# A Parametric Method for Solving the Linear Fractional Programming Problem

Article Abstract:

Fractional programming problems, which involve the maximization of a fraction of two functions under specified conditions, arise in a number of decision making applications. Various algorithms exist for the optimal solution of such problems. However, these algorithms provide only the optimal solution. They do not provide any other pertinent decision making information. The present paper presents an approach for solving linear fractional programming problems that also provides information on the underlying decision problem. The method involves parametric analysis of the substitution problem.

Publication Name: Operations Research

Subject: Petroleum, energy and mining industries

ISSN: 0030-364X

Year: 1985

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# Proper Efficiency and the Linear Fractional Vector Maximum Problem

Article Abstract:

Whenever more than one criterion function is to be simultaneously maximized over a feasible region, a maximum problem exists. It is proved that every efficient solution satisfies the requirements of a restricted efficiency. This is true for linear problems.

Publication Name: Operations Research

Subject: Petroleum, energy and mining industries

ISSN: 0030-364X

Year: 1984

User Contributions:

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