Title
The Knapsack Problem With Disjoint Multiple‐Choice Constraints
Abstract
In this article we consider the binary knapsack problem under disjoint multiple‐choice constraints. We propose a two‐stage algorithm based on Lagrangian relaxation. The first stage determines in polynomial time an optimal Lagrange multiplier value, which is then used within a branch‐and‐bound scheme to rank‐order the solutions, leading to an optimal solution in a relatively low depth of search. The validity of the algorithm is established, a numerical example is included, and computational experience is described. Copyright © 1992 Wiley Periodicals, Inc., A Wiley Company
Publication Date
1-1-1992
Publication Title
Naval Research Logistics (NRL)
Volume
39
Issue
2
Number of Pages
213-227
Document Type
Article
Identifier
scopus
Personal Identifier
scopus
DOI Link
https://doi.org/10.1002/nav.3220390206
Copyright Status
Unknown
Socpus ID
84989675145 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84989675145
STARS Citation
Aggarwal, Vijay; Deo, Narsingh; and Sarkar, Dilip, "The Knapsack Problem With Disjoint Multiple‐Choice Constraints" (1992). Scopus Export 1990s. 979.
https://stars.library.ucf.edu/scopus1990/979