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Linear-fractional programming (LFP) formally is almost the same as Linear programming but instaed of linear objective function we have a ratio of two linear fuctions, subject to linear equality and linear inequality constraints. Informally, if linear programming determines the way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model and given some list of requirements represented as linear equations, in linear-fractional programming model we can achieve the best (highest) ratio outcome/cost. i.e. highest efficiency.
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Linear-fractional programming can be used in the same real-wolrd applications as LP, in various fields of study. Most extensively it is used in business and economic situations, especially in the situations of deficit of financial resources. Also LFP can be utilized for wide range of engineering problems. Some industries that use linear programming models including transportation, energy, telecommunications, and manufacturing
may use LPF as well as LP.
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