During peak time, customers arrive at a bank teller window (with a single teller) at a rute d 23 per hour, where the teller can serve 25 per hour. This probilem will allow yon to investigate (via simple exteusion of the mean queun siae formula) the elffeet of highly-variahle service tins en ot fauniliar queuing metrios The diagram below stylines the queulng system Waiting Service Calculate the marginal probability P (T> or). a. 0.37 b. 0.25 C. 0.63 d. 0.75 What is the average number of customers at the bank (in line and at the window)? a. 11.5 customers b. 10.58 customers C. 2.6 customers d. 0.92 customers Caleulate the mean time a customer spends at the baak (waiting time plus service time) i minutes a. 24 minutes 27.6 minutes C 7 minutes d. 30 minutes

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 26P
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During peak time, customers arrive at a bank teller window (with a single teller) at a rute of 23
per hour, where the teller can serve 25 per hour. This probilem will allow yon to investigate (vias
simple exteusion of the mean queun slae formula) the ellect of highly-variable service tines en ot
fatmiliar queuing roetrics. The diagram below stylines the queuing systemi
Waiting
Service
Calculate the marginal probability P (T > oT).
a. 0.37
Ob. 0.25
C. 0.63
d. 0.75
What is the average number of eustomers at the bank (in line and at the window)?
a. 11.5 customers
b. 10.58 customers
c. 2.6 customers
d. 0.92 customers
Caleulate the mean time a customer spends
the bank (waiting tine plus service time) in
minutes
a. 24 minutes
b 27.6 minutes
C 7 minutes
d. 30 minutes
Transcribed Image Text:During peak time, customers arrive at a bank teller window (with a single teller) at a rute of 23 per hour, where the teller can serve 25 per hour. This probilem will allow yon to investigate (vias simple exteusion of the mean queun slae formula) the ellect of highly-variable service tines en ot fatmiliar queuing roetrics. The diagram below stylines the queuing systemi Waiting Service Calculate the marginal probability P (T > oT). a. 0.37 Ob. 0.25 C. 0.63 d. 0.75 What is the average number of eustomers at the bank (in line and at the window)? a. 11.5 customers b. 10.58 customers c. 2.6 customers d. 0.92 customers Caleulate the mean time a customer spends the bank (waiting tine plus service time) in minutes a. 24 minutes b 27.6 minutes C 7 minutes d. 30 minutes
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