On the mixing set with a knapsack constraint

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August undefined, 2024

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). WebView Swetha Varadarajan’s profile on LinkedIn, the world’s largest professional community. Swetha has 8 jobs listed on their profile. See the complete profile on LinkedIn and discover Swetha ...

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 … WebThe mixing set with a knapsack constraint arises as a substructure in mixed-integer programming reformulations of chance-constrained programs with stochastic right-hand … poly theater

On mixing sets arising in chance-constrained programming

We study a substructure appearing in mixed-integer programming reformulations of chance-constrained programs with stochastic right-hand-sides over a finite discrete distribution, which we call the mixing set with a knapsack constraint. Recently, Luedtke et al. (Math. Program. 122(2):247–272, 2010) and Küçükyavuz (Math Program … 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 … WebWe study a substructure appearing in mixed-integer programming reformulations of chance-constrained programs with stochastic right-hand-sides over a finite discrete distribution, … poly theatre beijing

On the mixing set with a knapsack constraint

Web2 Strong inequalities derived from mixing set In this section, we consider the set K, which is a single mixing set with 0 1 knapsack. As a generalization of inequalities (3) for the mixing set, earlier studies showed Theorem 2.1 (Theorem 6 in [14]) For m2Z + such that m , let T = ft 1;:::;t ag [1;m] with t 1 < ::: < t 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 ... polytheama significadoWeb1 de abr. de 2012 · The mixing set with a knapsack constraint arises in deterministic equivalent of chance-constrained programming problems with finite discrete distributions. … shannon fischer

"Web1 de jul. de 2024 · This is motivated from the desire to exploit the information encoded in the knapsack constraint arising in joint linear ... (CCP) is the intersection of multiple mixing sets with a 0–1 knapsack. " - On the mixing set with a knapsack constraint

On the mixing set with a knapsack constraint

http://lsec.cc.ac.cn/~dyh/file/publication/131.pdf Webinclude studies on the set Qand K, we give literature review on both sets in following subsections. 1.1 Mixing set with 0 1 knapsack Observe that the set Kconsists of a mixing set, introduced by Gunl uk and Pochet [13] on general integer variables. The mixing set was extensively studied in varying degrees of generality by many

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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 … Web4 de jul. de 2012 · The mixing set with a knapsack constraint arises as a substructure in mixed-integer programming reformulations of chance-constrained programs with …

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 … Web1 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 …

Web6 de fev. de 2015 · Abstract. We study the convex hull of the continuous knapsack set which consists of a single inequality constraint with \ (n\) non-negative integer and \ (m\) non-negative bounded continuous ... WebOn 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).

WebThe mixing set with a knapsack constraint arises as a substructure in mixed-integer programming reformulations of chance-constrained programs with stochastic right-hand …

Web4 de jul. de 2012 · On the mixing set with a knapsack constraint Ahmad Abdi, Ricardo Fukasawa The mixing set with a knapsack constraint arises as a substructure in … poly theatre falmouthWeb shannon fitzgerald graphic designWeb4 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 … poly theismWebOn the Mixed 0-1 Knapsack Set with a GUB Constraint Wei-Kun Chen1 and Yu-Hong Dai2 1 School of Mathematics and Statistics/Beijing Key Laboratory on MCAACI, Beijing … shannon fitzgerald lawrenceWebKnapsack 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. shannon fitness centerWebAbstract The mixing set with a knapsack constraint arises in deterministic equiv-alent of chance-constrained programming problems with ﬁnite discrete distributions. We ﬁrst … polytheism and monotheism definitionWebOn the mixing set with a knapsack constraint Ahmad Abdi1 · Ricardo Fukasawa1 Received: 25 February 2014 / Accepted: 9 January 2016 / Published online: 28 January … poly theatre shanghai