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Linear fractional programming

NettetIn this paper, we present a new approach for solving linear fractional programming problem in which the objective function is a linear fractional function, while constraint functions are in the form of linear inequalities. This approach does not depend on the simplex type method. Here first we transform this LFP problem into linear programming ... 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 …

Signomial Geometric Programming Approach to Solve Non-Linear …

Nettet11. apr. 2024 · A Multi-Level Programming Problem (MLPP) is a hierarchical optimization problem where the constraint region of the first level is implicitly determined by the other optimization problems. In this paper, an integer multi-level programming problem is considered. At each level, there are multiple objective functions which are linear … 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 … ontario psychotherapist college https://benalt.net

Fractional programming - Wikipedia

Nettet25. 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 … Nettet27. jan. 2024 · Fractional programming has a great influence in the field of economics, industry, production planning, location analysis, etc. Different techniques have been … In 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. ontario psychotherapist

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Linear fractional programming

optimization - Generalized linear-fractional program

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. Nettet1. apr. 2024 · Abstract. In this paper, we discuss fully fuzzy linear fractional programming (FFLFP) problems under fuzzy nature with triangular fuzzy numbers. We …

Linear fractional programming

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NettetAn effective branch and bound algorithm is proposed for globally solving minimax linear fractional programming problem (MLFP). In this algorithm, the lower bounds are computed during the branch and bound search by solving a sequence of linear relaxation programming problems (LRP) of the problem (MLFP), which can be derived by using a … Nettet1. jun. 2016 · The fuzzy linear fractional programming problem is an important planning tool in different areas such as engineering, business, finance, and economics. In this …

NettetFuzzy Sets and Systems. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home; Browse by Title; Periodicals; Fuzzy Sets and Systems 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 …

NettetLinear-fractional program minimize cTx+d gTx+h subject to Ax ≤ b gTx+h ≥ 0 • if needed, we interpret a/0as a/0=+∞ if a > 0, a/0=−∞ if a ≤ 0 • however, in most … 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.

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Nettet7. jul. 2024 · This paper presents an efficient branch-and-bound algorithm for globally solving a class of fractional programming problems, which are widely used in … ontario psychologist registryNettet13. 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 … ontario psychotherapists associationNettetAbstract. 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 denominator. The algorithm presented is based on a theorem by Jagannathan Jagannathan, R. 1966. On some properties of programming problems in parametric form pertaining to … ontario psychotherapy waypointNettetLINEAR FRACTIONAL FUNCTIONALS PROGRAMMING Kanti Swarup University of Delhi, Delhi 7, India (Received August 8, 1964) The present paper deals with the … ontario public buyers association certificateNettetMixed Integer Programming Basics. The problems most commonly solved by the Gurobi Parallel Mixed Integer Programming solver are of the form: Objective: minimize c T x. Constraints: A x = b (linear constraints) l ≤ x ≤ u (bound constraints) some or all xj must take integer values (integrality constraints) ontario pttw mapNettet5. mai 2013 · Linear fractional programming problems are useful tools in producti on planning, financial and corporate planning, health care and hospital planning and … ontario public buyers associationNettet1. feb. 2015 · To answer your question, yes, the mathematical approach you've taken is correct, and standard. You've combined two transformations: Transforming a linear fractional program to a linear program, as shown by Wikipedia; deducing the transformation is also a problem in some linear programming textbooks (for instance, … ontario pttw login