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
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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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