Title: A backorder inventory model considering price-sensitive and stock-dependent demand

Authors: Dharma Lesmono; Taufik Limansyah; Ignatius A. Sandy

Addresses: Center for Mathematics and Society, Department of Mathematics, Parahyangan Catholic University, Bandung, Indonesia ' Center for Mathematics and Society, Department of Mathematics, Parahyangan Catholic University, Bandung, Indonesia ' Department of Industrial Engineering, Parahyangan Catholic University, Bandung, Indonesia

Abstract: In the inventory management system, time and quantity are crucial factors to be considered in relation to inventory costs. Demand is another external factor that influences the availability of goods for customers. In fact, demand varies from time to time, being dependent on price, time, stock or other relevant factors. The dynamics of this condition can be described by developing a mathematical model. In this paper, we develop a backorder inventory model considering price-sensitive and stock-dependent demand. From the model, we determine the cycle length and the time when the inventory drops to zero as decision variables in order to minimise the total inventory cost. Based on the sensitivity analysis, we found that generally speaking, changes in certain parameter values will substantial affect the decision variables of the model. Having this information at their disposal, retailers can determine which specific parameters should be managed in order to minimise the total inventory cost.

Keywords: inventory; price-dependent demand; stock-dependent demand; backorder.

DOI: 10.1504/IJMOR.2024.138053

International Journal of Mathematics in Operational Research, 2024 Vol.27 No.3, pp.291 - 304

Received: 01 Dec 2022
Accepted: 07 Jan 2023
Published online: 18 Apr 2024 *

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