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Some problems in the analysis of queing systems

A summary is given of the main techniques which have been used in the analysis of queuing systems. This is followed by discussion of several independent problems: (1) a two counter problem, where arrivals join the shorter queue; (2) some numerical methods for determining the transient behavior of finite queues; (3) double queues, with impatient customers and service clerks -- typified by a taxi-stand with queues of passengers and taxis; (4) the use of Laplace transforms in analysis of queues; (5) the relation among the mean arrival rate, the mean number in the system, and the mean waiting time of an arrival; (6) the application of queuing theory to job-shop analysis; and (7) the estimation of system parameters from observations on the behavior of the queue. A bibliography is inclosed.

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  • "A summary is given of the main techniques which have been used in the analysis of queuing systems. This is followed by discussion of several independent problems: (1) a two counter problem, where arrivals join the shorter queue; (2) some numerical methods for determining the transient behavior of finite queues; (3) double queues, with impatient customers and service clerks -- typified by a taxi-stand with queues of passengers and taxis; (4) the use of Laplace transforms in analysis of queues; (5) the relation among the mean arrival rate, the mean number in the system, and the mean waiting time of an arrival; (6) the application of queuing theory to job-shop analysis; and (7) the estimation of system parameters from observations on the behavior of the queue. A bibliography is inclosed."@en

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  • "Some problems in the analysis of queing systems"@en