Title: Optimal order policy based on three-item inventory models with Weibull distribution deterioration and price-dependent demand

Authors: Claudia Priscilla; Dharma Lesmono; Jonathan Hoseana

Addresses: Center for Mathematics and Society, Faculty of Science, Parahyangan Catholic University, Bandung, 40141, Indonesia ' Center for Mathematics and Society, Faculty of Science, Parahyangan Catholic University, Bandung, 40141, Indonesia ' Center for Mathematics and Society, Faculty of Science, Parahyangan Catholic University, Bandung, 40141, Indonesia

Abstract: We construct three one-item inventory models with Weibull distribution deterioration, corresponding to three different dependences of the item's demand rate on its selling price: linear, quadratic, and exponential. We combine the three models to obtain five different three-item inventory models, corresponding to the existing five different order policies: the individual order policy, the three semi-joint order policies, and the joint order policy. We carry out a computational analysis of these models, which reveals that the joint order policy - that of ordering the three items simultaneously - gives the highest total profit, and that under this policy, the total profit depends most sensitively on the constant coefficient of the quadratic demand-rate function, i.e., the second item's demand rate in the case of zero selling price.

Keywords: inventory model; Weibull distribution; deterioration; price-dependent demand; order policy.

DOI: 10.1504/IJMOR.2026.155539

International Journal of Mathematics in Operational Research, 2026 Vol.34 No.3, pp.309 - 327

Received: 11 Aug 2024
Accepted: 26 Aug 2024
Published online: 05 Aug 2026 *

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