Approximate analysis of a queueing–inventory system with early and delayed server vacations

Agassi Z. Melikov · A. M. Rustamov

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Advanced Queuing Theory Analysis Supply Chain and Inventory Management Age of Information Optimization

Abstract

We propose a model for a servicing system with perishable inventory and a finite queue of impatient claims where the server can be in one of three states: operational, early and delaying vacations. We develop a method for approximate computation of the system’s characteristics. We show results of numerical experiments.

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References

1982Perishable Inventory Theory: A Review 1986Queueing systems with vacations ? A survey 2006Vacation Queueing Models Theory and Applications 2011Perishable Inventory Systems 1995Spectral expansion solution for a class of Markov models: application and comparison with the matrix-geometric method 2010Recent Developments in Vacation Queueing Models : A Short Survey 2011A survey on inventory models with positive service time 1998Spectral expansion solution for some finite capacity queues

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2019Queueing System M/M/1/∞ with Perishable Inventory and Repeated Customers

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