In this paper,the authors consider some inverse problems on network,such as the inverse transport problems with gains(IGTP) and the inverse linear fractional minimum cost flow problem(IFFP).Firstly,the authors give th...In this paper,the authors consider some inverse problems on network,such as the inverse transport problems with gains(IGTP) and the inverse linear fractional minimum cost flow problem(IFFP).Firstly,the authors give the mathematics model of(IGTP) and an efficient method of solving it under l_1 norm;Secondly,taking advantage of the optimality conditions,the authors consider the(IFFP) and give a simple method of solving it.Finally,an numerical example test is also developed.展开更多
基金supported by Shanghai leading academic discipline project under Grant No.S30501Shandong province leading academic discipline project under Grant No.ZR2010AM033
文摘In this paper,the authors consider some inverse problems on network,such as the inverse transport problems with gains(IGTP) and the inverse linear fractional minimum cost flow problem(IFFP).Firstly,the authors give the mathematics model of(IGTP) and an efficient method of solving it under l_1 norm;Secondly,taking advantage of the optimality conditions,the authors consider the(IFFP) and give a simple method of solving it.Finally,an numerical example test is also developed.