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RETRACTED ARTICLE: Transient analysis of an M/M/1 queue with variant impatient behavior and working vacations

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  • R. Sudhesh

    (Anna University)

  • A. Azhagappan

    (Anna University)

Abstract

This paper studies an M/M/1 queue with single, multiple working vacations and customers’ variant impatient behavior. During working vacations, the arriving customers are served with slower service rate than the service rate of non-vacation period. An arriving customer, during working vacation, finds the system empty and gets his service immediately, does not become impatient. The only customers who are waiting for service, during working vacation, become impatient. The transient system size probabilities of this model are derived explicitly in the closed form using continued fraction. The time-dependent mean and variance are also computed. Numerical examples are provided to visualize the analytical results.

Suggested Citation

  • R. Sudhesh & A. Azhagappan, 2018. "RETRACTED ARTICLE: Transient analysis of an M/M/1 queue with variant impatient behavior and working vacations," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 787-806, November.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:3:d:10.1007_s12597-018-0339-8
    DOI: 10.1007/s12597-018-0339-8
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    References listed on IDEAS

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    1. Ammar, Sherif I., 2015. "Transient analysis of an M/M/1 queue with impatient behavior and multiple vacations," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 97-105.
    2. Perel, Nir & Yechiali, Uri, 2010. "Queues with slow servers and impatient customers," European Journal of Operational Research, Elsevier, vol. 201(1), pages 247-258, February.
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    Cited by:

    1. 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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