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A Stochastic Inventory Model with Two Queues and a Flexible Server

  • K. JeganathanEmail author
  • A. Z. Melikov
  • S. Padmasekaran
  • S. Jehoashan Kingsly
  • K. Prasanna Lakshmi
Original Paper
  • 14 Downloads

Abstract

This paper focusses on a perishable inventory model with two stations, namely, station 1 and station 2 with two dedicated servers and one flexible server, where service rates are different with respect to stations and servers. By using matrix analysis method, the joint stationary distribution of the number of customers in station 1 and station 2, the status of the servers and the inventory level under steady state are investigated. Some significant measures of the system performance are obtained. Finally, some intrinsic numerical examples are given.

Keywords

Continuous review \((s, Q)\) policy Perishable commodity Heterogeneous servers Flexible server Additional service Balking and multiple vacations 

Notes

Acknowledgements

The authors would like to express their thankfulness to the anonymous referees for precious remarks, which very much help the authors to improved the excellence of this paper.

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Copyright information

© Springer Nature India Private Limited 2019

Authors and Affiliations

  • K. Jeganathan
    • 1
    Email author
  • A. Z. Melikov
    • 2
  • S. Padmasekaran
    • 3
  • S. Jehoashan Kingsly
    • 4
  • K. Prasanna Lakshmi
    • 5
  1. 1.Ramanujan Institute for Advanced Study in MathematicsUniversity of MadrasChennaiIndia
  2. 2.Institute of Control SystemsNational Academy of SciencesBakuAzerbaijan
  3. 3.Department of MathematicsPeriyar UniversitySalemIndia
  4. 4.Department of MathematicsAdhiyamaan College of EngineeringHosurIndia
  5. 5.Department of Mathematics with Computer ApplicationsEthiraj College for WomenChennaiIndia

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