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Modeling and Analysis of Stochastic Perishable Inventory System with Impatient Customers at Service Facility

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  • Md. Amirul Islam
  • Mohammad Ekramol Islam
  • Abdur Rashid
  • Zhihong Yao

Abstract

In this paper, we consider a two-commodity stochastic s,S perishable inventory system of the multiqueue Jackson network at a service facility with reneging and jockeying of the customers. The waiting room capacity of the first queue is M/M/1/∞ and the second queue is M/M/1/C2, where C2 0;i=1,2 units is placed to bring the inventory level up to Si. The joint probability distribution of the number of customers in the system and also the stock level of the warehouse is determined in the equilibrium case. Several important measures of steady-state system performance are derived. Several examples are presented to demonstrate the reneging and jockeying behavior of the customers for this system. A sensitivity analysis is performed to investigate the effect of changing the parameters on the total expected cost of the system.

Suggested Citation

  • Md. Amirul Islam & Mohammad Ekramol Islam & Abdur Rashid & Zhihong Yao, 2023. "Modeling and Analysis of Stochastic Perishable Inventory System with Impatient Customers at Service Facility," Mathematical Problems in Engineering, Hindawi, vol. 2023, pages 1-19, May.
    • Handle: RePEc:hin:jnlmpe:1647844
    DOI: 10.1155/2023/1647844
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