The Efficient Computation Method of Two-commodity Network Flow Problem Using TSP

판매원 문제를 이용한 2-상품 네트워크 흐름 문제의 효율적인 계산방법

  • Hwang, In-Keuk (Dept. of Industrial Engineering, Kongju National University) ;
  • Park, Dong-Jin (Dept. of Industrial Engineering, Kongju National University) ;
  • Yoon, Kwang-Sik (Dept. of Agricultural Engineering, Chonnam National University)
  • Published : 1999.02.25

Abstract

Our interest in this paper is in the efficient computation of a good low bound for the traveling salesman problem and is in the application of a network problem in agriculture. We base our approach on a relatively new formulation of the TSP as a two-commodity network flow problem. By assigning Lagrangian multipliers to certain constraints and relaxing them, the problem separates into two single-commodity network flow problems and an assignment problem, for which efficient algorithms are available.

Keywords