On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming

On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming
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DOI:
10.1287/mnsc.12.7.609
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发表时间:
1966-03
期刊:
影响因子:
5.4
通讯作者:
R. Jagannathan
R. Jagannathan
中科院分区:
管理学1区
文献类型:
--
作者:
R. Jagannathan

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本文给出了适用于参数形式凸规划问题的结果。的结果也涉及到分数规划问题的方式,这表明计算的可能性,后一类问题。结果扩展到一般的非线性规划问题,特别是连续的准则函数。作为一个特殊的情况下,线性分式规划问题被认为是,在结论中,这里的结果安全指出了现有的算法为后一类问题。
This paper presents results which apply to convex programming problem in parametric form. The results secured are also related to the problem of fractional programming in a way which indicates computational possibilities for the latter class of problems. The results are extended to general non-linear programming problems with special reference to continuous criterion functions. As a particular case, the linear fractional programming problem is considered and, in conclusion, the results secured here are pointed up by reference to existing algorithms for the latter class of problems.