# A branch bound method for subset sum problem

## Authors

Article

- Received:
- Revised:

DOI: 10.1007/BF02006860

- Cite this article as:
- Wu, S. Acta Mathematicae Applicatae Sinica (1994) 10: 302. doi:10.1007/BF02006860

## Abstract

This paper indicates the possible difficulties for applying the interior point method to NP-complete problems, transforms an NP-complete problem into a nonconvex quadratic program and then develops some convexity theories for it. Lastly it proposes an algorithm which uses Karmarkar's algorithm as a subroutine. The finite convergence of this algorithm is also proved.

### Key words

Subset sum problem nonconvex quadratic program convex envelope interior point method## Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1994