Linear fractional programming
Nettet1. des. 2011 · Section snippets Linear fractional programming. A general linear fractional programming (LFP) problem can be formulated as follows: Max f (X) = CX + α DX + β subject to AX ⩽ B X ⩾ 0 where A is a real m × n matrix; X and B are column vectors with n and m components respectively; C and D are row vectors with n … http://seas.ucla.edu/~vandenbe/ee236a/lectures/lfp.pdf
Linear fractional programming
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NettetLinear programming problems (LPPs) are a significant type of optimization problems. These LPPs are used to solve various real-world problems such as production planning, hospital management, transportation problems, diet planning, profit maximization, resource management, etc. Linear fractional programming problems (LFPPs) are LPPs where … Nettet27. jan. 2024 · Sharma, V.: Multi-objective integer non-linear fractional programming problem: a cutting plane approach. OPSEARCH 49, 133–153 (2012) Article MathSciNet Google Scholar Oz, E., Alp, S., Guzel, N.: An alternative solution to multi objective linear fractional programming problem by using geometric programming technique.
Nettet1. sep. 2008 · The linear fractional programming problem arises when a ratio linear function has to be maximized over a compact set X and can be written as: (2.1) Maximize F (x) = c T x + γ d T x + β. Subject to x ∈ X = {x, A x ≤ b} where c, d and x ∈ R n, A is an (m + n) × n matrix, b ∈ R m + n and γ and β are scalars. NettetA linear programming approach to test efficiency in multi-objective linear fractional programming problems Applied Mathematical Modelling, Vol. 34, No. 12 Solution of …
Nettet1. jun. 1981 · Abstract. The paper deals with decision problems that give rise to the optimization of ratios subject to constraints. These so called fractional programs have been treated in a considerable number of papers. It is attempted to survey applications as well as solution methods in linear, quadratic and concave-convex fractional … NettetIn linear-fractional programming, the goal is to determine a per- missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc. Strictly speaking, linear-fractional programming is a special case of the broader field of Mathematical Programming.
NettetThis research article aims to study a multi-objective linear fractional programming (FMOLFP) problem having fuzzy random coefficients as well as fuzzy pseudorandom …
Nettet12. apr. 2024 · Linear programming (canonical form), max-flow, fractional programming, L1 & Linfinity norm optimization), derivation and interpretation of dual. sanctuary ppe masksNettetIn this paper, we introduce a computer-oriented technique for solving Linear Fractional Programming (LFP) problem by converting it into a single Linear programming (LP) … sanctuary powerpointNettet27. nov. 2024 · This paper presents an efficient outer space branch-and-bound algorithm for globally solving a minimax linear fractional programming problem (MLFP), which has a wide range of applications in data envelopment analysis, engineering optimization, management optimization, and so on. In this algorithm, by introducing auxiliary … sanctuary power yoga cantonNettetIndex Terms—Fractional programming (FP), quadratic trans-form, power control, beamforming, energy efficiency I. OVERVIEW OPTIMIZATION is a key aspect of communication sys-tem design [3], [4]. This two-part work explores the application of fractional programming (FP) in the design and optimization of communication … sanctuary pptNettetShareable Link. Use the link below to share a full-text version of this article with your friends and colleagues. Learn more. sanctuary posterNettetThis paper presents interactive decision making methods for multiobjective linear, linear fractional and nonlinear programming problems with fuzzy parameters. On the basis of the α -level sets of the fuzzy numbers, the concept of α -multiobjective programming and (local) M- α -Pareto optimality is introduced. sanctuary power yogaIn mathematical optimization, fractional programming is a generalization of linear-fractional programming. The objective function in a fractional program is a ratio of two functions that are in general nonlinear. The ratio to be optimized often describes some kind of efficiency of a system. sanctuary portland