The following information pertains to telephone calls to a motel switchboard on a typical Tuesday.PeriodIncoming Rate(calls perminute)Service Rate(calls per minuteper operator)Number ofOperatorsMorning 1.8 1.5 2Afternoon 2.2 1.0 3Evening 1.4 0.7 3a. Determine the average time callers wait to have their calls answered for each period and theprobability that a caller will have to wait for each period.b. For each case in the previous problem, determine the maximum line length for a probability of96 percent.
The following information pertains to telephone calls to a motel switchboard on a typical Tuesday.PeriodIncoming Rate(calls perminute)Service Rate(calls per minuteper operator)Number ofOperatorsMorning 1.8 1.5 2Afternoon 2.2 1.0 3Evening 1.4 0.7 3a. Determine the average time callers wait to have their calls answered for each period and theprobability that a caller will have to wait for each period.b. For each case in the previous problem, determine the maximum line length for a probability of96 percent.
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 21P
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The following information pertains to telephone calls to a motel switchboard on a typical Tuesday.
Period
Incoming Rate
(calls per
minute)
Service Rate
(calls per minute
per operator)
Number of
Operators
Morning 1.8 1.5 2
Afternoon 2.2 1.0 3
Evening 1.4 0.7 3
a. Determine the average time callers wait to have their calls answered for each period and the
probability that a caller will have to wait for each period.
b. For each case in the previous problem, determine the maximum line length for a probability of
96 percent.
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