Chapter 4. Costs and Cost Minimization
Problem Set
1. Suppose the production of airframes is characterized by a CES production
function: Q = (L + K)2. The marginal products for this production function are
MPL = (L + K)L and MPK = (L+ K)K. Suppose that th
Networks
Any large project will involve the completion of a number of smaller jobs or tasks.
Some of these tasks can be started straight away, some need to await the
completion of other tasks and some tasks can be done in parallel. A network is a
way of i
Golden Section Logic
f(x1) > f(x2)
d
d
d=R*(xU xL)
f2
xL
f(x2) > f(x1)
R=0.61803398
f1
xU
x2 x1
xL x2
d
x1
f2
f1
xL
xL
xU
x2 x1
x1 xU
x2
d = Rd
d
xU
GoldenSection Search for Maximum f(x)=1+2x3x2
d=R*(xUxL)=1.5*0.61803=0.9271
Initial Values
xL
x2
f(x2)
Vol. 43, No. 3, MayJune 2013, pp. 240255
ISSN 00922102 (print) ISSN 1526551X (online)
http:/dx.doi.org/10.1287/inte.1120.0671
2013 INFORMS
Optimizing Fire Station Locations for the
Istanbul Metropolitan Municipality
Emel Akta
s
Brunel Business School,
Deterministic Dynamic programming
Equipment Replacement
1 An auto repair shop always needs to have an engine analyzer available. A new engine
analyzer costs $1000. The cost Ci of maintaining an engine analyzer during the ith year of
the operation is as f
TaxShieldEducationCentre.
CostAccounting  1
NETWORK ANALYSIS
A project can be defined as a set of activities or jobs that are performed in a certain sequence
determined logically or technologically and it has to be completed within (I) a specified time,
Flow Systems,
Activity Relationships,
Space Requirements
Based on:
Facilities Planning; Tompkins, White, Bozer, Tanchoco; 4th Edition
Chapter 3
Flow Systems
Flow: movement of goods, materials,
energy, information, and/or people.
Introduction
IIKIE
Flow Sy
Tutorial 5 (Sampling distribution)
Standard deviation for is
Standard deviation / standard error for is
1)
At a computer manufacturing company, the actual size of computer chips is normally
distributed with a mean of 1 centimeter and a standard deviation
The this spreadsheet contains VBA for a combined linear congruential random
number generator as described in Chapter 7, and randomvariate generation
algorithms described in Chapter 8, of Banks Carson, Nelson and Nicol, DiscreteEvent
System Simulation, 5
Name,Surname:
ID:
Signature:
19 Novenber 2007
IE 333
Quiz # 2 / Section 1 & 2
1. Horizon Cable is about to expand its cable TV offerings in Smalltown by
adding MTV and other exciting stations. The activities in the table must be
completed before the servi
CHAPTER 8: MANAGING FLOW VARIABILITY: SAFETY
CAPACITY
8.1 Objective
The objective of this chapter is to give students an understanding of how variability in inflows and
processing can lead to long flow times. In chapter 7 we have focused on make to stock
1. The scores on a placement test given to college freshmen for the past five years are approximately
normally distributed with a mean = 74 and a variance = 8. Would you still consider = 8 to be
a valid value of the variance if a random sample of 20 stude
BR MATRSN TERSNN NMERK
YNTEMLERLE BULUNMASI
MATRSN TERSNN BULUNMASI
1)Matrisin Tersinin Bulunabilmesi in Gerekli Bilgiler
Minr :
herhangi bir eleman olsun. Bu elemann minr; elemann bulunduu i.satr ve j.
stun silindiinde geriye kalan matrisin determinantna
MA 20002 ASSIGNMENT NO. 8
1. A certain type of thread is manufactured with a mean tensile strength of 78.3 kg and a
s.d. of 5.6 kg. How is the variance of the sample mean changed when the sample size
is (a) increased from 64 to 196 ? (b) decreased from 78
1. For each of the following layout computer algorithms, identify all the closely
related terminologies by numbers. (20pts)
(a) CRAFT (
)
(b) ALDEP (
)
(c) CORELAP (
)
(1) Construction type
(2) Improvement type
(3) Relationship chart
(4) From To Chart
(5)
Source: Facilities Planning by Tompkins, et. al. 3rd Edition
309
6.4 ALGORITHMIC APPROACHES
The relative placement of departments on the basis of their "closeness ratings" or "material flow intensities" is one that can be
reduced to an algorithmic process
7
"
1 :
Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The
Memphis factory can produce up to 150 widgets per day, and the Denver factory can
produce up to 200 widgets per day. Widgets are shipped by air to customers in
MATH200, WORKSHEET I
1.
x1 + x2 + 6 x3 = 6
2x1 + 3x2 + (m + 10)x3 = 14
x1 + 2x2 + (m2 + m)x3 = 3m 2
For which value of m the system
(a) has no solution
(b) has innitely many solutions
(c) has exactly one solution
2. Solve the above system for m = 2 by usi
Activity
Immediate
Predecessors
Duration(days)
A: Build foundation

5
B: Build walls and
ceilings
A
8
C: Build roof
B
10
D: Do electrical wiring
B
5
E: Put in windows
B
4
F: Put on siding
E
6
G: Paint house
C, F
3
47
ET ( j 1) + t j 1, j
ET ( j ) = max