Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Problem 11-03 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their

image text in transcribed 

Problem 11-03 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 12 customers per hour or 0.2 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 18 customers per hour, or 0.3 customers per minute. Determine the following operating characteristics for the system: a. The probability that no customers are in the system. If required, round your answer to four decimal places. Po= b. The average number of customers waiting. If required, round your answer to four decimal places. c. The average number of customers in the system. If required, round your answer to nearest whole number. L = d. The average time a customer spends waiting. If required, round your answer to four decimal places. Wq= min e. The average time a customer spends in the system. If required, round your answer to nearest whole number. W- 10.0000 min f. The probability that arriving customers will have to wait for service. If required, round your answer to four decimal places. Pw=

Step by Step Solution

There are 3 Steps involved in it

Step: 1

To solve this problem well use the formulas for an MM1 queue singleserver queuing system with Poisso... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Management Fundamentals

Authors: Robert N. Lussier

1st Edition

032401337X, 978-0324013375

More Books

Students also viewed these General Management questions

Question

Differentiate 3sin(9x+2x)

Answered: 1 week ago

Question

Describe the nature of negative messages.

Answered: 1 week ago