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Some aspects of stationary characteristics and optimal control of the BMAP ∕ G − G ∕ 1 ∕ N( ∞ ) oscillating queueing system

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  • A.D. Banik

Abstract

We consider a finite‐buffer queue where arrivals occur according to a batch Markovian arrival process (BMAP), and there are two servers present in the system. At the beginning of a busy period, the low performance server serves till queue length reaches a critical level b(⩽ N), and when queue length is greater than or equal to b, the high performance server starts working. High performance server serves till queue length drops down to a satisfactory level a (

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  • A.D. Banik, 2015. "Some aspects of stationary characteristics and optimal control of the BMAP ∕ G − G ∕ 1 ∕ N( ∞ ) oscillating queueing system," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(2), pages 204-230, March.
    • Handle: RePEc:wly:apsmbi:v:31:y:2015:i:2:p:204-230
    DOI: 10.1002/asmb.2025
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    Cited by:

    1. Alexander Dudin & Sergey Dudin & Rosanna Manzo & Luigi Rarità, 2022. "Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials," Mathematics, MDPI, vol. 10(20), pages 1-19, October.
    2. Doo Il Choi & Dae-Eun Lim, 2020. "Analysis of the State-Dependent Queueing Model and Its Application to Battery Swapping and Charging Stations," Sustainability, MDPI, vol. 12(6), pages 1-15, March.

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