Markov Chain (HW#2)
Name: ID:
Consider the following model for the value of a stock. At the end of a given day, the price is recorded. If the stock
has gone up, the probability that it will go up tomorrow is 0.7. If the stock has gone down, the probabilit
Homework #4: Queuing systems II
Apr 3 [30%
1. Consider a queuing system consisting of three stations in series. Each station consists of a single
server, who can process an average of 20 jobs per hour (processing times are exponential). An
average of 10 j
Decision Making
1. We are thinking of lming the Don Harriett story. We know that if the lm is a op, we will lose $4
million, and if the lm is a success, we will earn $ 15 million. Beforehand, we believe that there is a
10% chance that the Don Harnett stor
Problem 1. Queuing Theory
1. Select a store that regular lines (Whataburger, Burger King, Starbucks, Bank, etc)
2. Select a specific hour and take times during that hour of the following parameters
A.
B.
C.
D.
E.
Arrival times (inside the store and in the
OR II
Exam # 2-Make up
Name: _ID:_
1. In the game of craps, we roll a pair of six-sided dice. On the first throw, if we roll a 7, 2 or 12, we
win right away. If we roll an 11, or 3, we lose right away. If we first roll a total of 4,5,6,8,9, or 10,
we keep
1.The wearout of a machine is normally distributed with 90 percent of the failures occurring
between 200 and 270 hr. of use (i.e., 5 percent below 200 hr. and 5 percent above 270 hr.). If
the system follows a normal distribution.
a) What is the probabilit
Probability Review Quiz (HW#1)
f
Name: 3 ' i
ID:
1. A electronic device has a failure process that is normally distributed. It has a mean of 15 working
days and a standard deviation of 2 days. Find:
i) The probability of failure before 78 hours?
ii) The p
Homework #3: Queuing systems I
1. Two one-man barber shops sit Side by side in Dunkirk Square. Each can hold a maximum of 4
people, and any potential customer who finds a shop full will not wait for a haircut. Barber 1
charges $11 per haircut and takes an
Homework #2: Discrete Markov chains
1. For each of the following chains, determine whether the Markov chain is ergodic. Also, for each
chain determine the recurrent, transient, and absorbing states
qn elalcs are (3,6,ng \ yes Ergolc
4 ll S'lqlei Communx
Homework #1: Probability Review .
1. A cutting tool wears out with a time to failure that is normally distributed. It has a mean of 10
working days and a standard deviation of 2.5 days. Find:
i) The probability of failure before day one?
ii) The probabili
Exam problems
Problems:
1. The wearout of a machine is normally distributed with 90 percent of the failures occurring
between 200 and 270 hr. of use (i.e., 5 percent below 200 hr. and 5 percent above 270 hr.). If
the system follows a normal distribution.
Discrete Markov chains
Test Problems
1. A forest consist of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. each
year, 40% of all 0-5 ft tall trees die, 10 % are s old for $20 each, 30% stay between 0 and 5 ft, and
20% grow
C ompany Name
Cont act First Name Cont act Middle Name
4 Princess Water
Marco
5 Star Mex Baker
Arturo
A & A Millwork Inc
Alfonso
C ont act Last Name
C ont act Suffix
Garcia
Nevarez
A
JR
Barcena
SR
Primary Address 1
Primary Address 2 Primary Cit y
Primary
Telemetry unit Discharges
Date: 3-21-12
Registered
Nurse
Lupe
Albie
Time DC Waiting Time Depart
HR:MIN Complete
Orders
Written
Waiting Time Discharge
HR:MIN Complete
Waiting Time
Time
Patient
HR:MIN Left Unit
10:48
16:35
11:06
19:50
Mari
13:03
1:33
14:36
Company Name
1 Ready One Industries
2 Stoneridge Electronics
3 Delphi Packard Electric
4 Autotronic Controls Corp
5 Hoover Co.
6 Boeing
7 Western Refining Inc
ALL Manufacturing Companies in El Paso
Product
Apparel Manufacturing: Uniforms
Highly Engineered
Company Name
AUTOTRONIC CONTROLS CORPORATION
Alamotransmissions
Auto Kabel of North America, Inc.
Braun Powerful Solutions, Inc.
Bernhard Hinrichs
Borgwarner Transmission Systems Inc
Autoflug Safety Systems, Inc.
Border Shield and Security Armor Inc.
Brau
Gasolines Performance - Proposal
Design of Experiment (IE 3477)
Professor: Tzu-Liang Tseng
Alma C Gutierrez
Miguel Serrato
Oscar Stephenson
Objective
Our goal in this experiment is to determine under what factors the greatest miles per
gallon can be attai
Alma Gutierrez
Miguel Serrato
Jose Lafon
Oscar Stephenson
Jorge Chavira
03/21/12
Types of automobiles at UTEP
Objective
Our goal is to analyze which characteristics the students and staff at The
University of Texas at El Paso are seeking when purchasing a
IE 4490 Operations Research II: Probabilistic Model and Queuing Systems
Spring-2011 Syllabus
Instructor:
How to Reach:
Office Hours:
Class schedule
Teaching Assistant:
TA Office Hours:
Prerequisite:
Textbook
Software:
Assignments:
Class Attendance:
Exams:
EI 4490 Operations Research II: Probabilistic Models
Sample EXAM 1
March 3rd, 2011.
J. Sanchez, Ph. D.
Name _ Date _
1) The time between process problems in a manufacturing line is exponentially distributed
with mean of 30 days.
a) What is the probability
Solution Hmwk 1
OR II Hmwk 1
3-108.
a) Let X denote the number of tremors in a 12 month period. Then, X is a Poisson
random
variable with = 6. 0.0413
b) =2(6) = 12 for a two year period. Let Y denote the number of tremors in a two year
period.
0.0255
c) =
University of Texas at El Paso
IE4490 Operations Research II
Sample Test 3
J. Sanchez, Ph. D.
Spring 2011
Name _ Date _
1.
Consider an automobile assembly line in which each car undergoes three
type of service: painting, engine installation and tire insta
Operation Research II
Describeanypedagogicalinnovationsthatyouintroducedintothiscourseduring
the current year (e.g., international issues, computer applications, ethical
analysis,newclassroomtechniques,etc.);
This course is a computer based lectured wit
EI 4490 Operations Research II: Probabilistic Models
EXAM 1
J. Sanchez, Ph. D.
Name: _ Date: March 9th, 2011.
Carefully read and solve the following problems and show your work.
1) The time between calls to a plumbing supply business is exponentially dist