On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy.
type: Item
instance of: scholarly article
title: On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy.
zbMATH Open document ID: 1041.60070
DOI: 10.1016/S0096-3003(03)00174-7
author: K. C. Madan
author: Adel Z. Abu Al-Rub
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: A stable single server queue M/D/1 with Poisson input and deterministic service times is considered. There are two possibilities for the server at the beginning of each idle period: to take a vacation or to wait for the next customer. Standard steady-state analysis is done (deriving the balance equations for the steady state probabilities and calculating the mean queue-size). Both exponential and two phase exponential distribution of the vacation period are studied.
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 2056592
zbMATH Keywords: M/D/1 queue
zbMATH Keywords: Bernoulli schedule server vacation
zbMATH Keywords: phase type and exponential vacation
zbMATH Keywords: steady state analysis
reviewed by: Evsei Morozov
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00174-7
OpenAlex ID: W2004446866
description: scientific article; zbMATH DE number 2056592