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21 pages
 Ch02
 University of Florida
 Operations Research 1
 ESI 4313  Spring 2008
 1 MP CHAPTER 2 SOLUTIONS Section 2.1 1 2 5 8 3 6 9 1a. A= 4 7 1b. 3A= 3 6 9 12 15 18 21 24 27 1c. A+2B is undefined. 1 4 7 2 5 8 3 6 9 1d. AT= 1e. BT= 1 2 0 1 1 2 4 6 1f. AB= 10 15 16 24 1g. BA is undefined. 2. y y y 1 2 3 .50 0
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Ch02

9 pages
 hw5solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 5 Problem 1 The Markov chain with transition probabilities listed below is in state 3 immediately before the rst trial. p1,1 = p2,2 = 0.4, p1,2 = p2,1 = 0.6, p3,2 = 0.5, p3,3 = 0.2, p3,4 = 0.3, p4,5
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hw5solution

5 pages
 hw4solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 4 Problem 1 Machine 1 is currently working. Machine 2 will be put in use at a time t from now. If the lifetime of machine i is exponential with rate i , i = 1, 2, what is the probability that machine
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hw4solution

3 pages
 hw4questions
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 4 Problem 1 Machine 1 is currently working. Machine 2 will be put in use at a time t from now. If the lifetime of machine i is exponential with rate i , i = 1, 2, what is the probability that machine
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hw4questions

3 pages
 hw2questions
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 2 Problem 1 Nick shops for probability books for K hours, where K is a random variable that is equally likely to be 1, 2, 3, or 4. The number of books N that he buys is random and depends on how long
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hw2questions

10 pages
 hw2solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 2 Problem 1 Nick shops for probability books for K hours, where K is a random variable that is equally likely to be 1, 2, 3, or 4. The number of books N that he buys is random and depends on how long
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hw2solution

8 pages
 hw1solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 1 Problem 1 Fully explain your answers to the following questions. (a) If events A and B are mutually exclusive and collectively exhaustive, are A and B mutually exclusive? Answer: A B = A B = = .
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hw1solution

4 pages
 hw3solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 3 Problem 1 Let Y be exponentially distributed with parameter 1 and let Z be uniformly distributed over the interval [0, 1]. Use convolution to nd the PDF of Y Z. Answer: Let W = Z. Then W is a ran
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hw3solution

2 pages
 hw3questions
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 3 Problem 1 Let Y be exponentially distributed with parameter 1 and let Z be uniformly distributed over the interval [0, 1]. Use convolution to nd the PDF of Y Z. Problem 2 The joint density of X a
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hw3questions

3 pages
 hw1questions
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 1 Problem 1 Fully explain your answers to the following questions. (a) If events A and B are mutually exclusive and collectively exhaustive, are A and B mutually exclusive? (b) If events A and B are
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hw1questions

35 pages
 Ch05
 University of Florida
 Operations Research 1
 ESI 4313  Spring 2008
 1 SOLUTIONS TO MP CHAPTER 5 PROBLEMS SECTION 5.1 1. Typical isoprofit line is 3x1+c2x2=z. This has slope 3/c2. If slope of isoprofit line is <2, then Point C is optimal. Thus if 3/c2<2 or c2<1.5 the current basis is no longer optimal. Also if th
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Ch05

56 pages
 Ch04
 University of Florida
 Operations Research 1
 ESI 4313  Spring 2008
 1 MP CHAPTER 4 SOLUTIONS SECTION 4.1 1. max z = 3x1 s.t. 2x1 x1 x1 + + + + 2x2 x2 + s1 = 100 x2 + s2 = 80 s3 = 40 2. min z = 50x1 + 100x2 s.t. 7x1 + 2x2  e1 = 28 2x1 + 12x2  e2 = 243. min z = 3x1 + s.t. x1 x1 + 2x1 x2 e1 = 3 x2 + s2 = 4 x2 = 3 3
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Ch04

27 pages
 Ch03rp
 University of Florida
 Operations Research 1
 ESI 4313  Spring 2008
 1 CHAPTER 3 MP REVIEW PROBLEMS 1. Let x1 = barrels of beer produced x2 = barrels of ale produced Then we should solve max z = 5x1 + 2x2 s.t. 5x1 + 2x2 60 2x1 + x2 25 x1, x2 0 Graphically we find the optimal solution to be z = 60, x1 = 10, x2 = 5, x1
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Ch03rp

42 pages
 Ch03
 University of Florida
 Operations Research 1
 ESI 4313  Spring 2008
 1 MP CHAPTER 3 SOLUTIONS SECTION 3.1 1. max z = s.t. 30x1 x1 4x1 10x1 x1 + 100x2 + x2 7 (Land Constraint) + 10x2 40(Labor Constraint) 30(Govt. Constraint) 0, x2 0 2a. No, government constraint is violated. 2b. No; Labor constraint is not satisfied.
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Ch03

13 pages
 hw7solution
 University of Florida
 OPERATIONS RESEARCH 2
 ESI 4313  Spring 2015
 S15 ESI 4313: Operations Research 2 Homework Assignment 7 Problem 1 We consider a family of Markov chains which are given by unidirectional rings with two escape points, i.e., pick N > 2 and 0 < p < 1, and consider the Markov chain with states E = cfw_0,
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hw7solution