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An Algorithm for the 0-1 Equality Knapsack Problem
Journal of the Operational Research Society, 1988The paper deals with the following problem: minimize cx on the set \(\{\) x: \(wx=b\}\). \(x=(x_ 1\),..., \(x_ n)\), \(x_ i=0\) or 1. Here c and w are vectors with rational non-negative coordinates. This is called the equality knapsack problem. A method is developed which computes some candidate solutions and investigates them using branch and bound ...
Ram, Balasubramanian, Sarin, Sanjiv
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Problem reduction heuristic for the 0–1 multidimensional knapsack problem
Computers & Operations Research, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hill, Raymond R. +2 more
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0-1 Knapsack Problems with Random Budgets
SSRN Electronic Journal, 2001Given a set of elements, each having a profit and cost associated with it, and a budget, the 0-1 knapsack problem finds a subset of the elements with maximum possible combined profit subject to the combined cost not exceeding the budget. In this paper we study a stochastic version of the problem in which the budget is random.
Shubhabratha Das, Diptesh Ghosh
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Lagrangean methods for the 0–1 Quadratic Knapsack Problem
European Journal of Operational Research, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michelon, Philippe, Veilleux, Louis
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Improved results on the 0–1 multidimensional knapsack problem
European Journal of Operational Research, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasquez, Michel, Vimont, Yannick
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Solving efficiently the 0–1 multi-objective knapsack problem
Computers & Operations Research, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bazgan, Cristina +2 more
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Solving the 0–1 proportional knapsack problem by sampling
Journal of Optimization Theory and Applications, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Penn, M., Hasson, D., Avriel, M.
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An Improved Heuristic for Multidimensional 0—1 Knapsack Problems
Journal of the Operational Research Society, 1990For the multidimensional 0-1 knapsack problem a heuristic exists, based on Lagrange multipliers, that also enables the determination of an upper bound to the optimal criterion value. This heuristic is extended in two ways: (1) in each step, not one, but more multiplier values are computed simultaneously, and (2) at the end the upper bound is sharpened ...
A. Volgenant, J. A. Zoon
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A core approach to the 0 –1 equality knapsack problem
Journal of the Operational Research Society, 1998Summary: For the 0-1 knapsack problem with equality constraint a partitioning procedure is introduced which focuses on the core of the problem. The purpose of the procedure is to reduce the required preliminary sorting for large problem instances. Computational results are presented for an improved heuristic as well as for a complete (exact) algorithm ...
Volgenant, A., Marsman, S.
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Landscape Properties of the 0-1 Knapsack Problem
Proceedings of the Companion Publication of the 2015 Annual Conference on Genetic and Evolutionary Computation, 2015This paper studies two landscapes of different instances of the 0-1 knapsack problem. The instances are generated randomly from varied weight distributions. We show that the variation of the weights can be used to guide the selection of the most suitable local search operator for a given instance.
Khulood Alyahya, Jonathan E. Rowe
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