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Heterogeneous two-server queueing system with reverse balking and reneging

Author

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  • Amina Angelika Bouchentouf

    (Djillali Liabes University of Sidi Bel Abbes)

  • Aicha Messabihi

    (University Center of Ain Temouchent)

Abstract

This paper presents an analysis of heterogeneous two-server queueing system with feedback, reverse balking, reneging and retention of reneged customers. The steady-state solution of the model is obtained and different measures of effectiveness are derived. Economic analysis of the model is performed studying the impact of balking probability and retention probability on the total expected profit of the system.

Suggested Citation

  • Amina Angelika Bouchentouf & Aicha Messabihi, 2018. "Heterogeneous two-server queueing system with reverse balking and reneging," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 251-267, June.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:2:d:10.1007_s12597-017-0319-4
    DOI: 10.1007/s12597-017-0319-4
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    References listed on IDEAS

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    1. C. J. Ancker & A. V. Gafarian, 1963. "Some Queuing Problems with Balking and Reneging. I," Operations Research, INFORMS, vol. 11(1), pages 88-100, February.
    2. C. J. Ancker & A. V. Gafarian, 1963. "Some Queuing Problems with Balking and Reneging---II," Operations Research, INFORMS, vol. 11(6), pages 928-937, December.
    3. Frank Haight, 1959. "Queueing with reneging," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 2(1), pages 186-197, December.
    4. Kuo-Hsiung Wang & Ying-Chung Chang, 2002. "Cost analysis of a finite M/M/R queueing system with balking, reneging, and server breakdowns," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 169-180, November.
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    Cited by:

    1. Asmita Tamuli & Dhruba Das & Amit Choudhury, 2024. "Optimizing the Performance of Multi-server Heterogeneous Queueing Systems with Dynamic Customer Behaviour," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 366-414, November.
    2. Amina Angelika Bouchentouf & Mouloud Cherfaoui & Mohamed Boualem, 2019. "Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 300-323, March.
    3. Amina Angelika Bouchentouf & Lahcene Yahiaoui & Mokhtar Kadi & Shakir Majid, 2020. "Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy," Operations Research and Decisions, Wroclaw University of Science Technology, Faculty of Management, vol. 30(4), pages 5-28.
    4. Sanga, Sudeep Singh & Jain, Madhu, 2019. "Cost optimization and ANFIS computing for admission control of M/M/1/K queue with general retrial times and discouragement," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    5. Sindhu S & Achyutha Krishnamoorthy & Dmitry Kozyrev, 2023. "A Two-Server Queue with Interdependence between Arrival and Service Processes," Mathematics, MDPI, vol. 11(22), pages 1-25, November.
    6. Amita Bhagat & Madhu Jain, 2020. "Retrial queue with multiple repairs, multiple services and non preemptive priority," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 787-814, September.

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