On the solution of concave knapsack problems

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August undefined, 2024

WebIn 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 … WebWe consider a version of the knapsack problem which gives rise to a separable concave minimization problem subject to bounds on the variables and one equality constraint. We characterize strict local miniimizers of concave minimization problems subject to linear …

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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 … WebOn the solution of concave knapsack problems Jorge J. Mor~ and Stephen A. Vavasis* Mathematics and Computer Science Division, Argonne National Laboratory, 9700 … open mind portrait activity

On exact solution approaches for concave knapsack problems

Web16 de fev. de 2024 · We consider a parametric convex quadratic programming (CQP) relaxation for the quadratic knapsack problem (QKP). This relaxation maintains partial quadratic information from the original QKP by perturbing the objective function to obtain a concave quadratic term. The nonconcave part generated by the perturbation is then … WebKnapsack Problems are the simplest NP-hard problems in Combinatorial Optimization, as they maximize an objective function subject to a single resource constraint. Several … http://match.stanford.edu/reference/numerical/sage/numerical/knapsack.html ip address for this pc and connect to printer

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Reducing knapsack problem to an inverse knapsack problem

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 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. open mind portraitWeb23 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 … open minds a birla school bhagalpur

"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 concave knapsack problems

On the solution of concave knapsack problems

Web1 de nov. de 1990 · We characterize strict local miniimizers of concave minimization problems subject to linear constraints, and use this characterization to show that … WebHá 2 dias · TRANSPORTATION, ASSIGNMENT, AND TRANSSHIPMENT PROBLEMS. Formulating Transportation Problems. Finding Basic Feasible Solutions for Transportation Problems. ... The Branch-and-Bound Method for Solving Mixed Integer Programming Problems. Solving Knapsack ... Introductory Concepts. Convex and Concave …

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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. WebTraditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming (FNLP) problem with piecewise linear membership functions (PLMFs). However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in the face of complex PLMFs.

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 … 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 …

WebThis paper introduces five characteristics of concave knapsack problem (CKP) instances that influence computational times of algorithms. A dataset, based on these … Web21 de fev. de 2024 · Abstract This paper introduces five characteristics of concave knapsack problem (CKP) instances that influence computational times of algorithms. A …

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 ...

Web13 de dez. de 2016 · 1) Given n items, each has its weight and cost. We need to select items, that will fit in our knapsack and have maximal cost in sum. It can be easily solved using dynamic programming. 2) Fractional knapsack: same as the first, but we can take not the whole item only, but its part. This problem can be easily solved with greedy algorithm. open minds headspaceWeb1 de dez. de 2015 · Multidimensional convex separable continuous knapsack problem is analyzed. • Necessary and sufficient optimality condition is formulated and proved. • … open minds inc memphis tnWebOn the solution of multidimensional convex separable continuous knapsack problem with bounded variables @article{Stefanov2015OnTS, title={On the solution of multidimensional convex separable continuous knapsack problem with bounded variables}, author={Stefan M. Stefanov}, journal={Eur. J. Oper. Res.}, year={2015}, volume={247}, pages={366-369} } open minds conferences 2023WebThis kind of problem is known as a 0/1 Knapsack Problem. A Knapsack Problem is any problem that involves packing things into limited space or a limited weight capacity. The problem above is "0/1" because we either do carry an item: "1"; or we don't: "0". Other problems allow that we can take more than 1 or less than 1 (a fraction) of an item. i. p. address for this tabletWebThis 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 … ip address for this wifiWeb16 de mai. de 2024 · So in your case, your can easily make a polynomial time reduction from the knapsack problem to the inversed knapsack problem. These two problems are equivalent (finding an optimal solution to one immediately solves the other). Let S be the set of objects, M be the sum of the weights of the objects of S, and W the capacity of the … ip address for this printerWeb16 de fev. de 2024 · A parametric convex quadratic relaxation. In order to construct a convex relaxation for QKP, we start by considering the following standard reformulation of the problem in the lifted space of symmetric matrices, defined by the lifting X ≔ xxT. (2) ( QKP lifted) p Q K P l i f t e d *: = max trace ( Q X) s.t. w T x ≤ c X = x x T x ∈ { 0, 1 } n. ip address for the brother printer