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A Mathematical Note on Sub-Optimization

Journal of the Operations Research Society of America, 1953
Of the several points discussed in the previous paper [Hitch, C. J. 1953. Jour. Op. Res. Soc. America 1 87.], perhaps only one requires any mathematical restatement or explication. This one is the so-called “Golden Rule” for the allocation of scarce resources.
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Mathematical Programs with Optimization Problems in the Constraints

Operations Research, 1973
This paper considers a class of optimization problems characterized by constraints that themselves contain optimization problems. The problems in the constraints can be linear programs, nonlinear programs, or two-sided optimization problems, including certain types of games.
Jerome Bracken, James T. McGill
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Mathematical Analysis and Optimization of Infiltration Processes

Journal of Scientific Computing, 1998
The title problem is investigated for two equations which describe chemical vapor infiltration. One demonstrates that the process is controlled by only two parameters. To validate the theory, a numerical experiment is presented.
H.-C. Chang   +3 more
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The Mathematics of Optimization

2017
In “Introduction to Optimization Models” (UVA-QA-0682), we explored the basics of using optimization models, or mathematical programming. In this technical note, we turn our attention to the mathematics underlying optimization. While not essential, a deeper understanding of the math can help you become a significantly more effective and efficient user ...
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MOPS — Mathematical optimization system

European Journal of Operational Research, 1994
Abstract This paper discusses a software system for solving large scale linear and mixed-integer optimization models. The system in its present form is the result of several years of research and development. The first functional version of MOPS was completed 1987 for the IBM 6150 (a predecessor of the RS/6000) under AIX.
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Optimality conditions in mathematical programming and composite optimization

Mathematical Programming, 1994
In a very clear manner and with all important proofs new second-order necessary optimality conditions are derived for the problems \(({\mathcal M})\): \(j(x)\to \inf\), s.t. \(x\in B\cap k^{- 1}(C)\), and \(({\mathcal C})\): \(f(x):= g(h(x))\to \inf\), s.t.
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Input optimization: I. Optimal realizations of mathematical models

Mathematical Programming, 1985
Input optimization is a conceptually new level of optimization, at which the mathematical programming model, rather than a usual program, is optimized. This is achieved by optimizing the optimal value function by stable perturbations of the parameters considered as ''input''.
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Application of Mathematical Optimization in Data Visualization and Visual Analytics: A Survey

IEEE Transactions on Big Data, 2023
Chaoqing Xu, Ronghua Liang, Zihao Zhu
exaly  

Mathematical Optimization and Application of Nonlinear Programming

Studies in Fuzziness and Soft Computing, 2021
Miroslav Gombar
exaly  

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