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An Algorithm for Linear Fractional Functionals Programming Problems
Author(s) -
Rani Oma,
Shivpuri Saroj
Publication year - 1977
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.19770570203
Subject(s) - linear fractional programming , linear programming , fractional programming , mathematics , algorithm , basic solution , mathematical optimization , criss cross algorithm , function (biology) , computer science , nonlinear programming , nonlinear system , chemistry , physics , electrode , quantum mechanics , evolutionary biology , electrochemistry , biology
In this paper an algorithm is given for solving linear fractional functionals programming problems. This method permits to replace in each iteration several basic variables by an equal number of non‐basic ones so as to obtain a new basic feasible solution with the new value of the objective function which is, at least, as good as the old one. To initiate the algorithm, we start with a basic feasible solution. The method of determining a new basic feasible solution, in each iteration, requires the optimum solution of some auxiliary linear fractional functionals program.