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Heterogeneous two-server queueing system with reverse balking and reneging

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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.

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Authors and Affiliations

  1. Department of Mathematics, Mathematics Laboratory, Djillali Liabes University of Sidi Bel Abbes, B. P. 89, 22000, Sidi Bel Abbès, Algeria

    Amina Angelika Bouchentouf

  2. Department of Mathematics, University Center of Ain Temouchent, Ain Temouchent, Algeria

    Aicha Messabihi

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  1. Amina Angelika Bouchentouf
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  2. Aicha Messabihi
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Correspondence to Amina Angelika Bouchentouf.

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Bouchentouf, A.A., Messabihi, A. Heterogeneous two-server queueing system with reverse balking and reneging. OPSEARCH 55, 251–267 (2018). https://doi.org/10.1007/s12597-017-0319-4

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