ESI 6314 Deterministic Methods in Operations Research Lecture Notes
University of Florida Department of Industrial and Systems Engineering / REEF
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The transportation simplex method
Previously, we have considered three dierent methods for nding a bfs f

Assignment Problems
Example
Machineco has four jobs to be completed. Each machine must be assigned to complete one job. The time required to setup each machine for completing each job is shown in the following table (also called the cost matrix): Job 1 14

ESI 6314 Homework #1 Solutions Problem 1
x1 = Number of Type 1 Trucks produced daily x2 = Number of Type 2 Trucks produced daily Expressing profit in hundreds of dollars we obtain the following formulation: max z = 3x1 + 5x2 s.t. x1/800 + x2/700 1 (Paint

2007 OEM DMOR Homework #1: Six questions, each worth 10 points. Due Monday, September 3rd (by 11:59pm, EDT) Question 1: Formulate the following problem as a linear program (write or type as a mathematical programming formulation). Our manufacturing plant

UF-ESI-6314bf35e009fab178535aa325eafe98b713009edf31.xls Problem Statementpage 1 of 9
Questions 3 through 9 (5 points each). Now, the remaining questions are related to sensitivity analysis. Consider the following example.
I am trying to figure out how to

ESI 6314 Sample Exam #1 1. Comfortable Hands is a company which features a product line of winter gloves for the entire family men, women, and children. They are trying to decide what mix of these three types of gloves to produce. Comfortable Hands manufa

ESI 6314 Sample Exam #1 Solutions 1. Comfortable Hands is a company which features a product line of winter gloves for the entire family men, women, and children. They are trying to decide what mix of these three types of gloves to produce. Comfortable Ha

Sample Exam # 2 solutions ESI 6314 Deterministic Methods in Operations Research 1. (20 points) Valdosta Tile Co. has two clay mining pits, P1 and P2, each of which supplies 15 tons of clay per month to three tile making kilns, K1, K2 and K3, each of which

Sample Exam # 2 ESI 6314 Deterministic Methods in Operations Research 1. (20 points) Valdosta Tile Co. has two clay mining pits, P1 and P2, each of which supplies 15 tons of clay per month to three tile making kilns, K1, K2 and K3, each of which require 1

ESI 6314
y1 y2 1 2 Midterm Exam 2 1 Deterministic Methods in Operations -1
isoprofit line
Research
ver. 1
October 21, 2009 Instructor: Dr. Vladimir L. Boginski Research and Engineering Education Facility University of Florida
Duration: 75 minutes Rules: C

ESI 6314 Practice Problems for Chapter 12 Solutions Section 12.4: Problem 1 Let f(x) = profit if $x is spent on advertising. Then f(0) = 0 and for x>0, f(x) = 300x1/2 - 100x1/2 - 5000 - x. Since f(x) has no derivative at x = 0, maximum profit occurs eithe

ESI 6314
Deterministic Methods in Operations Research
Fall 2010 Periods and Location: REEF Section: MW 1:30-3:30PM, REEF 110 Gainesville Section: MTWR 1st period, NEB 102 Text: W. Winston and M. Venkataramanan, Introduction to Mathematical Programming, 4t

Nonlinear Programming (contd)
Difficulties of NLP Models
Linear Program:
Nonlinear Programs:
Graphical Analysis of Non-linear programs in two dimensions: An example
Minimize subject to
( x 14) + ( y 15)
2
2
(x - 8)2 x x x +y
+ (y - 9)2 49 2 13 24
Where is

Chapter 12
Non-Linear Programming
Linear Programming Model
Maximize c1 x1 + c2 x2 + . + cn xn ASSUMPTIONS: subject to a11x1 + a12 x 2 + . +a1n xn b1 Proportionality a 21x1 + a 22 x 2 + . +a 2n xn b 2 M M M am1x1 + a m 2 x 2 + . +amn xn bm x1 , x2 , ., xn

ESI 6314 Homework #1 Solutions Problem 1
x1 = Number of Type 1 Trucks produced daily x2 = Number of Type 2 Trucks produced daily Expressing profit in hundreds of dollars we obtain the following formulation: max z = 3x1 + 5x2 s.t. x1/800 + x2/700 1 (Paint

ESI 6314 Deterministic Methods in Operations Research Fall 2010 HW 3 Assigned: Due: 10/04/2010 10/14/2010
Reading: Book, Chapters 5, 6 Problems: 1. (10 points) Problem 3, page 210 [Refer to the LP formulation given on page 85, set up the problem in Excel,