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Analysis of priority multi-server retrial queueing inventory systems with MAP arrivals and exponential services

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Listed:
  • Fong-Fan Wang

    (Hsiuping University of Science and Technology)

  • Amita Bhagat

    (NCU University)

  • Tsan-Ming Chang

    (Hsiuping University of Science and Technology)

Abstract

In this paper we analyze priority multi-server retrial inventory queues with Markovian arrival process generated by a single or dual sources and exponential service times where both queueing and orbit spaces are assumed finite. We derive Markov models assuming homogenous service rates for two customer classes with different service priorities. The generalized stochastic Petri net (GSPN) models for non-identical service rates scenario has been employed. We show the equivalence between the two methods when service rates are identical. The GSPN models are then used to investigate the impact of parameter change, including service heterogeneity on some performance measures of interest. Finally we solve a state-dependent service rate optimization problem to demonstrate the applicability of the proposed GSPN models.

Suggested Citation

  • Fong-Fan Wang & Amita Bhagat & Tsan-Ming Chang, 2017. "Analysis of priority multi-server retrial queueing inventory systems with MAP arrivals and exponential services," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 44-66, March.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:1:d:10.1007_s12597-016-0270-9
    DOI: 10.1007/s12597-016-0270-9
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    References listed on IDEAS

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    1. Zhao, Ning & Lian, Zhaotong, 2011. "A queueing-inventory system with two classes of customers," International Journal of Production Economics, Elsevier, vol. 129(1), pages 225-231, January.
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    Cited by:

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