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Minmax and duality in nonlinear programming
AbstractRecently in an important paper Stoer gave a necessary and sufficient condition for the existence of a saddle point of a function when certain assumptions are satisfied, and derived some duality relations from this result. The purpose of this paper is (1) to weaken Stoer's hypotheses and simplify his crucial condition, the so-called B-property ...
O. L. Mangasarian, J. Ponstein
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Description of a Program for Nonlinear Programming: the Centroid Program [PDF]
Considered is a problem of non-linear programming in the form \(g_ e(x)\leq 0\), \(e=1,2,...,M\), f(x)\(\to \min\), where g and f are non-linear functions of the independent variable \(x=\{x_ 1,x_ 2,...,x_ t,...,x_ n\}\). We then define the penalty function \(F=\sum_{e}g^+_ e\), where \(g_ e>0\to g^+_ e=g_ e\), \(g_ e\leq 0\to g^+_ e=0\), and by an ...
J. Mottl
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Symmetric dual nonlinear programs [PDF]
George B. Dantzig+2 more
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Description of a program for nonlinear programming: special problem of bivalent nonlinear programming [PDF]
J. Mottl
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James Killen
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This article presents a nonlinear programming mathematical model that coordinates inventories and production in alogistics network made up of plants, distributors, and retailers.
César Augusto Pineda Pérez
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Nonlinear programming in complex space
Oma Rani, R. N. Kaul
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To solve the problem of long logistics delivery time in supply chain, a Mixed Integer Non-linear Program (MINLP) model is built by using Mixed Integer nonlinear programming theory.
Yanqi Zhang+5 more
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In this paper, the Fischer–Burmeister active-set trust-region (FBACTR) algorithm is introduced to solve the nonlinear bilevel programming problems. In FBACTR algorithm, a Karush–Kuhn–Tucker (KKT) condition is used with the Fischer–Burmeister function to ...
Bothina Elsobky, Gehan Ashry
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Solving Non-linear Neutrosophic Linear Programming Problems [PDF]
Non-linear neutrosophic numbers (NLNNs) are different kinds of neutrosophic numbers with at least one non-linear membership function (either of truthiness, falsity or indeterminacy part) of the information.
Kailash Lachhwani
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