Discrete‐time multiserver queue with impatient customers

This reported work considers a discrete‐time multiserver queue in which the customers wait for service for a limited time with a general distribution and leave the system if the service has not begun within that time. The customers arrive according to a Bernoulli process and the service times are ge...

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Bibliographic Details
Published in:Electronics letters 2013-01, Vol.49 (1), p.38-39
Main Authors: Kim, Jeongsim, Kim, Bara, Kang, Jangha
Format: Article
Language:English
Subjects:
Applied sciences
Bernoulli process
customer services
discrete time multiserver queue
discrete time systems
Exact sciences and technology
geometrically distributed service times
impatient customers
limited time waiting
loss probability
Operational research and scientific management
Operational research. Management science
queue length distribution
queueing theory
Queuing theory. Traffic theory
statistical distributions
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Summary:This reported work considers a discrete‐time multiserver queue in which the customers wait for service for a limited time with a general distribution and leave the system if the service has not begun within that time. The customers arrive according to a Bernoulli process and the service times are geometrically distributed. Presented are exact expressions for the loss probability and the queue length distribution.
ISSN:1350-911X
0013-5194
1350-911X
DOI:10.1049/el.2012.3520