Some aspects of stationary characteristics and optimal control of the \(BMAP / G - G / 1 / N( \infty )\) oscillating queueing system

DOI10.1002/ASMB.2025MaRDI QIDQ6574708

A. D. Banik

Publication date: 18 July 2024

Published in: Applied Stochastic Models in Business and Industry (Search for Journal in Brave)

zbMATH Keywords

batch Markovian arrival processfinite-buffercost controlInfinite-buffermatrix-analytic formalismoscillating queuepartial and total batch rejection strategy

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process
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• The M/G-G/1 oscillating queueing system
• The M-M/G/1-type oscillating systems
• New results on the single server queue with a batch markovian arrival process
• A single-server queue with server vacations and a class of non-renewal arrival processes
• Regenerative Analysis and Steady State Distributions for Markov Chains
• A stable recursion for the steady state vector in markov chains of m/g/1 type
• Control Policies for the M^X/G/1 Queueing System
• A versatile Markovian point process
• Optimal strategy in N-policy production system with early set-up

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