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Toward large reasoning models: A survey of reinforced reasoning with large language models. [PDF]
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MOPS — Mathematical optimization system
European Journal of Operational Research, 1994Abstract 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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A Mathematical Note on Sub-Optimization
Journal of the Operations Research Society of America, 1953Of 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 Optimization Techniques
2011The objectives of this chapter are: Explaining some optimization techniques. Explaining the minimum norm theorem and how it could be used as an optimization algorithm, where a set of equations can be obtained. Introducing the fuzzy system as an optimization technique.
Soliman Abdel-Hady Soliman +1 more
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Methods of Mathematical Optimization
1989Numerical optimization methods offer a surprisingly advanced design methodology for application to engineering design. The concepts are not particularly difficult, it is only that they are unfamiliar to most practicing engineers. The purpose here is to outline the general methods of numerical optimization and to identify areas where these techniques ...
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Mathematical Fundamentals of Optimization
2021The fundamental principle of model predictive control (MPC) is the solution of an optimization problem in real time. The optimization problem is designed in such a way that it reflects the goals of the control algorithm. For the development of MPC controllers for complex engine tasks, a solid knowledge of optimization is required. This chapter provides
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Mathematical Modeling and Optimization
2017This chapter provides a primer on optimization and mathematical modeling. It does not provide a complete description of these topics. Instead, this chapter provides enough background information to support reading the rest of the book. For more discussion of optimization modeling techniques see, for example, Williams [86].
William E. Hart +6 more
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