A MIXED INTEGER PROGRAMMING APPROACH FOR THE MINIMUM MAXIMAL FLOW

Author:

Lu Kuan1,Mizuno Shinji1,Shi Jianming2

Affiliation:

1. Tokyo Institute of Technology

2. Tokyo University of Science

Publisher

The Operations Research Society of Japan

Subject

Management Science and Operations Research,General Decision Sciences

Reference12 articles.

1. [1] R.K. Ahuja, T.L. Magnanti, and J.B. Orlin: Network Flows: Theory, Algorithms, and Applications. (Prentice hall, 1993).

2. [2] L.T.H. An, P.D. Tao, and L.D. Muu: Numerical solution for optimization over the efficient set by dc optimization algorithms. Operations Research Letters, 19 (1996), 117–128.

3. [3] W. Chen, S. Masahiro, and J. Shi: The effective algorithm for minimum maximal network flow. IPSJ SIG Technical Reports, 2009 (2009), 1–6., in Japanese.

4. [4] R. Diestel: Graph Theory, 4th Edition. (Springer, 2012).

5. [5] J. Gotoh, N.V. Thoai, and Y. Yamamoto: Global optimization method for solving the minimum maximal flow problem. Optimization Methods and Software, 18 (2003), 395–415.

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