Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S549 - S570|
|Published online||02 March 2021|
A production inventory model for deteriorating items with backlog-dependent demand
Department of Mathematics, Indian Institute of Technology Kharagpur, 721302 Kharagpur, India
* Corresponding author: firstname.lastname@example.org
Accepted: 14 August 2019
This paper investigates a production inventory model under classical EPQ framework with the assumption that the customer demand during the stock-out period is affected by the accumulated back-orders. The backlog rate is not fixed; instead, the demand during stock-out is assumed to decrease proportionally to the existing backlog which is thereby approximated by a piecewise constant function. Deteriorating items are taken into consideration in this work. For better illustration of the theoretical results and to highlight managerial insights, numerical examples are presented which are then compared to the results obtained by considering an exact (non-approximated) backlogging rate (from literature). The comparisons indicate high quality results for the approximated model.
Mathematics Subject Classification: 90B05
Key words: EPQ / deterioration / shortages / backlogging / approximation
© EDP Sciences, ROADEF, SMAI 2021
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