Answered: At the SuperSpeedy drive-through the… | bartleby

Practical Management Science

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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At the SuperSpeedy drive-through the time between consecutive customer
arrivals has a mean of 50 seconds and a standard deviation of 30 seconds. There
are two servers whose service time averages 80 seconds with a standard deviation
of 20 seconds. Assume that no customers leave the drive-through after entry.
b. What is the average time a customer spends at the drive-through? What fraction
of that is waiting in the queue?

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Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? Note: Round your answer to 2 decimal places. a-2. How long would a customer expect to spend in the camera department (total time)? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. b. What is the utilization of the clerk? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. c. What is the probability that there are more than two people in the camera department (excluding the clerk)? Note: Round your intermediate calculations to 3 decimal places and final answer to 1…
A server operates with 75 percent utilization. The average processing time istwo minutes and the standard deviation of processing time is one minute. The coefficient ofvariation of the arrival process is one. What is the average time in the queue for customers?
Consider a bank where potential customers arrive at rate of 60 customers per hour. However, because of limited space, one out of every four arriving customers finds the bank full and leaves immediately (without enteringthe bank). Suppose that the average number of customers waiting in line in the bank is 3.5. How long will a typical entering customer have to wait in line? (Hint: In Little’s formula, l refers only to customers who enter the system.)

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