On the solution of concave knapsack problems

Author: hleq

August undefined, 2024

WebThis paper introduces five characteristics of concave knapsack problem (CKP) instances that influence computational times of algorithms. A dataset, based on these … WebInteger programming problems with a concave cost function are often encountered in optimization models involving economics of scale. In this paper, we propose an efficient exact algorithm for solving concave knapsack problems. The algorithm consists of an iterative process between finding lower and upper bounds by linearly underestimating the …

On the solution of multidimensional convex separable …

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 … WebThe technique used in Algorithm 1 resembles the concave-convex procedure of Yuille and Rangarajan and I wish the authors would have referred to this similarity. In lines 136-137 there is some un-clarity in the description since i\in V but i is not necessarily an integer number, instead it could be just an abstract object. brookcroft great oakley

Some Very Easy Knapsack/Partition Problems - JSTOR

http://syllabus.cs.manchester.ac.uk/ugt/2024/COMP26120/lab/ex11.html Weboptimization problem, whose variables decide which wells should be active as well as the gas-injection and whose objective is profit maximization. The paper elaborates on a few properties of the problem and delivers a dynamic-programming algorithm to find approximate solutions. The effectiveness of the algorithm was demonstrated by Webknapsack approximation problem is also used in a more efficient algorithm for univariate factorization from [van Hoeij 2002]. Applications to cryptosystems are discussed in [von … cards by janey

Solving knapsack problems with S-curve return functions

On the solution of concave knapsack problems - Springer

Web21 de fev. de 2024 · Abstract This paper introduces five characteristics of concave knapsack problem (CKP) instances that influence computational times of algorithms. A … Web1 de out. de 2012 · We create an instance N of the general, directed 1-neighbour knapsack problem consisting of and a budget bound of C. By assumption, there is a solution to N … cards by lizard kingWebfollowing 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) … cards by samantha chase meyers

"Web1. A method for scheduling multicast transmissions, comprising:scheduling layered data for one or more multicast transmissions across a plurality of sub-channels using multi-resol " - On the solution of concave knapsack problems

On the solution of concave knapsack problems

Introduction to Mathematical Programming: Applications and

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 … 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

Did you know?

Web1 de jan. de 2024 · In this paper we propose an exact solution approach, which is based on a branch-and-bound framework and exploits structural properties of the assignment … 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 …

Web20 de jul. de 2024 · Given a boolean vector b representing a solution to the knapsack problem with n elements k capacity and where each element has integer weight and value. Proving that the solution is a solution is trivial. You add all the weights multiplied by the selection coefficient and check if it adds to more than the capacity. WebAbstract : In this paper, a recursive method is presented to solve separable differentiable convex knapsack problems with bounded variables. The method differs from classical optimization algorithms of convex programming and determines at each iteration the optimal value of at least one variable. Applications of such problems are frequent in ...

Webpresented 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 ... Web23 de mai. de 2024 · Knapsack Problem Under Concave Function: The input is a unit size of knapsack and a set of items associated with a size-profit function f(x), where function …

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.

cards by xyzzyWeb1 de set. de 2024 · An efficient exact algorithm for solving concave knapsack problems that consists of an iterative process between finding lower and upper bounds by linearly underestimating the objective function and performing domain cut and partition by exploring the special structure of the problem. Integer programming problems with a concave … brook crompton asia pacific pte ltdWebIn this paper, an exact and efficient algorithm is presented for concave knapsack problems. The algorithm combines the contour cut with a special cut to improve the … cards calligraphyWebKnapsack 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. brook crompton asia pacificWeb31 de mai. de 2024 · To verify a solution to the knapsack problem (e.g. a set of items to pack) we can sum their sizes (linear to the number of items packed) and compare the total to the space in the knapsack. Verifying that it is an optimal answer is as difficult (np) as solving the knapsack problem. cards californiaWeb16 de out. de 2015 · Two stochastic knapsack problem (SKP) models are considered: the static broken knapsack problem (BKP) and the SKP with simple recourse and penalty cost problem. For both models, we assume: the knapsack has a constant capacity; there are n types of items and each type has an infinite supply; a type i item has a deterministic … brook crompton distributorsWeb10 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 … brook crompton companies house