On the solution of concave knapsack problems
WebKnapsack Problems are the simplest NP -hard problems in Combinatorial Optimization, as they maximize an objective function subject to a single resource constraint. Several variants of the classical 0–1 Knapsack Problem will be considered with respect to relaxations, bounds, reductions and other algorithmic techniques for the exact solution. Web1 de dez. de 2015 · The solution of knapsack problems with arbitrary convex or concave objective functions is studied in Bitran and Hax (1981), Luss and Gupta (1975), Moré and Vavasis (1991), Zipkin (1980), etc. Quadratic knapsack problems and related to them are studied in Brucker (1984), Pardalos, Ye, and Han (1991), Robinson, Jiang, and Lerme …
On the solution of concave knapsack problems
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Webwhich is similar to the problem LP(M) for the convex case: P(M) Minimize J= c1x subject to ZJ4= jxj = b uTl xj=M xj>O0 integerfor 1cj http://syllabus.cs.manchester.ac.uk/ugt/2024/COMP26120/lab/ex11.html
WebIn financial optimization problem, the optimal portfolios usually depend heavily on the distributions of uncertain return rates. When the distributional information about uncertain return rates is partially available, it is important for investors to find a robust solution for immunization against the distribution uncertainty. The main contribution of this paper is to … Web1 de mai. de 2002 · Nonlinear knapsack problems have been studied in the books by Ibaraki and Katoh (1988), and Li and Sun (2006). For a general introduction to these problems, the reader is referred to the classical survey by Bretthauer and Shetty (2002) as well as to Lin (1998) who reviewed a number of knapsack problem variants, among …
WebDownloadable! In this article, we discuss an exact algorithm for mixed integer concave minimization problems. A piece wise inner-approximation of the concave function is achieved using an auxiliary linear program that leads to a bilevel program, which provides a lower bound to the original problem. The bilevel program is reduced to a single-level … Web29 de mar. de 2016 · 1. Suppose you pour water into a cylinder of such cross section, ConcaveUp trickles water down the trough and holds water in the tub. …
Web22 de dez. de 2012 · Solving knapsack problems with S-curve return functions. EN. ... On the solution of concave knapsack. problems, Mathematical Programming 49 (3) (1990) 397–411. [21] T.L. Morin, R.E. Marsten, An algorithm for nonlinear knapsack. problems, Management Science 22 (10) (1976) 1147–1158.
Web10 de fev. de 2024 · We solve two classes of optimization problems in this paper to demonstrate the efficacy of our method: (i) concave knapsack problem; and (ii) concave production-transportation problem. For the concave production-transportation problem, we further consider two sub-classes: (a) single sourcing; and (b) multiple sourcing that have … eastern ontario icfWebThis module implements a number of solutions to various knapsack problems, otherwise known as linear integer programming problems. Solutions to the following knapsack problems are implemented: Solving the subset sum problem for super-increasing sequences. General case using Linear Programming. AUTHORS: Minh Van Nguyen … cuisinart 8 inch stainless steel skilletWebpresented a new B&B to derive optimal solutions to the problem in short computing times. Wang [47] considered concave knapsack problems with integer variables and presented an exact and ... cuisinart 8pc ss rose gold cookware setWebWe introduce a variant of the knapsack problem, in which the weights of items are also variables but must satisfy a system of linear constraints, and the capacity of knapsack is … eastern ontario health unit bookingWebThis paper introduces five characteristics of concave knapsack problem (CKP) instances that influence computational times of algorithms. A dataset, based on these … eastern ontario health unit phone numberWeb19 de jun. de 2016 · Chandra Chekuri, TS Jayram, and Jan Vondrák. On multiplicative weight updates for concave and submodular function maximization. In Proceedings of the 2015 Conference on Innovations in Theoretical Computer Science, pages 201-210. ACM, 2015b. Google Scholar; Anirban Dasgupta, Ravi Kumar, and Sujith Ravi. Summarization … eastern ontario editsWebfollowing knapsack problem P: (P) Minimize E 4=I c(j)xj subject to EYj=1 jxj = b xi - 0 integer for j = 1, ** , u. As is well-known, the problem P can be solved in O((u - 1)b) … cuisinart 9 cup food processors