'Linear program' presentation slideshows

Convex Relaxations of Non-Convex Mixed Integer Quadratically Constrained Problems

Convex Relaxations of Non-Convex Mixed Integer Quadratically Constrained Problems. Dr. Anureet Saxena Associate, Research Axioma Inc. (Joint Work with Pierre Bonami and Jon Lee) Dedicated to Prof. Egon Balas. TexPoint fonts used in EMF.

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Bin Packing: From Theory to Experiment and Back Again

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DECISION MODELING

DECISION MODELING. WITH MICROSOFT EXCEL. Chapter 3 Linear Optimization. Copyright 2001 Prentice Hall. Linear Optimization. A constrained optimization model takes the form of a performance measure to be optimized over a range of feasible values of the decision variables. .

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Warm-up: What to eat?

Warm-up: What to eat?. We are trying healthy by finding the optimal amount of food to purchase. We can choose the amount of stir-fry (ounce) and boba (fluid ounces). Healthy Squad Goals 2000 Calories 2500 Sugar 100 g Calcium 700 mg.

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15-381 / 681 Instructors: Fei Fang (This Lecture) and Dave Touretzky feifang@cmu

Artificial Intelligence: Representation and Problem Solving Optimization (3): (Mixed) Integer Linear Programming. 15-381 / 681 Instructors: Fei Fang (This Lecture) and Dave Touretzky feifang@cmu.edu Wean Hall 4126. Recap. Convex optimization is a convex function and is a convex set

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Lecture 2 & 3

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Combined B us and D river S cheduling C. Valouxis, E. Housos

Combined B us and D river S cheduling C. Valouxis, E. Housos Computers and Operation Research Journal Vol 29/3, pp 243-259 , March 2002. Problem Definition (1). Shift : a set of routes that will be performed by a bus and its driver in one day

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DEAR: Delay-bounded Energy-constrained Adaptive Routing in Wireless Sensor Networks

DEAR: Delay-bounded Energy-constrained Adaptive Routing in Wireless Sensor Networks. Shi Bai , Weiyi Zhang, Guoliang Xue , Jian Tang, and Chonggang Wang University of Minnesota, AT&T Lab, Arizona State University, Syracuse University, NEC Lab 2012 IEEE INFOCOM. Outline.

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Chapter 4

Chapter 4. Alternative Optimum Unbounded Solution Infeasible Solution . Chapter 4 unbound and infeasible solution. The Objectives this Chapter: Identify the problems which include more than one optimum solutions. Identify the problems which involve the unbounded solutions.

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Recurrences /

Recurrences /. Divide&Conquer. HW: 2.4 Quiz: 2.1, 4.1, 4.2, 5.2, 7.3, 7.4 Midterm: 8. given a recursive algorithm, state the recurrence solve a recurrence, using Master theorem given a recurrence and its solution, prove that the solution is correct

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Steady-state flux optima

Steady-state flux optima. R C. Flux Balance Constraints: R A < 1 molecule/sec (external) R A = R B (because no net increase) x 1 + x 2 < 1 (mass conservation) x 1 >0 (positive rates) x 2 > 0. C. x 1. R B. R A. A. B. x 2. D. R D. x 2. Max Z=3 at (x 2 =1, x 1 =0).

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Modeling Traffic in St. Louis

Modeling Traffic in St. Louis. By Julia Greenberger. Goals. To create a model of the traffic flow of cars traveling from Creve Coeur to downtown St. Louis To use this model to determine the maximum flow of cars from Creve Coeur to downtown St. Louis

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Traffic Matrix Estimation: Existing Techniques and New Directions

Traffic Matrix Estimation: Existing Techniques and New Directions. A. Medina (Sprint Labs, Boston University) , N. Taft (Sprint Labs), K. Salamatian (University of Paris VI), S. Bhattacharyya, C. Diot (Sprint Labs) Presented by Matthew Caesar. Problem scope. Environment:

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Towards A Formalization Of Teamwork With Resource Constraints

Towards A Formalization Of Teamwork With Resource Constraints. Praveen Paruchuri, Milind Tambe, Fernando Ordonez University of Southern California Sarit Kraus Bar-Ilan University,Israel University of Maryland, College Park December,2003. Motivation: Teamwork with Resource Constraints.

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Integer Programming

Integer Programming. Key characteristic of an Integer Program (IP) or Mixed Integer Linear Program (MILP): One or more of the decision variable must be integer . In some cases a problem that requires an Integer solution can be solved as a Linear program. When?

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ISM 206 Lecture 4

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DUALITY

DUALITY. IENG511 Optimization Theory Assis.Pro.Dr.Sahand Daneshvar Ramin Soufi Spring 2013-14. DUALITY. Associated with each linear programming problem there is another linear programming problem called the dual.

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Optimization Lecture (2)

Optimization Lecture (2). Recall. The optimization problem is as follows:. Examples. For each of the following problems, formulate the objective function, the equality constraints (if any), and the inequality constraints (if any). Specify and list the independent variables.

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Problem 7.22 QM for Windows BY: Matthew Held

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