Analysis of the adaptive \(MMAP[K]/PH[K]/1\) queue: a multi-type queue with adaptive arrivals and general impatience

DOI10.1016/j.ejor.2012.02.029zbMath1253.90084OpenAlexW2001942143MaRDI QIDQ1926786

Benny Van Houdt

Publication date: 29 December 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2012.02.029

zbMATH Keywords

queueingfluid queuesMarkov jump processadaptive arrivalsgeneral impatiencemulti-type queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (12)

Multi-stage stochastic fluid models for congestion control ⋮ Efficient analysis of the MMAP[\(K\)/PH[\(K\)]/1 priority queue] ⋮ Fitting correlated arrival and service times and related queueing performance ⋮ Multi-class M/PH/1 queues with deterministic impatience times ⋮ An \(\mathrm{M}/\mathrm{PH}/K\) queue with constant impatient time ⋮ Compact Markov-modulated models for multiclass trace fitting ⋮ Accurate numerical solution for structured \(M\)-matrix algebraic Riccati equations ⋮ An \(M/ PH /1\) queue with workload-dependent processing speed and vacations ⋮ Double-sided queues with marked Markovian arrival processes and abandonment ⋮ On first-come, first-served queues with two classes of impatient customers ⋮ Steady-state and first passage time distributions for waiting times in the \(MAP/M/s+G\) queueing model with generally distributed patience times ⋮ Price and speed decisions in customer-intensive services with two classes of customers

Cites Work

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• A Hessenberg-Schur method for the problem AX + XB= C
• The Waiting Time Distribution of a TypekCustomer in a Discrete-Time MMAP[K/PH[K]/c (c = 1, 2) Queue Using QBDs]
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• Response Time Distribution in a D-MAP/PH/1 Queue with General Customer Impatience
• A New Policy Evaluation Algorithm for Markov Decision Processes with Quasi Birth-Death Structure
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