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University of Florida | ESI 4313
Operations Research 2
Professors
- Aitsahlia,farid,
Relevant Courses
15 sample documents related to ESI 4313
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University of Florida ESI 4313
ESI 4313 Operations Research 2 Markov Chains Basics Stochastic processes For the last part of OR2, we will leave the general area of optimization In the remaining weeks we will talk about describing and analyzing systems under uncertainty We -
University of Florida ESI 4313
ESI 4313 Exam II Solution 1. (40 points) A total of 160 hours of labor are available each week at $15/hour. Additional labor can be purchased at $25/hour. Capital can be purchased in unlimited quantities at a cost of $5/unit of capital. If K units of -
University of Florida ESI 4313
ESI 4313 EXAM 1 SOLUTION 1. No, if f (x) < 0, it will be a local maximum, but not necessarily a global maximum. If f (x) = 0 we don\'t know whether it is a maximum or a minimum. Therefore, for all points that satisfy f (x) = 0 and f (x) < 0 we have t -
University of Florida ESI 4313
ESI 4313 Spring 2009 HW # 1 Due in class Friday, Jan. 23, 2009 1. Read Section 11.1 and do problems 8 and 9 on page 615. 2. Recall the transport of hazardous waste problem discussed in class. For this problem, we will refer to lecture notes set # 2 p -
University of Florida ESI 4313
Page 629 Problem 8 max = 10*x1^0.4+8*x2^0.5+12*x3^0.3+16*x4^0.6; x1+x2+x3+x4<=100; x1>=0; x2>=0; x3>=0; x4>=0; end Local optimal solution found at iteration: Objective value: 123 286.9871 Variable X1 X2 X3 X4 Row 1 2 3 4 5 6 Problem 9 Value 4.53524 -
University of Florida ESI 4313
ESI 4313 Practice Exam I February 21, 2009 1. Is the following statement correct (assuming f is differentiable enough): a point x satisfying f (x ) = 0 and f (x ) 0 is always a global maximum for f ? 2. A company manufactures two products. For produ -
University of Florida ESI 4313
Practice questions for Exam 1 ESI 4313-Fall 2008 1. Let q = f (p) be the demand for a product when the price is p. For a given price p, the price elasticity E of the product is defined by E= percentage change in demand percentage change in price q q -
University of Florida ESI 4313
ESI 4313 Spring 2009 HW # 2 Due in class Friday, February 06, 2009 Read Section 11.2 and do problems 8, 9, 10, and 11 on page 629. 1 -
University of Florida ESI 4313
ESI 4313 Spring 2009 HW # 3 Due in class Friday, February 20, 2009 Do the following problems. 9 and 10 on page 636; 6 on p. 648 (solve this problem two ways: (i) with LINGO, and (ii) with the approach described in section 11.4); 2 on p. 659; 3 on p. -
University of Florida ESI 4313
ESI 4313 HOMEWORK 3 SOLUTIONS #9, p. 636. f (x1 , x2 , x3 ) = -x2 - x2 - 2x2 + 0.5x1 x2 for S= , then 1 2 3 f x1 2 f x2 1 2 = -2x1 + 0.5x2 , = -2, = 2 f x2 2 2 f x2 2 f = -2x2 + 0.5x1 , x3 = -4x3 , = -2, f = -4, x2 3 f x1 x2 f x2 x1 = 0.5, -
University of Florida ESI 4313
ESI 4313 Spring 2009 HW # 4 Due in class Friday, March 6, 2009 (May be turned in earlier in Weil 472 (Instructor\'s office) Do the following problems. 4 on page 669 (solve this problem two ways: (i) with LINGO, and (ii) with KKT conditions); 7 on p -
University of Florida ESI 4313
ESI 4313 Operations Research 2 Nonlinear Programming One Dimensional Problems Recap Nonlinear programming Role of convexity/concavity Modeling Structure of optimal solutions Local and global optimal solutions Can guarantee that a local opt -
University of Florida ESI 4313
ESI 4313 Operations Research 2 Review of Calculus (Lecture 1) Section 11.1 from Winston Limit Definition: The equation lim f ( x) = c means that as x gets closer to a (but not equal to a), the value of f(x) gets arbitrarily close to c xa Bot -
University of Florida ESI 4313
ESI 4313 Operations Research 2 Nonlinear Programming Model (Lecture sets 4&5) Differences between LP and NLP The feasible region of an LP is always a convex set. Isocost/profit curves are straight lines (or planes) in fact, a polyhedron -
University of Florida ESI 4313
ESI 4313 Spring 2008 Homework Assignment # 7 Due in class on April 23, 2008. NOTE: This assignment is optional. Any score obtained for this HW will replace the lowest of the first 6 if it is better. Do the following problems: #2 on page 974 #2 on
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