IOE 440 - Fall 2015
Homework Assignment 4
Due in class, October 22nd.
Please be as clear as possible in your solutions, being sure to show all your work.
Calculate up to 4 decimals when you calculate service levels or probabilities.
1. [5 points] What is

IOE 440 - Fall 2015
Homework Assignment 4 Solutions
Due in class, October 22nd.
Please be as clear as possible in your solutions, being sure to show all your work.
Calculate up to 4 decimals when you calculate service levels or probabilities.
1. [5 points

Capacity Management Teaching Note
September 5, 2006
1
Introduction
Capacity Management is one of the most fundamental topics in the management of operations
and business processes. This note introduces the subject from a managerial perspective, providing

Name:
Haj Draw the system as a pipelinetmir diagram {edit this spreadsheet and diagram as needed].
Desired System TH =115j n - 1-
Cyole Time
System CT = ???
a
1rd} Which station is the W
Matias-abach capacity??? per hour
-1¢]Canthe stem eneret

IOE 440 - Fall 2014
Homework Assignment 8 Solutions
Due in class, December 4, 2014.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all parts of the homework and signs
the

IOE 440 - Fall 2015
Homework Assignment 3
Due in class, October 8, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
1. [2 point] Consider the following situations. Label them as either A for appropriate or L for
le

IOE 440 - Fall 2015
Homework Assignment 3
Due in class, October 8, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
1. [2 point] Consider the following situations. Label them as either A for appropriate or L for
le

IOE 440 - Fall 2015
Homework Assignment 7 Solutions
Due at the beginning of class, November 19, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the h

IOE 440 - Fall 2015
Homework Assignment 5 Solutions
Due in class, November 5, 2014.
Please be as clear as possible in your solutions, being sure to show all your work.
1. [5 points] Is it possible for a line to have the same throughput with both high WIP

IOE 440 - Fall 2015
Homework Assignment 1
Due Tuesday, September 22 at 3:00 p.m.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the homework and
signs the

Sheet 1 of ANSWER TEMPLATE.
Names:
1(a) Draw the system as a pipeline/flow diagram (edit this spreadsheet and diagram as needed).
Hours
1
2
Station # 4
Station # 2
Station # 1
0
Station # 3
.
Capacity
.
.
.
.
Desired System TH = 115 jobs/hr
3
Cycle Time
4

Production Principles &
Basic Factory Dynamics
Lecture 1/2
Huanan Zhang
IOE 440
1
Factory Dynamics
Physics should be explained as simply as possible,
but no simpler.
Albert Einstein
Huanan Zhang
IOE 440
2
Beset By a Blizzard of Buzzwords
TBC: Time-based

Variability - Part I
Huanan Zhang IOE 440
1
Today
Variability Introduction
Process Time Variability
Causes of Variability
Flow Variability
Huanan Zhang IOE 440
2
Formulas for Effective Process Time
Situation
Natural
Preemptive
Nonpreemptive
Example
Re

Introduction to Supply Chain
Management
Huanan Zhang IOE 440
1
Where We Are
1) Gain knowledge of a modeling hierarchy beginning with
deterministic and stochastic models of capacity, system
capacity, line balancing, inventory control, and the role of
varia

Variability - Part II
Huanan Zhang IOE 440
1
Variability Interactions
Importance of Queueing:
manufacturing plants are queueing networks
queueing and waiting time comprise majority of cycle time
System Characteristics:
Arrival process
Service process

Production Principles &
Basic Factory Dynamics
Lecture 2/2
Huanan Zhang IOE 440
Last Class
Push vs Pull Systems
Reminder of:
Bottleneck Rate (rb) (jobs/hour)
Raw Total Process Time (T0) (hours)
Huanan Zhang IOE 440
Today
Best case performance
Worst

Variability - Part III
Huanan Zhang IOE 440
1
Today
G/G/m Queue
Effects of Blocking
M/M/1/b Queue
Variability Pooling
Three Buffering Mechanisms against
Variability
Huanan Zhang IOE 440
2
The G/G/1 Queue
Formula:
CTq (G/G/1) V U T
ca2 ce2 u
te
2

IOE 440 - Fall 2015
Homework Assignment 2
Due at 3:00 p.m., September 29, 2015
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the homework and
signs the s

IOE 440 - Fall 2015
Homework Assignment 6 Solutions
Due in class, November 12, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
1. [4 points] What is the rationale for using the coecient of variance c instead of th

Module 6: Sensitivity Analysis for Linear Programming
IOE 202: Operations Modeling
Module 6: Sensitivity Analysis for
Linear Programming
Nejat Karabakal
Industrial and Operations Engineering
University of Michigan
Ann Arbor, MI 48109
Winter 2014
IOE 202,

Module 3: Linear Programming (LP)
IOE 202: Operations Modeling
Module 3: Linear Programming (LP)
Nejat Karabakal
Industrial and Operations Engineering
University of Michigan
Ann Arbor, MI 48109
Winter 2014
IOE 202, Winter 2014, Karabakal
Module 3: Linear

IOE 440 - Fall 2016
Homework Assignment 1
Due Tuesday, September 20 at 3:00 p.m.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the homework and
signs the

IOE 440 - Fall 2015
Homework Assignment 5
Due in class, November 5, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
1. [5 points] Is it possible for a line to have the same throughput with both high WIP with high

IOE 440
Homework 2 Solutions
1. [25 points]
a. 71.11 units of A and 44.44 units of B will produce a maximum of $5422.22. This
is assuming fractional units can be produced.
b. A price drop of no greater than $20.00 for A will not change the optimal product

IOE 440 - Fall 2015
Homework Assignment 7
Due at the beginning of class, November 19, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the homework an

IOE 440 - Fall 2015
Homework Assignment 8
Due in class, December 10, 2015.
Please be as clear as possible in your solutions, being sure to show all your work.
Also make sure that each group member works on all the parts of the homework and
signs the submi

IOE 452
University of Michigan
Assignment 4
Fall 2016
Electronic Submission, November 5, before 7:00 PM
Q1Chapter 5: P. 13 (10 pts)
Q2Chapter 5: P. 14 (10 pts)
Q3Chapter 5: P. 18 (15 pts)
Q4Chapter 6: P. 7 (10 pts)
Q5Chapter 6: P. 10 (10 pts)
Q6Chapter 6: