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Expected Performance of a Queueing System with Ancillary Activities

 

作者: HallRandolph W.,  

 

期刊: Journal of the Operational Research Society  (Taylor Available online 1989)
卷期: Volume 40, issue 8  

页码: 741-750

 

ISSN:0160-5682

 

年代: 1989

 

DOI:10.1057/jors.1989.126

 

出版商: Taylor&Francis

 

关键词: queueing

 

数据来源: Taylor

 

摘要:

AbstractMany service organizations follow a scheduling policy whereby employees alternate between direct customer service (e.g. bank deposits and withdrawals) and an ancillary activity (e.g. bookkeeping, paperwork). When queues are short, employees are diverted to ancillary activities; when queues become long, employees return to customer service. This paper evaluates trade-offs between the system objectives of (1) minimizing customer delay, (2) minimizing teller idle time, and (3) minimizing the disruption of ancillary activities, for queueing systems with ancillary activities. Customers are assumed to arrive by a stationary Poisson process, and service times are exponential random variables. In terms of objectives (1) and (3), the best of four policies studied is to add a server when the queue sizeper serverreaches a maximum and remove a server when the queue size equals zero. The difference in teller idle time between the policies is generally small, particularly when the traffic intensity is large.

 

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