Queueing with Cyclic Arrival Distributions and Variable Service Facilities: A Simulation Approach
作者:
WymanF. Paul,
Orr,William M.,
期刊:
Journal of the Operational Research Society
(Taylor Available online 1973)
卷期:
Volume 24,
issue 4
页码: 593-601
ISSN:0160-5682
年代: 1973
DOI:10.1057/jors.1973.108
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractThis paper develops a near optimal policy for opening a second counter in a quick-service restaurant whennpersons are in the first line, given that the arrival process is cyclic rather than purely stationary. A simulation was written in GPSS which permitted the use of different arrival generators during different time segments of the simulated day. Results indicate that asnis varied, waiting time and utilization levels exhibit an S-shaped curve between the pure 1 facility and the 2 facility cases. Results also indicate that a cyclic arrival process greatly increases (relative to the case of exponential arrivals) mean waiting time, facility utilization, and the range ofn. Finding the optimal (least cost) value ofnis illustrated for cases in which costs of customer waiting time can be meaningfully imputed.
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