Analysis of inventory systems for non-perishable goods with changing production rates and random switching times.

Abstract

This paper investigates a stochastic inventory model for a single product operating under two distinct production rates, with demand assumed to follow a Poisson distribution. The items considered are non-perishable over the planning horizon. When the inventory reaches a specified threshold, the system transitions from an OFF state to an ON state, subject to a switching delay characterized by an exponential distribution with parameter τ. During this switching period, no demand is fulfilled, and all arriving demand is lost. The model incorporates backlogging, where the production rate under backlog conditions is higher than that of regular production. Time-dependent system characteristics are analyzed and presented to highlight the transient behavior of the inventory process.

Keywords

• Product inventory systems
• stochastic modeling
• Poisson demand distribution
• non-perishable items
• switching time analysis
• backlog policies
• level-dependent production
• exponential switching behavior

How to cite

Mohammad Ekramol Islam, Mohammad Ataullah (2025). Analysis of inventory systems for non-perishable goods with changing production rates and random switching times.. Sonargaon University Journal, 5(II), 73–80.

@article{islam20256,
  title   = {Analysis of inventory systems for non-perishable goods with changing production rates and random switching times.},
  author  = {Mohammad Ekramol Islam and Mohammad Ataullah},
  journal = {Sonargaon University Journal},
  volume  = {5},
  number  = {II},
  pages   = {73--80},
  year    = {2025},
  issn    = {2518-3125},
  url     = {https://su.edu.bd/journal/volume-5-issue-2/analysis-of-inventory-systems-for-non-perishable-goods-with-changing-production}
}