Assignment for course: Scmn 5710
Submitted to: Dr. Rao
Submitted by: Parker Altman

Date of Submission: 10/10/12
Title of Assignment: Bamboo House

CERTIFICATION OF AUTHORSHIP: I certify that I am the author of this paper and that any assistance I received in its preparation is fully acknowledged and disclosed in the paper. I have also cited any sources from which I used data, ideas or words, either quoted directly or paraphrased. I also certify that this paper was prepared by me specifically for this course. Sign Parker Altman

Instructor grade:

Instructor Comments:
Discuss the significance of Queuing Theory. What are the different types of queuing systems? (Max 300 words - 25% of grade). Queuing theory is the mathematical study of waiting lines, using models to show results, and show opportunities, within arrival, service, and departure processes. Using queuing theory a company is able to significantly improve their customer service. There is an increasing service delay in the system as it gets more and more congested. Queuing theory provides all of the tools that one would need for analysis. Types of Queuing systems

* Single channel single phase
* A truck that is unloading shipment into a single dock. * Single line multiple phase
* McDonalds drive-thru where you have an order and then a pay/pickup window. * Multiple line single phase
* Walgreens pharmacy with two lines where you can order or pick up. * Multiple line multiple phase
* Security at an airport usually has multiple lines and multiple phases.

Examine the importance of queuing system configurations (Max 300 words - 25%) There are three types of queuing configurations that are most commonly used. The common configurations are multiple queue, single queue and first come first serve. Each configuration can be preferred depending on different situations. Multiple queue

...TOPIC VII
QUEUINGTHEORY
Definition
A queue can be defined as items awaiting service. Queues may consist of people, cars, components awaiting machining, telephone calls, aeroplanes, indeed any discrete items.
Queues form when the rate of arrival of items requiring service is greater than the rate of service.
Queuingtheory can be defined as the construction of mathematical models of various types ofqueuing systems so that predictions may be made about how the system works with the demands made upon it.
Applications
Queuingtheory may be applied in the following areas:
a) Shop counters. Customers arrive at varying intervals requiring service which takes a variable time. What is number of assistants that will maximize profit, or provide the best service?
b) Telephone exchange. The smaller the exchange the lower the cost but the greater the congestion. The larger the exchange the higher the costs but with reduced congestion.
c) Parts stores. Production workers waiting to draw out parts. What is the appropriate number of service points and staff to produce lowest overall cost?
d) Airport runways. How many runways are needed to provide landing facilities after a reasonable queue time?
Terms used in QueuingTheory
Customer- persons or units arriving at a station or service
Service station-...

...Waiting Line Models
The Structure of a Waiting Line System
Queuing Systems
Queuing System Input Characteristics
Queuing System Operating Characteristics
Analytical Formulas
Single-Channel Waiting Line Model with Poisson
Arrivals and Exponential Service Times
Multiple-Channel Waiting Line Model with Poisson
Arrivals and Exponential Service Times
Economic Analysis of Waiting Lines
Slide 1
Structure of a Waiting Line System
Queuingtheory is the study of waiting lines.
Four characteristics of a queuing system are:
•the manner in which customers arrive
•the time required for service
•the priority determining the order of service
•the number and configuration of servers in the
system.
Slide 2
Structure of a Waiting Line System
Distribution of Arrivals
•Generally, the arrival of customers into the system is
a random event.
•Frequently the arrival pattern is modeled as a
Poisson process.
Distribution of Service Times
•Service time is also usually a random variable.
•A distribution commonly used to describe service
time is the exponential distribution.
Slide 3
Structure of a Waiting Line System
Queue Discipline
•Most common queue discipline is first come, first
served (FCFS).
•An elevator is an example of last come, first served
(LCFS) queue discipline.
•Other disciplines assign priorities to the...

...QUEUINGTHEORY
INTRODUCTION
Waiting lines are the most frequently encountered problems in everyday life. For example, queue at a cafeteria, library, bank, etc. Common to all of these cases are the arrivals of objects requiring service and the attendant delays when the service mechanism is busy. Waiting lines cannot be eliminated completely, but suitable techniques can be used to reduce the waiting time of an object in the system. A long waiting line may result in loss of customers to an organization. Waiting time can be reduced by providing additional service facilities, but it may result in an increase in the idle time of the service mechanism.
Queuingtheory is based on mathematical theories and deals with the problems arising due to flow of customers towards the service facility
The waiting line models help the management in balancing between the cost associated with waiting and the cost of providing service. Thus, queuing or waiting line models can be applied in such situations where decisions have to be taken to minimize the waiting time with minimum investment cost.
Basic terminology
Queuing Model
It is a suitable model used to represent a service oriented problem, where customers arrive randomly to receive some service, the service time being also a random variable.
Arrival
The statistical pattern of the arrival can be indicated through the...

...Introduction
Being in a queue (waiting line) 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 waiting lines (Anderson et.al, 2009). A basic Queuing Model structure consists of three main characteristics, namely behaviour of arrivals, queue discipline, and service mechanism (Hillier and Lieberman, 2001).
In this assignment, New England Foundry’s queuing problem will be solved in Excel, and then, time and cost savings will be identified.
First of all, current and new situation will be analysed in order to demonstrate the queuing model by using Kendall’s Notation (for the current queuing problem, queuing model is M/M/s). After that, arrival rate, queue size, and service rate will be defined, and added-in Excel file (Queuing models.xlsx). The results will be discussed at the end.
Description
New England Foundry (NEF) produces four different types of woodstoves for home use and additional products that are used with these four stoves.
Due to the increase in energy prices, George Mathison president of the company wants to change the layout to increase the production of their bestselling type of Warmglo III.
NEF has several operations in order to produce...

...QueuingTheory
Most restaurants want to provide
an ideal level of service wherein they
could serve their customers at the least
minimum time. However, as the
restaurant established its name to the
public, it makes a great queuing or
waiting line that most of the customers
do not want. Not all restaurants desire
for queue since it could make
confusions to them and because of their
losses from the customers who go away
and dissatisfied. For some time, adding
chairs and tables are not enough to
solve the queuing problem.
In the case of Tamagoya Noodle
House, they have this principle of
serving the customer with their high
quality ramen regardless of the number
of customers. In short, they are more on
the quality than the quantity; not on the
profit side but rather on the quality side.
But because they really want to
serve more customers especially those
ramen lovers who came from far places,
they want to solve these queuing
problems.
Service time distribution
Arrivals
Customer 3
Customer 2
Customer 1
Service
Facility
Queue
Fig. 1 Queuing System Configuration
Assumptions of the model:
Since Tamagoya Noodle House
uses a Single-Channel, Single-Phase
model in order to avoid confusion of
customer’s order. The model we used
assumes that seven conditions exist:
1. Arrivals are served on a First-in,
First-out basis....

...Evaluating the Theory of Constraint and QueuingTheory
Abstract
The Theory of Constraints and the QueuingTheory is something that all forms of businesses should be looking to exploit. The Theory of Constraints contends that all businesses have some form of constraint that keeps them from working at optimum efficiency. These constraints are found, reviewed, and corrected by a simple process of finding what to change, what to change to, and how to cause the change. The QueuingTheory can be applied in a similar fashion in businesses. In comparison, it attempts to point out inefficiencies similar to that of the Theory of Constraints; however, it seeks to accomplish these goals through a mathematical equation rather through a cause-effect-cause method.
The Theory of Constraints
Today, more than ever, change is essential to satisfying expectations. Customers expect higher product and service quality than the price they’re willing to pay to acquire those products and services (AGI-Goldratt Institute, n.d.). Since it began roughly 20 plus years ago as a manufacturing scheduling method, the Theory of Constraints (TOC) methodology has now evolved into a systems methodology. The development of Theory of Constraints is credited in the main to Dr Eliyahu M. Goldratt, an Israeli...

...REVISED
M14_REND6289_10_IM_C14.QXD 5/12/08 1:01 PM Page 218
218
CHAPTER 14
WAITING LINE
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 answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. a. Find the proportion of the time that the employees are idle. b. Find the average number of people waiting in the system. c. Find the expected time a person spends waiting in the system. ANSWER: (servers). a. P 20/hour, 30/hour, M 2 open channels
SOLUTIONS TO DISCUSSION QUESTIONS AND PROBLEMS
14-1. The waiting line problem concerns the question of ﬁnding the ideal level of service that an organization should provide. The three components of a queuing system are arrivals, waiting line, and service facility. 14-2. The seven underlying assumptions are: 1. Arrivals are FIFO. 2. There is no balking or reneging. 3. Arrivals are independent. 4. Arrivals are Poisson. 5. Service times are independent. 6. Service times are negative exponential. 7. Average service rate exceeds average arrival rate. 14-3. The seven operating characteristics are: 1. Average number of customers in the system (L) 2. Average time...

...R
Waiting Line 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 line for the ﬁrst available server.) Teaching Suggestion 14.2: Cost of Waiting Time from an Organizational Perspective. Students should realize that different organizations place different values on customer waiting time. Ask students to consider different scenarios, from a drive-through restaurant to a doctor’s ofﬁce to a registration line in their college or motor vehicle ofﬁce. It becomes clear that organizations place different values on their customers’ time (with most colleges and DMVs unfortunately placing minimal cost on waiting time). Teaching Suggestion 14.3: Use of Poisson and Exponential Probability Distributions to Describe Arrival and Service Rates. These two distributions are very common in basic models, but students should not take their appropriateness for granted. As a project, ask students to visit a bank or drive-through restaurant and time arrivals to see if they indeed are Poisson distributed. Note that other distributions (such as exponential, normal, or Erlang) are often more valid. Teaching Suggestion 14.4: Balking and Reneging...