5. Consider a bank with three tellers. An average of 90 customers per hour arrive at th bank and wait in a single line for an idle teller. The average time it takes to serve a customer is 2.0 minutes. Assume that inter-arrival times and service times are exponential. Determine 1. The expected number of customers present in the bank. 2. The expected length of time a customer spends in the bank. 3. The fraction of time that a particular teller is idle.
5. Consider a bank with three tellers. An average of 90 customers per hour arrive at th bank and wait in a single line for an idle teller. The average time it takes to serve a customer is 2.0 minutes. Assume that inter-arrival times and service times are exponential. Determine 1. The expected number of customers present in the bank. 2. The expected length of time a customer spends in the bank. 3. The fraction of time that a particular teller is idle.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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INEN435 Stochastic Operations Research
Homework 5-Queuing Theory
5. Consider a bank with three tellers. An average of 90 customers per hour arrive at the
bank and wait in a single line for an idle teller. The average time it takes to serve a
customer is 2.0 minutes. Assume that inter-arrival times and service times are
exponential. Determine
1. The expected number of customers present in the bank.
2. The expected length of time a customer spends in the bank.
3. The fraction of time that a particular teller is idle.
6. A car washing station is trying to decide how many washing machines to operate.
Suppose an average of 15 cars arrive each hour, and the average washing time for a car
uton Inter arrival times and service times are exponential, and the system may be
EG diting
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