The paper focuses on two topics, optimizing the proposed triangular tube for crashworthiness and solving a non-linear programming problem by a "mapping" technique, which the condition of Lagrange Multiplier ...
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The paper focuses on two topics, optimizing the proposed triangular tube for crashworthiness and solving a non-linear programming problem by a "mapping" technique, which the condition of Lagrange Multiplier Theorem is violated within the feasible region. The purpose of studying optimized triangular tubes is to prepare them for redesigning vehicle bumpers. The dimension optimization of triangular tube is carried out for its thickness and lateral length, based on the accomplished shape optimization under an impact. The load uniformity is taken as the objective function, which is defined as the ratio of maximum peak force and means crushing force. Meanwhile the mean crushing force and absorbed energy are treated as constraints. Based on FEA analysis, the regression functions for load uniformity, mean crushing force, and absorbed energy are formulated by RSM. The result has shown that triangular tube possesses an optimization region, under which the better-integrated property can be achieved to supply a more safety environment for vehicular occupants.
In this paper, we focus on solving non-linear programming (NLP) problems using quantum-behaved particle swarm optimization (QPSO). After a brief introduction to the original particle swarm optimization ( PSO), we desc...
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In this paper, we focus on solving non-linear programming (NLP) problems using quantum-behaved particle swarm optimization (QPSO). After a brief introduction to the original particle swarm optimization ( PSO), we describe the origin and development of QPSO, and the penalty function method for constrained NLP problems. The performance of QPSO is tested on some unconstrained and constrained benchmark functions and compared with PSO with inertia weight (PSO-In) and PSO with constriction factor (PSO-Co). The experimental results show that QPSO outperforms the traditional PSOs and is a promising optimization algorithm.
This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-M...
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This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-Mars rendezvous has been chosen for studying such effects. It turns out that irradiance-fluctuation perturbations are large in this trajectory type. (C) 2010 Elsevier Ltd. All rights reserved.
This paper reviews alternative market equilibrium models for policy analysis. The origin of spatial equilibrium models and their application to wood and wood-processing industries are described. Three mathematical pro...
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This paper reviews alternative market equilibrium models for policy analysis. The origin of spatial equilibrium models and their application to wood and wood-processing industries are described. Three mathematical programming models commonly applied to solve spatial problems - namely linearprogramming, non-linear programming and mixed complementary programming - are reviewed in terms of forms of objective functions and constraint equalities and inequalities. These programming are illustrated with numerical examples. linearprogramming is only applied in transportation problems to solve quantities trans, ported between regions when quantities supplied and demanded in each region are already known. It is argued that linearprogramming can be applied in broader context to transportation problems where supply and demand quantities are unknown and are linear. In this context, linearprogramming is seen as a more convenient method for modelers because it has a simpler objective function and does not require as strict conditions, for instance the equal numbers of variables and equations required in mixed complementary programming. Finally, some critical insights are provided on the interpretation of optimal solutions generated by solving spatial equilibrium models.
This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-M...
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This paper is the second one of a research line whereupon the variations of the total solar irradiance are explicitly included in a large high-precision computer code for sailcraft trajectory optimization. Sailcraft-Mars rendezvous has been chosen for studying such effects. It turns out that irradiance-fluctuation perturbations are large in this trajectory type. (C) 2010 Elsevier Ltd. All rights reserved.
Converting power flow calculation of power system into the solution searching of a non-linear programming model. The divergence problem of ill-condition system calculation is settled. It is also a convenient way to ju...
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ISBN:
(纸本)9781424408276
Converting power flow calculation of power system into the solution searching of a non-linear programming model. The divergence problem of ill-condition system calculation is settled. It is also a convenient way to judge whether the general power flow calculation has feasible solutions or not. Get the correction equations by Newton method, LDLT decomposition method will be used to solve it. The coefficient matrix of correct equation is reordered by using AND reordering algorithm, thus the fill-in elements in LDLT decomposition is reduced significantly, which improves the calculating speed considerably. Proposed module and algorithm possess significant simplifying structure and can be implement or program easily with a novel vectorization expression. The adaptability and maintainability are improved greatly, too. Numerical simulations on test systems ranging in size from 118 to 1047 buses validate the correctness of the proposed model and method.
The circular packing problem (CPP) consists of packing n circles C-i of known radii r(i), i is an element of N = {1, ..., n}, into the smallest containing circle C. The objective is to determine the coordinates (x(i),...
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The circular packing problem (CPP) consists of packing n circles C-i of known radii r(i), i is an element of N = {1, ..., n}, into the smallest containing circle C. The objective is to determine the coordinates (x(i), y(i)) of the centre of C-i, i is an element of N, as well as the radius r and centre (x,y) of C. CPP, which is a variant of the two-dimensional open-dimension problem, is NP hard. This paper presents an adaptive algorithm that incorporates nested partitioning within a tabu search and applies some diversification strategies to obtain a (near) global optimum. The tabu search is to identify the n circles' ordering, whereas the nested partitioning is to determine the n circles' positions that yield the smallest r. The computational results show the efficiency of the proposed algorithm. Journal of the Operational Research Society (2011) 62, 1917-1930. doi:10.1057/jors.2010.157 Published online 24 November 2010
This paper establishes the optimization model based on the Problem C of 2010 China Undergraduate Mathematical Contest in *** the Problem I,according to the different relative locations between
This paper establishes the optimization model based on the Problem C of 2010 China Undergraduate Mathematical Contest in *** the Problem I,according to the different relative locations between
With the rapid development of social economy, the society water consumption has increased dramatically which also lead to sharp contradiction between supply and demand, so how to allocate limited water resources r...
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With the rapid development of social economy, the society water consumption has increased dramatically which also lead to sharp contradiction between supply and demand, so how to allocate limited water resources reasonable has become a reality and urgent task of water management. With the author further studying the reservoir regulation theory and mechanism, the deterministic optimization is developed based on multi-objective optimizing reservoir scheduling model, using nonlinearprogramming as optimization algorithm for constructing the universal optimizing reservoir scheduling model And based on multi-objective thought, it has produced a set of Pareto frontier solution set, through the temple, the application of EPing hydropower station get a series of decisionmaking plan, so that policymakers can choose the preference for decision-making plan.
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