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Multidimensional Knapsack Problems
2004In this first chapter of extensions and generalizations of the basic knapsack problem (KP) we will add additional constraints to the single weight constraint (1.2) thus attaining the multidimensional knapsack problem. After the introduction we will deal extensively with relaxations and reductions in Section 9.2.
Hans Kellerer +2 more
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2000
The MINIMUM WEIGHT PERFECT MATCHING PROBLEM and the WEIGHTED MATROID INTERSECTION PROBLEM discussed in earlier chapters are among the “hardest” problems for which a polynomial-time algorithm is known. In this chapter we deal with the following problem which turns out to be, in a sense, the “easiest” NP-hard problem:
Bernhard Korte, Jens Vygen
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The MINIMUM WEIGHT PERFECT MATCHING PROBLEM and the WEIGHTED MATROID INTERSECTION PROBLEM discussed in earlier chapters are among the “hardest” problems for which a polynomial-time algorithm is known. In this chapter we deal with the following problem which turns out to be, in a sense, the “easiest” NP-hard problem:
Bernhard Korte, Jens Vygen
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2004
In this chapter we consider knapsack type problems which have not been investigated in the preceding chapters. There is a huge amount of different kinds of variations of the knapsack problem in the scientific literature, often a specific problem is treated in only one or two papers. Thus, we could not include every knapsack variant but we tried to make
Hans Kellerer +2 more
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In this chapter we consider knapsack type problems which have not been investigated in the preceding chapters. There is a huge amount of different kinds of variations of the knapsack problem in the scientific literature, often a specific problem is treated in only one or two papers. Thus, we could not include every knapsack variant but we tried to make
Hans Kellerer +2 more
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2012
Das MINIMUM-WEIGHT-PERFECT-MATCHING-PROBLEM und das GEWICHTETE MATROID-INTERSEKTIONS-PROBLEM, die beide in vorausgegangenen Kapiteln besprochen worden sind, gehoren zu den „schwersten“ Problemen, fur die ein polynomieller Algorithmus bekannt ist.
Bernhard Korte, Jens Vygen
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Das MINIMUM-WEIGHT-PERFECT-MATCHING-PROBLEM und das GEWICHTETE MATROID-INTERSEKTIONS-PROBLEM, die beide in vorausgegangenen Kapiteln besprochen worden sind, gehoren zu den „schwersten“ Problemen, fur die ein polynomieller Algorithmus bekannt ist.
Bernhard Korte, Jens Vygen
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The continuous collapsing Knapsack problem
Mathematical Programming, 1983A Collapsing Knapsack is a container whose capacity diminishes as the number of items it must hold is increased. This paper focuses on those cases in which the decision variables are continuous, i.e., can take any non-negative value. It is demonstrated that the problem can be reduced to a set of two dimensional subproblems.
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A new combinatorial branch-and-bound algorithm for the Knapsack Problem with Conflicts
European Journal of Operational Research, 2021Stefano Coniglio +2 more
exaly
2008
Alice and Bob were excited about the bicycle tour they had long planned. They were going to ride during the day, carrying only light supplies, and stay in hotels at night. Alice had suggested they coordinate packing to avoid duplication and extra weight.
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Alice and Bob were excited about the bicycle tour they had long planned. They were going to ride during the day, carrying only light supplies, and stay in hotels at night. Alice had suggested they coordinate packing to avoid duplication and extra weight.
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1991
The binary knapsack is one of the most important problems in discrete programming. It has many practical applications, discussed in Section 1.5, and often appears as a subproblem in the analysis and solving of more complicated problems. Although it is.N P-hard, i.e., the difficulty of solving the knapsack problem is, generally speaking, the same as the
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The binary knapsack is one of the most important problems in discrete programming. It has many practical applications, discussed in Section 1.5, and often appears as a subproblem in the analysis and solving of more complicated problems. Although it is.N P-hard, i.e., the difficulty of solving the knapsack problem is, generally speaking, the same as the
openaire +1 more source