A printing shop receives an average of one order per day. The average length of time required to complete an order is half a day. At any given time, the print shop can work on at most one job. Interarrivaltimes and service times are exponentially distributed.a. On average, how many jobs are present in the print shop?b. On average, how long will a person who places an order have to wait until it is finished?c. What is the probability that an order will begin work within two days of its arrival?
A printing shop receives an average of one order per day. The average length of time required to complete an order is half a day. At any given time, the print shop can work on at most one job. Interarrivaltimes and service times are exponentially distributed.a. On average, how many jobs are present in the print shop?b. On average, how long will a person who places an order have to wait until it is finished?c. What is the probability that an order will begin work within two days of its arrival?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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A printing shop receives an average of one order per day. The average length of time required to complete an order is half a day. At any given time, the print shop can work on at most one job. Interarrival
times and service times are exponentially distributed.
a. On average, how many jobs are present in the print shop?
b. On average, how long will a person who places an order have to wait until it is finished?
c. What is the probability that an order will begin work within two days of its arrival?
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