New Approach for Finding Basic Performance Measures of Single Server Queue
Joint Authors
Koh, Siew Khew
Pooi, Ah Hin
Tan, Yi Fei
Source
Journal of Probability and Statistics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Consider the single server queue in which the system capacity is infinite and the customers are served on a first come, first served basis.
Suppose the probability density function f(t) and the cumulative distribution function F(t) of the interarrival time are such that the rate f(t)/1-F(t) tends to a constant as t→∞, and the rate computed from the distribution of the service time tends to another constant.
When the queue is in a stationary state, we derive a set of equations for the probabilities of the queue length and the states of the arrival and service processes.
Solving the equations, we obtain approximate results for the stationary probabilities which can be used to obtain the stationary queue length distribution and waiting time distribution of a customer who arrives when the queue is in the stationary state.
American Psychological Association (APA)
Koh, Siew Khew& Pooi, Ah Hin& Tan, Yi Fei. 2014. New Approach for Finding Basic Performance Measures of Single Server Queue. Journal of Probability and Statistics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1042846
Modern Language Association (MLA)
Koh, Siew Khew…[et al.]. New Approach for Finding Basic Performance Measures of Single Server Queue. Journal of Probability and Statistics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1042846
American Medical Association (AMA)
Koh, Siew Khew& Pooi, Ah Hin& Tan, Yi Fei. New Approach for Finding Basic Performance Measures of Single Server Queue. Journal of Probability and Statistics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1042846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042846