On the mixing set with a knapsack constraint
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 ... http://lsec.cc.ac.cn/~dyh/file/publication/131.pdf
On the mixing set with a knapsack constraint
Did you know?
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). WebOn 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 Institute of Technology, Beijing 100081, China, [email protected] 2 LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing …
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. We study a substructure appearing in mixed-integer programming reformulations of chance-constrained programs … Web1 de abr. de 2012 · The mixing set with a knapsack constraint arises in deterministic equivalent of chance-constrained programming problems with finite discrete distributions. …
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 … highlights of the bills game last nightWeb4 S_IMGE K UC˘ UKYAVUZ 1 intersection of dmixing sets with a knapsack constraint as a substructure. We study 2 this set in more detail in Sections 3 and 5. 3 Outline. In Section 2, we review earlier results from the study of related mixing sets. 4 In Section 3, we give facet-de ning inequalities for the mixing set with a cardinality 5 constraint that subsume … highlights of the bears gameWebA 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 ... small pot for instant potWeb3 de out. de 2024 · Abstract: A particularly important substructure in modeling joint linear chance-constrained programs with random right-hand sides and finite sample space is the intersection of mixing sets with common binary variables (and possibly a knapsack constraint). In this paper, we first revisit basic mixing sets by establishing a strong and … small pot flowering plantsWebIn 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 … small pot for succulentWebSince our contributions include studies on the set Q and K, we give literature review on both sets in following subsections. 1.1 Mixing set with 0–1 knapsack Observe that the set K consists of a mixing set, introduced by Günlük and Pochet [14] on general integer variables. The mixing set was extensively studied in varying small pot herbsWebIn 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 … small pot for induction heating