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A stochastic inventory system with two modes of service and retrial of customers

Author

Listed:
  • K. R. Rejitha

    (Adi Shankara Institute of Engineering & Technology)

  • K. P. Jose

    (St. Peter’s College)

Abstract

This paper analyses an inventory model with positive service time and retrial of customers. The customers arrive according to a Markovian Arrival Process with representation ( $$D_{0} ,D_{1}$$ D 0 , D 1 ). The service times are assumed to be of Phase type distribution with representation $$\left( {\eta ,U} \right)$$ η , U . When the inventory level depletes to the reorder point s, the service is given at a reduced rate and the service time distribution has the representation $$\left( {\eta ,\alpha U} \right)$$ η , α U , where $$0

Suggested Citation

  • K. R. Rejitha & K. P. Jose, 2018. "A stochastic inventory system with two modes of service and retrial of customers," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 134-149, March.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:1:d:10.1007_s12597-017-0322-9
    DOI: 10.1007/s12597-017-0322-9
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    References listed on IDEAS

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    1. Marcel F. Neuts & David M. Lucantoni, 1979. "A Markovian Queue with N Servers Subject to Breakdowns and Repairs," Management Science, INFORMS, vol. 25(9), pages 849-861, September.
    2. Che Kim & Vilena Mushko & Alexander Dudin, 2012. "Computation of the steady state distribution for multi-server retrial queues with phase type service process," Annals of Operations Research, Springer, vol. 201(1), pages 307-323, December.
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