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Journal ArticleDOI

Two queues attended by a single server

Lajos Takács
- 01 Jun 1968 - 
- Vol. 16, Iss: 3, pp 639-650
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TLDR
It is supposed that customers of type 1 and type 2 arrive at a service system in accordance with a Poisson process and the service times have a general distribution.
Abstract
It is supposed that customers of type 1 and type 2 arrive at a service system in accordance with a Poisson process. There are two counters in the system. Customers of type 1 receive service at coun...

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Citations
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Journal ArticleDOI

Queuing analysis of polling models

TL;DR: An overview of the state of the art of polling model analysis is presented, in particular, single- buffer systems and infinite-buffer systems with exhaustive, gated, and limited service disciplines are treated.
Journal ArticleDOI

Multiqueue systems with nonexhaustive cyclic service

TL;DR: An approximate analysis of the multiqueue system M[x]/G/1 with batch Poisson input, general service times, general overhead (switchover) times, and a single server operating under a cyclic strategy with nonexhaustive service of queues is provided.
Journal ArticleDOI

Queues with Periodic Service and Changeover Time

TL;DR: This paper analyzes a queuing model consisting of a system of queues that are attended periodically in a given order by a single server and shows how the moments of these distributions can be calculated.
Journal ArticleDOI

Queues served in cyclic order: Waiting times

TL;DR: The Laplace-Stieltjes transforms of the order-of-arrival waiting time distribution functions and, for the exhaustive service model, the mean waiting time for a unit arriving at a queue, are obtained.
Journal ArticleDOI

Queues served in cyclic order

TL;DR: In this paper, the authors study two models of a system of queues served in cyclic order by a single server, and find expressions for the mean number of units in a queue at the instant it starts service, the mean cycle time, and the Laplace-Stieltjes transform of the cycle time distribution function.
References
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Journal ArticleDOI

Queuing with Alternating Priorities

TL;DR: The alternating priority rule is compared to the "head-of-the-line" and the "first-come, first-served" rules with respect to expected queuing times and queue sizes and the results are related to the case where switching from one type of customers to another is not penalized by setup time.
Journal ArticleDOI

Delay distributions for one line with poisson input, general holding times, and various orders of service

TL;DR: In this paper, the distribution function of the delay and its moments are given for a stationary process and for three orders of service: (i) order of arrival, (ii) random order, and (iii) reverse order.