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Optimality Conditions and Duality for a Class of Nondifferentiable Generalized Fractional Programming

Author: GaoYing
Tutor: RongWeiDong
School: Inner Mongolia University
Course: Operational Research and Cybernetics
Keywords: Operations Research Nondifferentiable generalized fractional programming Generalized Convexity Constraint qualification Optimality conditions Duality theorem
CLC: O221
Type: Master's thesis
Year: 2007
Downloads: 59
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Abstract


Subset X of R ~ n this study on a class of nondifferentiable generalized fractional programming problems with inequality constraints . First , X non-empty open set ( convex set ) , the constraint function is continuously differentiable case , to discuss the single target generalized fractional programming problem ( FP ) . Then , in X is a closed convex sets ( convex set ) , the constraint function is locally Lipschitz ( continuously differentiable ) case , discussed generalized fractional programming problems ( FVP ) of the multi-objective . Problem (FP) and (FVP) of a series of new results about the optimality conditions and duality theory .

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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Planning Theory ( mathematical programming)
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