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Analysis of a batch arrival general bulk service queueing system with variant threshold policy for secondary jobs

Author

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  • M. Haridass
  • R. Arumuganathan

Abstract

In this paper, a bulk service queueing system with variant threshold policy for secondary jobs is considered. On completion of service, if the queue length is less than 'a', the server performs a secondary job of type one, repeatedly, until the queue length reaches 'a'. On returning from a secondary job of type one, if the queue length is at least 'a', the server performs another secondary job of type two, repeatedly, until the queue length reaches the threshold value 'N' (N ≥ b > a), then the server serves a batch of 'b' customers. Various performance measures and a cost model are presented.

Suggested Citation

  • M. Haridass & R. Arumuganathan, 2011. "Analysis of a batch arrival general bulk service queueing system with variant threshold policy for secondary jobs," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(1), pages 56-77.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:1:p:56-77
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    Citations

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    Cited by:

    1. G. Ayyappan & S. Karpagam, 2018. "An M [ X ] / G ( a , b )/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service," Mathematics, MDPI, vol. 6(6), pages 1-18, June.
    2. P. Rajasekhara Reddy & K. Srinivasa Rao & M. Venkateswaran, 2016. "Stochastic control of K-parallel and series queuing model and its applications," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(1), pages 178-197, December.
    3. Xiaohan Wu & Anyue Chen, 2023. "Further results of Markovian bulk-arrival and bulk-service queues with general-state-dependent control," Queueing Systems: Theory and Applications, Springer, vol. 104(1), pages 19-52, June.

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