Sciweavers

EOR
2007

A pegging approach to the precedence-constrained knapsack problem

13 years 3 months ago
A pegging approach to the precedence-constrained knapsack problem
The knapsack problem (KP) is generalized to the case where items are partially ordered through a set of precedence relations. As in ordinary KPs, each item is associated with profit and weight, the knapsack has a fixed capacity, and the problem is to determine the set of items to be packed in the knapsack. However, each item can be accepted only when all the preceding items have been included in the knapsack. The knapsack problem with these additional constraints is referred to as the precedence-constrained knapsack problem (PCKP). To solve PCKP exactly, we present a pegging approach, where the size of the original problem is reduced by applying the Lagrangian relaxation followed by a pegging test. Through this approach, we are able to solve PCKPs with thousands of items within a few minutes on an ordinary workstation. Ó 2006 Elsevier B.V. All rights reserved.
Byungjun You, Takeo Yamada
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where EOR
Authors Byungjun You, Takeo Yamada
Comments (0)