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EOR
2006
73views more  EOR 2006»
13 years 4 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
MP
2002
143views more  MP 2002»
13 years 4 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
IOR
2008
102views more  IOR 2008»
13 years 4 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
4OR
2008
115views more  4OR 2008»
13 years 3 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»
14 years 5 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