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Optimization Under Constraints: Theory and Applications of Nonlinear Programming

Peter Whittle
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The article was published on 1971-01-01 and is currently open access. It has received 32 citations till now. The article focuses on the topics: Nonlinear programming.

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Applications of second-order cone programming

TL;DR: In this paper, an efficient primal-dual interior-point method for solving second-order cone programs (SOCP) is presented. But it is not a generalization of interior point methods for convex problems.
Journal ArticleDOI

Derivation and analysis of some models for combining trip distribution and assignment

TL;DR: This paper considers commonly used models for two of these stages, trip distribution and traffic assignment, and derives models combining them into a single stage, and reformulated as an equivalent optimatization problem which is solved.
Journal ArticleDOI

Diet optimization with nutrient constraints

TL;DR: It is obvious that the set of prey choices which maximizes caloric intake may or may not constitute a balanced diet for the predator, so it is important to consider the problem of diet optimization with nutrient constraints.
Dissertation

Efficiency loss in market mechanisms for resource allocation

TL;DR: It is shown that in a class of market-clearing mechanisms satisfying certain simple mathematical assumptions and for which there exist fully efficient competitive equilibria, the mechanisms considered uniquely minimize efficiency loss when market participants are price anticipating.
Journal ArticleDOI

Recent developments in stochastic MPC and sustainable development

TL;DR: The aim of this paper is to provide a pilot study that demonstrates the efficacy of stochastic predictive control as a tool for assessing policy in a sustainable development problem concerning allocation of public research and development budgets between alternative power generation technologies.