The Baytown Post Office has four stations for service. Cus-tomers line up in single file for service on an FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and themean service time per server is five minutes, exponentially distributed. Compute the operating characteristics for this op-eration. Does the operation appear to be satisfactory in terms of: (a) postal workers’ (servers’) idle time; (b) customer wait-ing time and/or the number waiting for service; and (c) the percentage of the time a customer can walk in and get servedwithout waiting at all?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The Baytown Post Office has four stations for service. Cus-
tomers line up in single file for service on an FIFO basis. The

mean arrival rate is 40 per hour, Poisson distributed, and the
mean service time per server is five minutes, exponentially

distributed. Compute the operating characteristics for this op-
eration. Does the operation appear to be satisfactory in terms

of: (a) postal workers’ (servers’) idle time; (b) customer wait-
ing time and/or the number waiting for service; and (c) the

percentage of the time a customer can walk in and get served
without waiting at all?

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