'Integer programs' presentation slideshows

New Lattice Based Cryptographic Constructions

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Integer Programming

Integer Programming. Optimisation Methods. Lecture Outline. 1 Introduction 2 Integer Programming 3 Modeling with 0-1 (Binary) Variables 4 Goal Programming 5 Nonlinear Programming. Introduction.

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Integer Programming and Branch and Bound

Integer Programming and Branch and Bound. Brian C. Williams 16.410-13 November 15 th, 17 th , 2004. Adapted from slides by Eric Feron, 16.410, 2002. Cooperative Vehicle Path Planning. Vehicle. Obstacle. Waypoint. Cooperative Vehicle Path Planning. Vehicle. Obstacle. Waypoint.

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Instructor: Vincent Conitzer

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Integer Programming

Integer Programming. Integer programming is a solution method for many discrete optimization problems Programming = Planning in this context Origins go back to military logistics in WWII (1940s).

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Integer Programming

Integer Programming. Integer programming is a solution method for many discrete optimization problems Programming = Planning in this context Origins go back to military logistics in WWII (1940s).

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CPS 296.1 Brief introduction to linear and mixed integer programming

CPS 296.1 Brief introduction to linear and mixed integer programming. Vincent Conitzer conitzer@cs.duke.edu. Linear programs: example. We make reproductions of two paintings. maximize 3x + 2y subject to 4x + 2y ? 16 x + 2y ? 8 x + y ? 5 x ? 0 y ? 0.

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CPS 590.4 Brief introduction to linear and mixed integer programming

CPS 590.4 Brief introduction to linear and mixed integer programming. Vincent Conitzer conitzer@cs.duke.edu. Linear programs: example. We make reproductions of two paintings. maximize 3x + 2y subject to 4x + 2y ? 16 x + 2y ? 8 x + y ? 5 x ? 0 y ? 0.

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CPS 296.1 Brief introduction to linear and mixed integer programming

CPS 296.1 Brief introduction to linear and mixed integer programming. Vincent Conitzer conitzer@cs.duke.edu. Linear programs: example. We make reproductions of two paintings. maximize 3x + 2y subject to 4x + 2y ? 16 x + 2y ? 8 x + y ? 5 x ? 0 y ? 0.

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CPS 296.1 Brief introduction to linear and mixed integer programming

CPS 296.1 Brief introduction to linear and mixed integer programming. Vincent Conitzer conitzer@cs.duke.edu. Linear programs: example. We make reproductions of two paintings. maximize 3x + 2y subject to 4x + 2y ? 16 x + 2y ? 8 x + y ? 5 x ? 0 y ? 0.

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Brief introduction to linear and mixed integer programming

Brief introduction to linear and mixed integer programming. Vincent Conitzer conitzer@cs.duke.edu. Linear programs: example. We make reproductions of two paintings. maximize 3x + 2y subject to 4x + 2y ? 16 x + 2y ? 8 x + y ? 5 x ? 0 y ? 0.

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Branch-and-Bound

Branch-and-Bound. In this handout, Summary of branch-and-bound for integer programs Updating the lower and upper bounds for OPT(IP) Summary of fathoming criteria Which variable to branch on? Which open subproblem to solve first? Optimality test Branch-and-bound applied to

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Branch-and-Bound

Branch-and-Bound. In this handout, Summary of branch-and-bound for integer programs Updating the lower and upper bounds for OPT(IP) Summary of fathoming criteria Which variable to branch on? Which open subproblem to solve first? Optimality test Branch-and-bound applied to

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Solution methods for NP-hard Discrete Optimization Problems

Solution methods for NP-hard Discrete Optimization Problems. Three main directions to solve NP-hard discrete optimization problems: Integer programming techniques Approximation algorithms Heuristics On time-accuracy tradeoff schedule:. Integer programming. Approximation algorithms.

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