On the mixing set with a knapsack constraint

Web20 de jul. de 2024 · A multiple knapsack constraint over a set of items is defined by a set of bins of arbitrary capacities, and a weight for each of the items. An assignment for the … http://lsec.cc.ac.cn/~dyh/file/publication/131.pdf

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WebIn Sec. II, we define graph theory terms that will be used throughout the paper.Next, in Sec. III, we discuss how to map arbitrary combinatorial optimization problems to polynomial unconstrained binary optimization problems (PUBOs) by dualizing constraints, and apply the method to MaxCut, Maximum Independent Set, and a general combinatorial … WebWe extend these inequalities to obtain valid inequalities for the mixing set with a knapsack constraint. In addition, we propose a compact extended reformulation (with polynomial … canada goose mall of america https://matchstick-inc.com

Maximization of Monotone Non-submodular Functions with a Knapsack ...

WebTS160 .K53 Managing work-in-process inventory TS160 .M83 2005 Analysis and algorithms for service parts supply chains TS160 .M86 2003 WebA knapsack constraint is a linear constraint of the form P n i=1 a ix i b, where band nare positive integers and a 2Zn +. Any linear inequality involving binary variables can be converted into a knapsack constraint, by complementing variables with negative coe cients [23]. The polyhedron conv n x2f0;1gn: Xn i=1 a ix i b o is called a knapsack ... Web23 de mai. de 2010 · The mixing set with a knapsack constraint arises in deterministic equivalent of chance-constrained programming problems with finite discrete distributions. … fisher 4200

A polyhedral study on chance constrained program with random

Category:Joint chance-constrained programs and the intersection of mixing sets ...

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On the mixing set with a knapsack constraint

On mixing sets arising in chance-constrained programming

WebAbstract. The mixing set with a knapsack constraint arises in deterministic equiv-alent of chance-constrained programming problems with nite discrete distributions. We rst … Web7 de fev. de 2024 · Maximization of non-negative monotone submodular set functions under a knapsack constraint have been extensively studied in the last decade. Here, we consider the streaming algorithms of this problem on the integer lattice, or on a multi-set equivalently.

On the mixing set with a knapsack constraint

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WebWe study the polyhedral structure of a generalization of a mixing set described by the intersection of two mixing sets with two shared continuous ... Fukasawa, R.: On the mixing set with a knapsack constraint. Math. Program. 157(1), 191---217 (2016) Google Scholar Digital Library; Atamtürk, A., Nemhauser, G.L., Savelsbergh, M.W.P.: The mixed ... WebOn the mixing set with a knapsack constraint Ahmad Abdi1 · Ricardo Fukasawa1 Received: 25 February 2014 / Accepted: 9 January 2016 / Published online: 28 January …

WebWe consider a class of chance-constrained combinatorial optimization problems, which we refer to as probabilistic partial set-covering (PPSC) problems. Given a prespecified risk … Web3 de out. de 2024 · In this paper, we first revisit basic mixing sets by establishing a strong and previously unrecognized connection to submodularity. In particular, we show that …

WebFor k= 1, Luedtke et al. [23], Küçükyavuz [15], and Abdi and Fukasawa [1] suggested valid inequalities for a single mixing set subject to the knapsack constraint (2d). For general k, Küçükyavuz [15] and Zhao et al. [40] proposed valid inequalities for a joint mixing set with a knapsack constraint. Luedtke et al. [23] showed that the problem is NP-hard for k>1 … http://lsec.cc.ac.cn/~dyh/file/publication/131.pdf

Webfunction (i.e., N(S) is the set of neighbors of 5), and pv > 0 is the profit of v, for any v e R. The problem max[/G p(S) I S < k} is classical maximum coverage. In this paper we consider the following problem of maximizing a nonnegative submodular set function subject to d knapsack constraints, where d is a fixed constant (d-SUB).

Web28 de jan. de 2016 · In this paper, we studied several different properties of the mixing set with a knapsack constraint and identified the key difficulty in describing its convex hull, … fisher 42014WebKnapsack Constraints. A knapsack constraint is an alternate to a cardinality constraint (the default in apricot) where each element has a cost and the selected items cannot exceed a total budget. The name (according to Krause (2012)) is a reference to the knapsack problem where one maximizes a modular function subject to a modular cost. canada goose marlow coat womenWebAbstract The mixing set with a knapsack constraint arises in deterministic equiv-alent of chance-constrained programming problems with finite discrete distributions. We first … fisher 42014 harnessWeb19 de out. de 2010 · Deciding whether you can achieve value k (assuming knapsack capacity >= k) is equivalent to finding k items that have no constraint between them. This … fisher 4200 instruction manualWeb4 de jul. de 2012 · On the mixing set with a knapsack constraint. We study a substructure appearing in mixed-integer programming reformulations of chance-constrained programs … fisher 4210Web1 de abr. de 2012 · We propose a polynomial-size extended formulation for the intersection of multiple mixing sets with a knapsack constraint that is stronger than the original … fisher 4196 temperature controllerWebOn Intersection of Two Mixing Sets with Applications to Joint Chance-Constrained Programs Xiao Liu Integrated Systems Engineering, The Ohio State University, [email protected] ... extended formulations for the individual mixing set intersected with a cardinality/knapsack constraint on the binary variables). fisher 4306311