Linear fractional programming
NettetIn mathematics, the relaxation of a (mixed) integer linear program is the problem that arises by removing the integrality constraint of each variable.. For example, in a 0–1 … Nettet13. jun. 2024 · Linear fractional programming. The general form of linear fractional programming is as following: (1) (2) Where, A represents matrix with m row vectors and n column vectors; B and x represent the column vectors with n and m elements, respectively; C and D represent the row vector with n elements, respectively; and α and β means …
Linear fractional programming
Did you know?
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 … Nettet1. jun. 1975 · Fractional programming problems take into account the situations where the decision maker is interested to maximize or minimize the ratios of some functions …
Nettet13. jan. 2024 · Kornbluth JS, Steuer RE (1981) Multiple objective linear fractional programming. Manage Sci 27(9):1024–1039. Article Google Scholar Kumar P, Dutta D (2015) Multi-objective linear fractional inventory model of multi-products with price-dependent demand rate in fuzzy environment. Int J Math Oper Res 7(5):547–565. Nettet10. nov. 2024 · For the minimization of the sum of linear fractions on polyhedra, it is likewise a class of linear fractional programming (LFP). In this paper, we mainly propose a new linear relaxation technique and combine the branch-and-bound algorithm framework to solve the LFP globally. It is worthwhile to mention that the branching operation of the …
Nettet1. apr. 2024 · Quart. 3 71-93.) for linear fractional programming and to the quadratic parametric approach by Ritter (Ritter, K. 1962. Ein Verfahren zur Lösung parameterabhängiger, ... http://www.orstw.org.tw/ijor/vol8no3/1-Vol_8,%20No.%203,%20pp.1-14.pdf
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) …
Nettet27. 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 … first america metal corporationNettetW. Dinkelbach, “On non-linear fractional programming,”Management Science 13 (1967) 492–498. Google Scholar J.A. Ferland and J.Y. Potvin, “Generalized fractional programming: algorithms, and numerical experimentation,”European Journal of Operational Research 20 (1985) 92–101. Google Scholar first america metal corporation fort worth txNettet1. apr. 2024 · Abstract. In this paper, we discuss fully fuzzy linear fractional programming (FFLFP) problems under fuzzy nature with triangular fuzzy numbers. We … first america homes the landingNettetA linear programming approach to test efficiency in multi-objective linear fractional programming problems Applied Mathematical Modelling, Vol. 34, No. 12 Solution of … european touring holidaysNettet25. nov. 2024 · The main purpose of this paper is to delineate an algorithm for fractional programming with nonlinear as well as linear terms in the numerator and … first america homes pine rockNettet31. jan. 2024 · This paper investigates a class of linear fractional programming (LFP) problem, which minimizes the sum of a finite number of linear fractional functions over a polyhedral region. Firstly, the ... first american administrators inc mason ohNettet1. 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 … european tour leaderboard golf bbc sport