Topic
Nonlinear programming
About: Nonlinear programming is a research topic. Over the lifetime, 19486 publications have been published within this topic receiving 656602 citations. The topic is also known as: non-linear programming & NLP.
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01 Jan 1990
TL;DR: In this paper, a new method is described for the determination of optimal spacecraft trajectories in an inverse-square field using finite, fixed thrust, which employs a piecewise polynomial representation for the state and controls, and collocation, thus converting the optimal control problem into a nonlinear programming problem, which is solved numerically.
Abstract: A new method is described for the determination of optimal spacecraft trajectories in an inverse-square field using finite, fixed thrust. The method employs a recently developed optimization technique which uses a piecewise polynomial representation for the state and controls, and collocation, thus converting the optimal control problem into a nonlinear programming problem, which is solved numerically. This technique has been modified to provide efficient handling of those portions of the trajectory which can be determined analytically, i.e., the coast arcs. Among the problems that have been solved using this method are optimal rendezvous and transfer (including multirevolution cases) and optimal multiburn orbit insertion from hyperbolic approach.
136 citations
TL;DR: In this paper, the authors considered the thermodynamic, economic and emission criteria regarding both CO 2 and NO x emissions of a distributed combined heating, cooling and power generation (tri-generation) system in an urban residential area in Beijing.
136 citations
Book•
26 Aug 1994TL;DR: The Hungarian Method: A Primal-Dual Method for the Assignment Problem and Heuristic Methods for Combinatorial Optimization Problems are reviewed.
Abstract: 1. Introduction. 2. Modeling Linear Programs. 3. Review of Matrix Algebra and Geometry. 4. Duality and Optimality Conditions in LP. 5. Hungarian Method: A Primal-Dual Method for the Assignment Problem. 6. Primal Algorithm for the Transportation Problem. 7. The Simplex Method for General LP. 8. Algorithms for Multiobjective Models. 9. Modeling Integer and Combinatorial Programs. 10. The Branch and Bound Approach. 11. Heuristic Methods for Combinatorial Optimization Problems. 12. Dynamic Programming. 13. Critical Path Methods in Project Management. 14. Nonlinear Programming. Index.
136 citations
TL;DR: In this article, a heat integration representation of Part I is used for the simultaneous optimization or synthesis of the process and its heat exchanger network, where flows and temperatures of the potential heat integrated streams are treated as variables.
136 citations
TL;DR: In this article, the preliminary design of multiple gravity-assist trajectories is formulated as a global optimization problem and the exploration of the resulting solution space is performed through a novel global search approach, which hybridizes an evolutionary based algorithm with a systematic branching strategy.
Abstract: In this paper the preliminary design of multiple gravity-assist trajectories is formulated as a global optimization problem. An analysis of the structure of the solution space reveals a strong multimodality, which is strictly dependent on the complexity of the model. On the other hand it is shown how an oversimplification could prevent finding potentially interesting solutions. A trajectory model, which represents a compromise between model completeness and optimization problem complexity is then presented. The exploration of the resulting solution space is performed through a novel global search approach, which hybridizes an evolutionary based algorithm with a systematic branching strategy. This approach allows an efficient exploration of complex solution domains by automatically balancing local convergence and global search. A number of difficult multiple gravity-assist trajectory design cases demonstrates the effectiveness of the proposed methodology.
135 citations