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» Counting Solutions of Knapsack Constraints
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CPAIOR
2008
Springer
14 years 19 days ago
Counting Solutions of Knapsack Constraints
Abstract. This paper furthers the recent investigation of search heuristics based on solution counting information, by proposing and evaluating algorithms to compute solution densi...
Gilles Pesant, Claude-Guy Quimper
CPAIOR
2010
Springer
14 years 3 months ago
Upper Bounds on the Number of Solutions of Binary Integer Programs
We present a new method to compute upper bounds of the number of solutions of binary integer programming (BIP) problems. Given a BIP, we create a dynamic programming (DP) table for...
Siddhartha Jain, Serdar Kadioglu, Meinolf Sellmann
CPAIOR
2005
Springer
14 years 4 months ago
The Temporal Knapsack Problem and Its Solution
Abstract. This paper introduces a problem called the temporal knapsack problem, presents several algorithms for solving it, and compares their performance. The temporal knapsack pr...
Mark Bartlett, Alan M. Frisch, Youssef Hamadi, Ian...
ANOR
2002
93views more  ANOR 2002»
13 years 10 months ago
Cutting and Surrogate Constraint Analysis for Improved Multidimensional Knapsack Solutions
We use surrogate analysis and constraint pairing in multidimensional knapsack problems to fix some variables to zero and to separate the rest into two groups
Maria A. Osorio, Fred Glover, Peter Hammer
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 11 months ago
Approximate counting by dynamic programming
We give efficient algorithms to sample uniformly, and count approximately, the solutions to a zero-one knapsack problem. The algorithm is based on using dynamic programming to pro...
Martin E. Dyer