In this paper we propose a new method which enables us to obtain exact parametric solutions for multiparametric programming problems, that is the optimal solutions as a function of the varying parameters, using symbol...
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Parameter optimization in metal cutting processes plays a key role in satisfying quality requirements of machined parts at low cost. This paper addresses multi-pass face-milling operations. A variety of solution metho...
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In this paper, we consider a nonlinear optimization problem with inequality constraints. The paper addresses the degenerate case when the active constraint gradients axe linearly dependent at the solution, and the Man...
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ISBN:
(纸本)3540401555
In this paper, we consider a nonlinear optimization problem with inequality constraints. The paper addresses the degenerate case when the active constraint gradients axe linearly dependent at the solution, and the Mangasarian-Fromovitz constraint qualification fails to hold. For this case, we present new generalized p-order necessary optimality conditions. The conditions subsume the classical conditions and give new and nontrivial conditions for the degenerate case. The presented results can be considered as a part of the p-regulaxity theory.
Genetic algorithm is a kind of common method to solve nonlinear programming problems. To improve the computational efficiency of the algorithm, a genetic algorithm based on a new real code (NRCGA) was proposed, which ...
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This paper presents a method to optimal design of parameters for digital controllers using a nonlinear programming technique. Firstly, the performance index and constraint functions in terms of controller's parame...
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The discrete-integer-continuous variable nonlinear optimization problem is defined and categorized into several different types. An overview of methods for solving such problems is presented and characteristics of eac...
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The discrete-integer-continuous variable nonlinear optimization problem is defined and categorized into several different types. An overview of methods for solving such problems is presented and characteristics of each method are cataloged. It is important to select appropriate methods and implement them into a general purpose software for solving mixed variable problems. The study reveals that there are very few methods that can treat general nonlinear discrete optimization problems. The branch and bound, simulated annealing, genetic algorithm, and some heuristic methods are found to be the most general methods. Some of the methods are implemented into a program for general applications. Several example problems are solved to study performance of the methods. It is concluded that solution of the mixed variable optimization problems usually requires considerably more computational effort compared to the continuous variable optimization problems. In addition, there is no guarantee that the best solution has been obtained.
This paper considers the problem of patrolling multiple targets in a Euclidean environment by a single patrolling unit. We use game-theoretic approach and model the problem as a two-player zero-sum game in the extensi...
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One of the principal goals of the W7-X stellarator is to demonstrate good confinement of energetic ions at finite 8 . This confinement is however sensitive to details of the magnetic field configuration and is thus vu...
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ISBN:
(纸本)9781618395931
One of the principal goals of the W7-X stellarator is to demonstrate good confinement of energetic ions at finite 8 . This confinement is however sensitive to details of the magnetic field configuration and is thus vulnerable to small design modifications of the coil geometry. Here, the collisionless drift orbit losses for 60keV protons in W7-X are studied using the ANTS code. Several approaches to adjust the coil currents (5 main field coil currents + 2 auxiliary coil currents) for improved confinement were applied. These strategies include human experience as well as nonlinear optimisation of various properties of the magnetic field. It is shown that significant improvement of fast particle confinement can be achieved. As a consequence, the experimental goal of demonstrating confinement improvement with rising plasma pressure is recovered.
This paper describes an optimal strategy for defending against an attacking missile with a team of cooperating defending missiles. The motivation is to allow us to compare a single high-cost defending missile to a tea...
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The rapid development of renewable energy and the widespread adoption of electric vehicles (EVs) have brought new opportunities and challenges to the power system. This paper proposes a multi-timescale optimization me...
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