ISE 2404
Topic #15: Transportation Problems
Reading: Winston & Venkataramanan Sections 7.1-7.3
At this point, we have completed our discussion of linear programming. The remainder of
the course will focus on optimization techniques for problems that can b
ISE 2404
Topic #20: Project Scheduling Networks
Reading: Winston & Venkataramanan Section 8.4
In Topic #18, we discussed shortest and longest path problems. We now discuss a popular
application area for longest path problems: project management. These pro
ISE 2404
Topic #19: Max Flow Problems
Reading: Winston & Venkataramanan Section 8.3
We continue our discussion of network problems in Chapter 8 by addressing max flow
problems. In these problems, we are trying to see how much material we can force through
ISE 2404
Topic #17: Transshipment Problems
Reading: Winston & Venkataramanan Section 7.6
We conclude our discussion of Chapter 7 by addressing a type of problem known as a
transshipment problem. This problem is not a transportation problem, since the grap
ISE 2404
Topic #16: Assignment Problems
Reading: Winston & Venkataramanan Section 7.5
We now discuss assignment problems, which often deal with pairing up a particular
individual with a particular task. Assignment problems can be thought of as transportat
ISE 2404
Topic #18: Shortest Path Problems
Reading: Winston & Venkataramanan Section 8.2
We are nearing the end of this course! For the remaining lectures, we will study Chapter 8
of our textbook. We will discuss a series of problems that can be formulate
ENGR 4134 Environmental Life Cycle Analysis & Materials Selection
Spring 2017
HW 6 Labels, Rating, and LCA Interpretation (38 points)
Assigned:
Due:
1.
Tuesday, April 17th
Tuesday, April 25th
Use the Interface Modular Carpet Tile EPD and EPD Transparency
1
1a. 96 stations cycle time: 100 sec. 1 8-hr shift, 12 stops/day and each one take no more than 5.5 min
Flow time single line, no stops= 96*(100/60)= 160 min.
In 2.67 hr., we have (8/12)*2.67=1.78 stops
Therefore, flow time with stops= 160+1.78*5.5= 169.
1. Culture is a major influence on the cost of doing because international. No two nations are the
same. Every country has a different past and different culturally beliefs today, which makes it
very difficult to do business international. Below is a mode
1. The 5S activity associated with this is sort. The three main criteria for determining if you need an
item is determining if it is needed to perform work at hand, determining the frequency at which
the item is needed and determining the quantity of the
1
1. Henry Fords manufacturing approach was called mass production. The first step to this was
allowing interchangeable parts on a large scale. This was done through new machining practices,
which allowed the machining of pre-hardened parts, and standard
1. In this problem, two major assumptions have been made. The first is for a machine to be
considered it must have a minimum of 90 score on the performance rating because, since our
company is a lean operation, the goal is to reduce waste. We also made th
1a. This observation affects the attractiveness of a single warehouse idea because it requires a huge
warehouse to satisfy that kind of volume. They talked about having one of the old facilities become
the certain warehouse, but it is probably not possibl
3. One benefit for the studios of lowering the price and taking a percentage of the revenue is
taxes. Instead of having your earnings occur all at once, the studios spreading out their
earnings over time thus lowering their tax bracket and decreasing the
1. Lantech created and manufactured the first stretch wrapping machines. These products were
rather complex and difficult to make due to the fact that they were highly customizable. The
employees here were unskilled employees who were divided into departm
ISE 3624 - Industrial
Ergonomics
Overview
This course focuses on improving the
performance, productivity, and safety of
people at work.
Application of the course material is
necessary for 'optimal' design of work
involving humans.
Knowledge of the course
1. The Production Game:
The Production Game was a video that showed the entire process in order to manufacture
goods starting with the customer placing an order for a certain color and size of cardstock. During
the process, everything went wrong, mostly b
1.
Problem Statement: Using the same approach as wire that shown in section 6.5 for wire
drawing, show that the extrusion pressure is given by the expression:
A cot
tan ( )
p=Y 1+
1 0
.
Af
)( ( ) )
(
Assumptions:
We can use equilibrium of stress in the x
1.
Problem Statement:
You can produce a parking token by two alternative methods. First, cut a 10 mm
diameter billet to a length of 10 mm, and then closed-die forge it to the final size and
shape (25 mm diameter). Second, you could start with a sheet of m
Problem Statement:
A strip of material 200 mm wide and initially 1.6 mm thick is being rolled to a thickness of
1.2 mm. The rollers are both 300 mm in diameter.
(a) Find the speed, Vr, at the neutral point if the rolls are turning at 300 rpm. (b) Find the
1.
Problem Statement:
Suppose you needed to reduce the diameter of a long rod by 20% and could choose
between drawing it or extruding it through the same die. Assume that the friction
conditions are the same, but not zero. Would each process require the s
Problem Statement: Consider the definition of Poissons Ratio (page 31 of K&S.), and prove
that if a material deforms plastically (that is, with no change in volume), then = 1/2,
exactly.
Assumptions: We are using a cube and defining the original length to
1. Problem Statement:
Figure 8.4 (a) of K&S shows a section taken from the machining of 60-40 brass at 670 ft/min. Notice that
the width of the shear zone is about 10% of the depth of cut, which is .008. Find the primary shear
strain, the primary shear st
1.
Problem Statement:
Show that, according to the distortion-energy criterion, the yield stress in plain
strain is 1.15Y, where Y is the uniaxial stress of the material.
Assumptions:
There is only one axis under stress.
2=0
3=0
Approach to solution:
From
1. Problem statement:
Please refer to Fig 2.15 of K&S. for this open-die forging problem. A strip of material
two inches wide, w, and initially 1/16 in. thick is compressed between flat dies to one half
its original height. The die length, b, is 1/4 inch.
1.
Problem Statement: If we assume that all the work done in plastic deformation is converted
to heat, the temperature rise in a workpiece can be found from Eq. 2.65. Using Fig. 2.6 and
Table 3.3, find the temperature rise at fracture (failure) for (a) ha
ISE 2404
Topic #11: Duality
Reading: Winston & Venkataramanan Sections 6.5, 6.7, 6.10
In this topic, we begin discussing the concept of duality. Duality is one of the most
important topics in optimization. It leads to important economic interpretations, a
ISE 2404
Topic #8: The Simplex Algorithm
Reading: Winston & Venkataramanan Sections 4.5 4.8, 4.11
In this topic, we talk about implementing the simplex algorithm in tableau form. First, we
motivate the process by a graphical example.
Graphical Motivation
ISE 2404
Topic #9: Artificial Variables
Reading: Winston & Venkataramanan Sections 4.12 4.13
Topic #8 covered all that can happen in a simplex tableau, assuming that we began the
algorithm with a starting basic feasible solution (BFS). We now develop an a