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Methods of Mathematical Optimization [PDF]
Numerical 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 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].
Bethany L. Nicholson+6 more
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Mathematically Optimizing Water Management
Critical Transitions in Water and Environmental Resources Management, 2004Software for formally optimizing groundwater and conjunctive water management has improved dramatically in recent years. Historically utilized have been a range of classical and heuristic optimization methods, and of simulator and surrogate simulator techniques.
Peralta, Richard C., Kalwij, I. M.
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A mathematical framework for optimal foraging of herbivores
Journal of Mathematical Biology, 1995The aim of this paper is to study a model of optimal foraging of herbivores (with special reference to ungulates) assuming that food distribution is arbitrary. Usually the analysis of foraging of herbivores in the framework of optimal foraging theory is based on the assumption of a patchy food distribution.
S. FOCARDI, MARCELLINI, PAOLO
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Mathematical approaches to optimization of cancer chemotherapy
Bulletin of Mathematical Biology, 1979This paper uses optimal control theory in conjunction with a Gompertzian type model for cellular growth to determine the optimal method of administering cycle non-specific chemotherapy or more generally the optimal durations of treatment and rest periods during chemotherapy.
S. Zietz, Claudio Nicolini
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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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Optimality conditions in mathematical programming and composite optimization
Mathematical Programming, 1994In 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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Mathematical optimization of rolling stock rotations
, 2017We show how to optimize rolling stock rotations that are required for the operation of a passenger timetable. The underlying mathematical ptimization problem is called rolling stock rotation problem (RSRP) and the leitmotiv of the thesis is RotOR, i.e ...
M. Reuther
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Advances in Mathematical Modeling, Optimization and Optimal Control
2016This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Krakow, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control.
Hiriart-Urruty, Jean-Baptiste+3 more
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Mathematical Optimization Techniques [PDF]
Joseph P. LaSalle, Richard Bellman
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