Displaying similar documents to “PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors.”

Linear fractional program under interval and ellipsoidal uncertainty

Maziar Salahi, Saeed Fallahi (2013)

Kybernetika

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In this paper, the robust counterpart of the linear fractional programming problem under linear inequality constraints with the interval and ellipsoidal uncertainty sets is studied. It is shown that the robust counterpart under interval uncertainty is equivalent to a larger linear fractional program, however under ellipsoidal uncertainty it is equivalent to a linear fractional program with both linear and second order cone constraints. In addition, for each case we have studied the dual...

Algorithm for turnpike policies in the dynamic lot size model

Stanisław Bylka (1996)

Applicationes Mathematicae

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This article considers optimization problems in a capacitated lot sizing model with limited backlogging. Nothing is assumed about the cost function in the case of finite restrictions of the size on the stock and backlogs. The holding and backlogging costs are functions assumed to be stationary or nearly stationary in time. In both cases, it is shown that there exists an optimal infinite inverse policy and a periodical turnpike policy. Some forward and backward procedures are adopted...

Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

Boris S. Mordukhovich, Jiří V. Outrata (2013)

Kybernetika

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The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian-Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization....