1. The probability of no failure occurring with a specific endurance for structural elements experiencing multifactor loading is evaluated. The evaluation is a generalization of the well-known Rzhanitsin expression ob...
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This paper investigates some convergence properties of Fiacco and McCormick's SUMT algorithm. A convex programming problem is given for which the SUMT algorithm generates a unique unconstrained minimizing trajecto...
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This note points out an error in a numerical example of a two-person, zero-sum game with vector payoffs provided by Zeleny [1975]. The resulting solution of the parametric linear programming problem is a mixed strateg...
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In this paper we consider programming problems in which the constraints are linear and the objective function is the product or the quotient of two functions, each function being a homogeneous form of first degree wit...
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The numerical solution of nonlinear programming problems by first-order techniques, such as gradient projection techniques, is difficult when ridges are encountered. Ridges are described and analyzed. Second-order inf...
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The possibility of formulating the static and kinematic methods of plastic analysis theory as dual linear programming problems is extended to the cases of monodimensional structures under combined stresses with piecew...
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A theorem on supports of a convex functional in a real Banach space is proved which provides us with the principal tool to establish certain duality results for a non-linear programming problem in a real Banach space....
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This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion ...
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This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions.
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