Customers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate: a. A. probability that an arriving customer can drive directly to the space in front of the window
Customers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate: a. A. probability that an arriving customer can drive directly to the space in front of the window
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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Customers arrive at a one window drive according to a poison distribution with mean of 10
minutes and service time per customer is exponential with mean of 6 minutes. The space in front
of the window can accommodate only three vehicles including the serviced ones. Other vehicles
are have to wait outside this space. Calculate:
a. A. probability that an arriving customer can drive directly to the space in front of the
window
b. Probability that an arriving customer will have to wait outside the directed space
c. How long an arriving customer is expected to wait before getting the service?
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VIEWStep 2: a. Probability that an arriving customer can drive directly to the space in front of the window
VIEWStep 3: b. Probability that an arriving customer will have to wait outside the directed space
VIEWStep 4: c. Calculate the time that arriving customer is expected to wait before getting the service.
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