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An Operator Theory for a Class of Linear Fractional Programming Problems — I
Author(s) -
Lata M.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750550302
Subject(s) - operator (biology) , class (philosophy) , basis (linear algebra) , mathematical optimization , mathematics , linear programming , function (biology) , linear map , computer science , pure mathematics , artificial intelligence , geometry , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene
In this paper we study the problem of modifying the optimal solution to a class of transportation problems with linear fractional objective function when the rim conditions are varied parametrically. The variation is assumed to be such that the optimal basis structure is preserved. We develop algorithms for finding the optimal solution to the transformed problem and the maximum extent to which a basis preserving rim operator may be applied. Finally, we solve a numerical example to illustrate the various results.