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Titlebook: Integer Programming and Combinatorial Optimization; 15th International C Oktay Günlük,Gerhard J. Woeginger Conference proceedings 2011 The

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Facility Location with Client Latencies: Linear Programming Based Techniques for Minimum Latency Pr to be opened to serve clients and also need to be sequentially activated before they can provide service. Formally, we are given a set . of . facilities with facility-opening costs . ., a set . of . clients, connection costs . . specifying the cost of assigning a client . to a facility ., a root no
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An Exact Rational Mixed-Integer Programming Solver,tions used by existing software. This allows the solver to be used for establishing theoretical results and in applications where correct solutions are critical due to legal and financial consequences. Our solver is a hybrid symbolic/numeric implementation of LP-based branch-and-bound, using numeric
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Design and Verify: A New Scheme for Generating Cutting-Planes,dure) to . a cutting-plane. In this paper, we describe an alternative paradigm of using the same cutting-plane black-box. This involves two steps. In the first step, we . an inequality . ≤ ., . of the cutting-plane black-box. In the second step, we . that the designed inequality is a valid inequalit
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Contact Center Scheduling with Strict Resource Requirements,eployed for shifts consisting of . consecutive time units. Further, each employee specifies a set of possible start times, and can be deployed for a bounded number of shifts only. At each point of time ., we are also given a lower bound . . on the number of employees that should be present at this t
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,A Subexponential Lower Bound for Zadeh’s Pivoting Rule for Solving Linear Programs and Games,ber of steps to solve some linear programs. No non-polynomial lower bounds were known, prior to this work, for . pivoting rule [25]..Also known as the ., rule, Zadeh’s pivoting method belongs to the family of memorizing improvement rules, which among all improving pivoting steps from the current bas
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An Iterative Scheme for Valid Polynomial Inequality Generation in Binary Polynomial Programming,ly becomes computationally expensive and is often tractable only for problems of small sizes. We propose an iterative scheme that improves the semidefinite relaxations without incurring exponential growth in their size. The key ingredient is a dynamic scheme for generating valid polynomial inequalit
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A New Approach to the Stable Set Problem Based on Ellipsoids,nite programming. The method begins by constructing an ellipsoid that contains the stable set polytope and has the property that the upper bound obtained by optimising over it is equal to the Lovász theta number. This ellipsoid is then used to derive cutting planes, which can be used within a linear
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