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» An exact algorithm for the knapsack sharing problem with com...
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72
Voted
EOR
2006
73views more  EOR 2006»
14 years 10 months ago
An exact algorithm for the knapsack sharing problem with common items
We are concerned with a variation of the knapsack problem as well as of the knapsack sharing problem, where we are given a set of n items and a knapsack of a fixed capacity. As us...
Masako Fujimoto, Takeo Yamada
91
Voted
MP
2002
143views more  MP 2002»
14 years 9 months ago
Extending Dantzig's bound to the bounded multiple-class binary Knapsack problem
The bounded multiple-class binary knapsack problem is a variant of the knapsack problem where the items are partitioned into classes and the item weights in each class are a multip...
François Vanderbeck
102
Voted
IOR
2008
102views more  IOR 2008»
14 years 10 months ago
An Optimization Algorithm for the Ordered Open-End Bin-Packing Problem
The ordered open-end bin packing problem is a variant of the bin packing problem in which the items to be packed are sorted in a given order and the capacity of each bin can be ex...
Alberto Ceselli, Giovanni Righini
113
Voted
4OR
2008
115views more  4OR 2008»
14 years 8 months ago
A branch-and-price algorithm for the two-dimensional level strip packing problem
The two-dimensional level strip packing problem (2LSPP) consists in packing rectangular items of given size into a strip of given width divided into levels. Items packed into the ...
Andrea Bettinelli, Alberto Ceselli, Giovanni Righi...
STOC
2003
ACM
95views Algorithms» more  STOC 2003»
15 years 10 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking