Acta Mathematicae Applicatae Sinica

, Volume 10, Issue 3, pp 302–314 | Cite as

A branch bound method for subset sum problem

  • Wu Shiquan 
Article
  • 79 Downloads

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 

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Copyright information

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

Authors and Affiliations

  • Wu Shiquan 
    • 1
  1. 1.Institute of Applied Mathematicsthe Chinese Academy of SciencesBeijingChina

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