On average, 100 customers arrive per hour at theGotham City Bank. The average service time for eachcustomer is one minute. Service times and interarrivaltimes are exponentially distributed. The manager wantsto ensure that no more than 1% of all customers willhave to wait in line for more than five minutes. If thebank follows the policy of having all customers join asingle line, how many tellers must the bank hire?
On average, 100 customers arrive per hour at theGotham City Bank. The average service time for eachcustomer is one minute. Service times and interarrivaltimes are exponentially distributed. The manager wantsto ensure that no more than 1% of all customers willhave to wait in line for more than five minutes. If thebank follows the policy of having all customers join asingle line, how many tellers must the bank hire?
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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On average, 100 customers arrive per hour at the
Gotham City Bank. The average service time for each
customer is one minute. Service times and interarrival
times are exponentially distributed. The manager wants
to ensure that no more than 1% of all customers will
have to wait in line for more than five minutes. If the
bank follows the policy of having all customers join a
single line, how many tellers must the bank hire?
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