A Polynomial-Time Algorithm for the Knapsack Problem with Two Variables-Reference-Cited by-同舟云学术

A Polynomial-Time Algorithm for the Knapsack Problem with Two Variables

Published:1976-01 Issue:1 Volume:23 Page:147-154
ISSN:0004-5411
Container-title:Journal of the ACM
language:en
Short-container-title:J. ACM

Author:

Hirschberg D. S.¹,Wong C. K.²

Affiliation:

1. Department of Electrical Engineering, Rice University, Houston, TX and IBM Thomas J. Watson Research Center, Yorktown Heights, New York

2. Computer Sciences Department, IBM Thomas J. Watson Research Center, P. O. Box 218, Yorktown Heights, NY

Abstract

The general knapsack problem is known to be NP-complete. In this paper a very special knapsack problem ia studied, namely, one with only two variables. A polynomial-time algorithm is presented and analyzed. However, it remains an open problem that for any fixed n > 2, the knapsack problem with n variables can be solved in polynomial time.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Link

https://dl.acm.org/doi/pdf/10.1145/321921.321936

Reference7 articles.

1. Computing Partitions with Applications to the Knapsack Problem

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