LF Bank has 3 tellers serving customers through ashared line where the next customer in line goes to thefirst available teller. Each teller can serve 30 customersper hour with exponential service times and thecustomers arrive at a rate of 74 per hour, according toa Poisson distribution. On average, how manycustomers are in the system? (Note: carry all yourresults to at least 4 decimal places)Round your final answer to 2 decimal places.Answer:Check

Given, Arrival rate λ = 74 per hour Service rate μ = 30 per hour Number of tellers s = 3 P0 =…

Answered: LF Bank has 3 tellers serving customers…

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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A study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS.a. Calculate the percentage utilization of the graduate student.b. Calculate the average number of students in the system, excluding the graduate student service.c. Calculate the average time in the system.d. Calculate the probability of four or more students being in line or being served.e. Before a test, the arrival of students increases to six per hour, on average. What will the new average line length be?
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