Exam 18: Waiting Line

Scenario B.1 A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour.Customers arrive every minute for assistance and always wait,regardless of how long the line gets.Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution. -Use the information in Scenario B.1.What is the average time a customer must wait in line?

Scenario B.5 A trucking firm has five trucks that each requires service at an average rate of once every 50 hours,according to an exponential distribution.The firm has a mechanic who needs five hours to complete the average job with exponential service times. -Use the information in Scenario B.5.What is the probability that there will be no trucks in the system?

Scenario B.4 Customers arrive at an airline ticket counter at the rate of 50 customers per hour,according to a Poisson distribution.There are three ticket agents.Customers select the first available agent from one line.Each agent can process 20 customers per hour with exponential service times. -Use the information in Scenario B.4.What is the average waiting time in line?

The owner of a desktop publishing company has seven loyal clients who periodically require his services.The owner has:

With a single-server model,increasing the promotions for a service through advertising will most likely:

The ________ distribution specifies the probability that n customers will arrive in T time periods.

Scenario B.6 The Jackson Machine Company has four cutting tools that need to be refurbished after an average of 30 hours,according to an exponential distribution.The single machine that refurbishes the tools needs 15 hours for each tool on the average,with exponential service times. -Use the information in Scenario B.6.What is the probability that there will be no tools in the system?

Create a table that lists any three performance measures for a service system in the left column.In the center column,indicate what steps management can take to improve system performance on those metrics.In the rightmost column indicate what steps management can take to improve customers' perceptions of performance on those metrics.

With a finite-source model,increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in a(n):

An operations manager organizes a process improvement team and the resulting process has a lower mean (µ).Which statement is the best description of this change?

The ________ is an input that generates potential customers.

What is a finite-source model? Give an example of its appropriate use.

Scenario B.6 The Jackson Machine Company has four cutting tools that need to be refurbished after an average of 30 hours,according to an exponential distribution.The single machine that refurbishes the tools needs 15 hours for each tool on the average,with exponential service times. -Use the information in Scenario B.6.What is the average waiting time of tools in line?

Customers arrive according to a Poisson distribution.The average number of customer arrivals per hour is two.The probability that five customers will arrive in the next three hours is:

A(n)________ is one or more "customers" waiting for service.

Customer waiting times for a call center are extremely long.Two possible explanations for this phenomenon are low ________ or low ________.

Scenario B.1 A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour.Customers arrive every minute for assistance and always wait,regardless of how long the line gets.Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution. -Use the information in Scenario B.1.What is the utilization of the ticket taker?

The exponential distribution is based on the assumption that each service time is ________ of those that preceded it.

Students arrive at a university business library during peak evening hours at a rate of 40 students every half hour.A periodic count shows that there are 200 students in the library at any one time.On average,how long is each student's stay in the library?

A Laundromat where there are washing machines and dryers is an example of a: