlogged. A theorem and lemmas were framed to characterise the optimality of the model developed and a numerical experiment is conducted to show the applicability of the model. Finally, sensitivity analysis is carried out to demonstrate the effects of change of some system parameters on the optimal solutions obtained during the numerical experiment and some suggestions and recommendations are presented based on the results obtained.

Keywords: economic production quantity; EPQ; cycle length; stock-dependent demand; holding cost; delayed deterioration; shortages; backlogged.

DOI: 10.1504/IJMOR.2023.129432

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.2, pp.173 - 193

Received: 21 Sep 2021
Accepted: 24 Nov 2021
Published online: 09 Mar 2023 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article