On the mixing set with a knapsack constraint
WebIn this paper, we focus on the general probabilities case (general knapsack constraint). We characterize the valid inequalities that do not come from the knapsack polytope and … 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 …
On the mixing set with a knapsack constraint
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WebarXiv:1910.01353v1 [math.OC] 3 Oct 2024 Joint Chance-ConstrainedPrograms and the Intersection of Mixing Sets through a SubmodularityLens Fatma Kılınç-Karzan∗ Simge Küçükya WebOn the mixing set with a knapsack constraint Ahmad Abdi Ricardo Fukasawa October 12, 2015 Abstract 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.
WebKnapsack 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. 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 …
WebOn the mixing set with a knapsack constraint Ahmad Abdi1 · Ricardo Fukasawa1 Received: 25 February 2014 / Accepted: 9 January 2016 / Published online: 28 January … Web19 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 …
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 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. incivility imagesWebOn 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). incivility in americaWeb7 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. incivility in 2022WebWe 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 ... incivility examples in nursingWeb1 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 … incorporated nonprofitWeb11 de dez. de 2024 · for any \( e \in \{ \boldsymbol{y}^{*} \} \setminus \{ \tilde{ \boldsymbol{y}}\} \).. Indeed, simply running StreamingKnapsack could not get a constant approximation factor solution. Similar with submodular maximization problems with knapsack constraints in set function settings, the reason is that there may exist some … incorporated not for profit associationWe 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 … incorporated nonprofit is a c corp or s corp