'Integer program' presentation slideshows

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Subramanian Ramamoorthy School of Informatics 22 March, 2013

Decision Making in Robots and Autonomous Agents Preferences and Elicitation (Based on material from C. Boutilier et al. ). Subramanian Ramamoorthy School of Informatics 22 March, 2013. Preference Elicitation in AI. Shopping for a Car:. Luggage Capacity? Two Door? Cost? Engine Size?

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Dependent Randomized Rounding in Matroid Polytopes (& Related Results)

Dependent Randomized Rounding in Matroid Polytopes (& Related Results). Chandra Chekuri Jan Vondrak Rico Zenklusen. IBM Research. MIT. Univ. of Illinois. Example: Congestion Minimization. Choose a path for each pair Minimize max number of paths using any edge (congestion)

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Combinatorial Optimization Methods for Reliable Genomic-Based Detection Systems

Combinatorial Optimization Methods for Reliable Genomic-Based Detection Systems. Ion Mandoiu University of Connecticut Computer Science & Engineering Department. Motivation.

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The Stackelberg Minimum Spanning Tree Game

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Highly Scalable Algorithms for Robust String Barcoding

Highly Scalable Algorithms for Robust String Barcoding. Bhaskar DasGupta * Kishori M. Konwar Ion Mandoiu Alex Shavartsman Computer Science & Engineering Department University of Connecticut Storrs, CT * Department of Computer Science University of Illinois at Chicago Chicago, IL.

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LINEAR PROGRAMMING

LINEAR PROGRAMMING.

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CSE 589 Part VI

CSE 589 Part VI. Reading. Skiena, Sections 5.5 and 6.8 CLR, chapter 37. Techniques for Dealing with NP-complete Problems. Exactly backtracking , branch and bound Approximately approximation algorithms with performance guarantees using LP (e.g., randomized rounding)

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Truthful Spectrum Auction Design for Secondary Networks

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Integer Linear Programming

Integer Linear Programming. Professor Ahmadi. Integer Linear Programming. Types of Integer Linear Programming Models Graphical Solution for an All-Integer LP Spreadsheet Solution for an All-Integer LP Application Involving 0-l Variables Special 0-1 Constraints.

524 views • 24 slides

Integer Linear Programming

Integer Linear Programming. Professor Ahmadi. Integer Linear Programming. Types of Integer Linear Programming Models Graphical Solution for an All-Integer LP Spreadsheet Solution for an All-Integer LP Application Involving 0-l Variables Special 0-1 Constraints.

578 views • 24 slides

CPS 196.2 Kidney exchanges (largely follows Abraham, Blum, Sandholm 2007 paper)

CPS 196.2 Kidney exchanges (largely follows Abraham, Blum, Sandholm 2007 paper). Vincent Conitzer conitzer@cs.duke.edu. Kidney transplants. Kidneys filter waste from blood Kidney failure results in death in months Dialysis : regularly get blood filtered in hospital using external machine

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Max-flow/min-cut theorem

Max-flow/min-cut theorem. Theorem : For each network with one source and one sink , the maximum flow from the source to the destination is equal to the minimal cut of this network . Intui tion : Maximal flow is determined by the bottleneck of the sysetm of pipes .

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Branch-and-Bound Technique for Solving Integer Programs

Branch-and-Bound Technique for Solving Integer Programs. In this handout Basic concepts Introducing the technique based on an example. Basic Concepts. The basic concept underlying the branch-and-bound technique is to divide and conquer .

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Branch-and-Bound Technique for Solving Integer Programs

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Cutting Plane Technique for Solving Integer Programs

Cutting Plane Technique for Solving Integer Programs. Motivating Example for Cutting Planes. Recall the bad-case example for the LP-rounding algorithm: Integer Program LP relaxation max x 1 + 5x 2 max x 1 + 5x 2 s.t. x 1 +10x 2 ? 20 s.t. x 1 +10x 2 ? 20

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Terminology

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Integer Optimization

Integer Optimization. Basic Concepts. Integer Linear Program(ILP): A linear program except that some or all of the decision variables must have integer values. LP Relaxation: A LP model that is derived from an ILP by dropping the integer requirements for the variables.

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