Simulation of waiting line systems with queue length dependent parameters

Irwin Greenberg; Susan Heimrath

doi:10.1145/800294.811466

Simulation of waiting line systems with queue length dependent parameters

Irwin Greenberg, Susan Heimrath

Research output: Contribution to journal › Conference article › peer-review

Abstract

A queueing system is simulated in which the arrival and service rates are functions of the number of customers in the system. This type of system has been suggested as being more representative of real queueing situations than is the usual "simple" queue with constant arrival and service rates. A modification of the "time of next event" simulation method is required since an arrival to the queue changes the distribution of residual service time of the customer being served and the departure of a customer changes the distribution of the time of the next arrival. The primary purpose of the simulation is to examine the statistical problems involved in estimating the system parameters.

Original language	English (US)
Pages (from-to)	410-412
Number of pages	3
Journal	Proceedings - Winter Simulation Conference
DOIs	https://doi.org/10.1145/800294.811466
State	Published - Jan 1 1971
Externally published	Yes
Event	5th Conference on Winter Simulation Conference, WSC 1971 - New York, United States Duration: Dec 8 1971 → Dec 10 1971

All Science Journal Classification (ASJC) codes

Software
Modeling and Simulation
Computer Science Applications

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10.1145/800294.811466

Cite this

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title = "Simulation of waiting line systems with queue length dependent parameters",

abstract = "A queueing system is simulated in which the arrival and service rates are functions of the number of customers in the system. This type of system has been suggested as being more representative of real queueing situations than is the usual {"}simple{"} queue with constant arrival and service rates. A modification of the {"}time of next event{"} simulation method is required since an arrival to the queue changes the distribution of residual service time of the customer being served and the departure of a customer changes the distribution of the time of the next arrival. The primary purpose of the simulation is to examine the statistical problems involved in estimating the system parameters.",

author = "Irwin Greenberg and Susan Heimrath",

note = "Publisher Copyright: {\textcopyright} 1971 Institute of Electrical and Electronics Engineers Inc. All rights reserved.; 5th Conference on Winter Simulation Conference, WSC 1971 ; Conference date: 08-12-1971 Through 10-12-1971",

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doi = "10.1145/800294.811466",

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AU - Heimrath, Susan

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N2 - A queueing system is simulated in which the arrival and service rates are functions of the number of customers in the system. This type of system has been suggested as being more representative of real queueing situations than is the usual "simple" queue with constant arrival and service rates. A modification of the "time of next event" simulation method is required since an arrival to the queue changes the distribution of residual service time of the customer being served and the departure of a customer changes the distribution of the time of the next arrival. The primary purpose of the simulation is to examine the statistical problems involved in estimating the system parameters.

AB - A queueing system is simulated in which the arrival and service rates are functions of the number of customers in the system. This type of system has been suggested as being more representative of real queueing situations than is the usual "simple" queue with constant arrival and service rates. A modification of the "time of next event" simulation method is required since an arrival to the queue changes the distribution of residual service time of the customer being served and the departure of a customer changes the distribution of the time of the next arrival. The primary purpose of the simulation is to examine the statistical problems involved in estimating the system parameters.

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JO - Proceedings - Winter Simulation Conference

JF - Proceedings - Winter Simulation Conference

T2 - 5th Conference on Winter Simulation Conference, WSC 1971

Y2 - 8 December 1971 through 10 December 1971

ER -

Simulation of waiting line systems with queue length dependent parameters

Abstract

All Science Journal Classification (ASJC) codes

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