This problem is similar to problem 14-17 on page 618 in your text, but I added additional data to make it interesting. Use Excel QM for the first part then QM3 for the second and last parts.

Automobiles arrive at the local Sonic Burger where employees on roller skates service them in parking lot while they sit in their automobiles at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. If only one (1) employee is used answer a – g.

a) What is the average time a car is in the Que?

b) What is the average number of cars in the Que?

c) What is the average time cars spend waiting to receive service (system)?

d) What is the average number of cars in line (system) behind the customer receiving service?

e) What is the probability that there are no cars on the lot?

f) What percentage of the time is the employee busy?

g) What is the probability that there are exactly 2 cars in the system?

Additional Data for a new question: Use QM3 for Windows it will allow you to include costs. The Sonic is open 11 hours per day and the number of employees can be 2, 3, or 4 with each working the same rate. Wage Cost per employee is $25/hr.

The store estimates that every hour of customer time spent waiting for service costs the store $35 in lost sales and ill will.

a) Find the average time in the Que if 2, 3 or 4 employees are used.

b) What is the total time spent waiting in line each day if 2, 3 or 4 employees are used?

c) Calculate the daily total cost (daily waiting cost plus service cost) if 2, 3 or 4 employees are used?

d) What is the minimum total daily cost if 2, 3 or 4 employees are used?

Additional Data:
What if employees receive a $5.25 per hour raise and because of quality improvements the waiting costs haves increased to $45 per hour, BUT only 2 or 3...

...WaitingLines & Queuing Models
American Military University
Business 312
For my project on other operations research techniques I have decided to research waitinglines and queuing models. My interest in this application stems from my personal dislike for standing in lines and waiting on hold while on the phone. This is virtually my only pet peeve; nothing aggravates...

...Page 217
C H A P T E R
WaitingLine and QueuingTheory Models
14
TEACHING SUGGESTIONS
Teaching Suggestion 14.1: Topic of Queuing. Here is a chapter that all students can relate to. Ask about student experiences in lines. Stress that queues are a part of our everyday lives and how things have changed at banks, post ofﬁces, and airports in just the past decade. (We now wait in a common...

...REVISED
M14_REND6289_10_IM_C14.QXD 5/12/08 1:01 PM Page 218
218
CHAPTER 14
WAITINGLINE
AND
QUEUINGTHEORY MODELS
Alternative Example 14.3: A new shopping mall is considering setting up an information desk manned by two employees. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 2 minutes to...

...Introduction
Being in a queue (waitingline) is an inevitable fact of our daily life, such as waiting for checkout at a supermarket, or waiting to make a bank deposit. Queuingtheory, started with research by Agner Krarup Erlang, is used to examine the impact of management decisions on these waitinglines (Anderson et.al, 2009). A basic Queuing Model structure...

...the Laws of Supply and Demand
The simulation in the text is about a small city by the name of Atlantis. Atlantis is a well-maintained city with many positive aspects for the community. All of the aspects make it a pleasant living environment. For example, the city has maintained streets, maintained sidewalks, large parks and jogging paths. To rent an apartment in the community of Atlantis an individual would have to go through Good life Management. The current vacancy rate is...

...Game Theory
International Business Management
Preface
Since Game Theory is a tool used to analyze strategic behavior by taking into consideration how participants expect other to behave I thought about an everyday example in my life. I wanted to analyze my job at the bar and take into account some independent parties that compete with me. Since it’s not my choice who my boss will hire or fire I was interested in how each...

...meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see www.mcgill.ca/integrity for more information).
COURSE RELATED INFORMATION
PERFORMANCE EVALUATION 2 Problem Set Assignments 1 Case Study Report 1 Game Report Midterm Exam Final Exam 15% (2*7.5%) 10 % 5% 25 % 45 %
COURSE DESCRIPTION AND LEARNING OUTCOMES
•
Course Description
Operations management (OM) involves design,...

...Problem 1 A gas station with only one gas pump employs the following policy: if a customer has to wait, the price is $3.50 per gallon; if they don’t have to wait, the price is $4.00 per gallon. Customers arrive according to a Poisson process with a mean rate of 20 per hour. Service times at the pump have an exponential distribution with a mean of 2 minutes. Arriving customers always wait until they can by gasoline. Determine the expected price of gasoline per gallon....

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