The knapsack problem with neighbour constraints
نویسندگان
چکیده
منابع مشابه
The knapsack problem with neighbour constraints
We study a constrained version of the knapsack problem in which dependencies between items are given by the adjacencies of a graph. In the 1-neighbour knapsack problem, an item can be selected only if at least one of its neighbours is also selected. In the all-neighbours knapsack problem, an item can be selected only if all its neighbours are also selected. We give approximation algorithms and ...
متن کاملThe 1-Neighbour Knapsack Problem
We study a constrained version of the knapsack problem in which dependencies between items are given by the adjacencies of a graph. In the 1-neighbour knapsack problem, an item can be selected only if at least one of its neighbours is also selected. We give approximation algorithms and hardness results when the nodes have both uniform and arbitrary weight and profit functions, and when the depe...
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This paper is dedicated to a study of different extensions of the classical knapsack problem to the case when different elements of the problem formulation are subject to a degree of uncertainty described by random variables. This brings the knapsack problem into the realm of stochastic programming. Two different model formulations are proposed, based on the introduction of probability constrai...
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In this paper we introduce a new Packing problem, the Three-Dimensional Knapsack Problem with Balancing Constraints (3BKP), the extension of the ThreeDimensional Knapsack Problem (3KP) where additional constraints related to the packing center of mass are given. The 3BKP consists in orthogonally packing a subset of threedimensional weighted items into a knapsack in order to maximize the total p...
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ژورنال
عنوان ژورنال: Journal of Discrete Algorithms
سال: 2012
ISSN: 1570-8667
DOI: 10.1016/j.jda.2012.04.011