Operations Research Transactions ›› 2017, Vol. 21 ›› Issue (2): 39-45.doi: 10.15960/j.cnki.issn.1007-6093.2017.02.005

Special Issue: 庆贺王长钰教授80华诞专辑

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Complexity concepts for combinatorial and continuous optimization problems

XING Wenxun1,*   

  1. 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2017-04-04 Online:2017-06-15 Published:2017-06-15

Abstract:

 Complexity concepts oriented from the theoretical Turing machine are widely accepted in study of combinatorial optimization problems. The polynomially computable and NP-hard concepts are frequently used in recent papers on continuous optimization problems. This paper presents a very brief introduction to show their relationship and difference used in the two fields.

Key words: complexity concepts, combinatorial optimization, continuous optimization