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Noncoercive Optimization Problems

Mathematics of Operations Research, 1996
This paper modifies a recent sufficient condition for the existence of optimal solutions proposed by Buttazzo and Tomarelli, to obtain a condition that is necessary and sufficient. Applications to mathematical programming are given and stability results established.
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Problems of Order Optimization

Journal of Mathematical Sciences, 2002
In the introduction, different results concerning the investigation of monotone Boolean functions are presented, and it is mentioned that the aim of this paper is a restatement of a class of combinatorial problems in terms of the order optimization on finite partially ordered sets.
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Thickness optimization problem

Optimization, 1988
An optimal control problem governed by a variational inequality of elliptic type is considered. Necessary optimality conditions are obtained and, in some special cases, the optimal control is determined.
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The Optimization Problem

2021
Throughout the ages, man has continuously been involved with the process of optimization. In its earliest form, optimization consisted of unscientific rituals and prejudices like pouring libations and sacrificing animals to the gods, consulting the oracles, observing the positions of the stars, and watching the flight of birds.
Andreas Antoniou, Wu-Sheng Lu
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Optimality Conditions for Vector Optimization Problems

Journal of Optimization Theory and Applications, 2009
The paper considers vector optimization problems (VOP) of the form \[ \min F(x) \text{ subject to } u_i(x) \leq 0, i\in\{1, \dots, m\}; v_j(x) =0, j\in\{1, \dots, n\}, \] where \(F:X \rightarrow \mathbb{R}^L\) and \(u_i, v_j: X\rightarrow \mathbb{R}\) and \(X\) is a Banach space.
Huang, N. J., Li, J., Wu, S. Y.
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Optimal Investment Problems

2020
Die umfassende Frage, die sich jedem Investor, jedem Vermogensverwalter in der einen oder anderen Form stellt, und der wir uns im Folgenden – allerdings nur in ihren Grundzugen – widmen werden, lautet:
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On the Optimal Sizing Problem

Journal of the Operational Research Society, 1994
Summary: The paper studies the problem of determining the number and dimensions of sizes of apparel so as to maximize profits. It develops a simple one- variable bisection search algorithm that gives the optimal solution. An example is solved interactively using a Macintosh LC and Math CAD, a mathematical software package.
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A Problem in Reliability Optimization

Journal of the Operational Research Society, 1986
Summary: We consider the system efficiency measure as the average asymptotic gain earned by the system for one time unit. Such defined efficiency is a continuous function of the load that the system is to support. Each increment of the load causes an increment of the gain.
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The PrePack Optimization Problem

2014
The goal of packing optimization is to provide a foundation for decisions related to inventory allocation as merchandise is brought to warehouses and then dispatched. Major retail chains must fulfill requests from hundreds of stores by dispatching items stored in their warehouses. The demand for clothing items may vary to a considerable extent from one
Hoskins, Maxim   +5 more
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Optimization Problems for Moment Inequalities and Related Problems of Optimal Control

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1975
AbstractThis paper describes two optimization problems (OMi) for the solutions of a system of so called moment inequalities and two corresponding problems (OCi) of optimal control to systems, whose state functions are represented by the control parameters and functions in a source‐like manner.
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