منابع مشابه
Optimal location of transportation devices
We consider algorithms for finding the optimal location of a simple transportation device, that we call a moving walkway, consisting of a pair of points in the plane between which the travel speed is high. More specifically, one can travel from one endpoint of the walkway to the other at speed v > 1, but can only travel at unit speed between any other pair of points. The travel time between any...
متن کاملOptimal Location of FACTS Devices to Enhance Power System Security
This paper compares three heuristic methods (SA, TS and GA) applied to the optimal location of FACTS devices in a power system. The optimizations are made on three parameters: the location of the devices, their types and their sizes. The FACTS devices are located in order to enhance the system security. Five types of FACTS controllers are modeled for steady-state studies: TCSC, TCVR, TCPST, SVC...
متن کاملOptimal Location of FACT Devices to Control Reactive Power
This paper concerns the optimal location of Flexible AC Transmission Systems (FACTS) in multimachine power system using Genetic Algorithm. The objective is to obtain the bus voltages of the system within healthy limits. TCSC is the FACT device chosen for the proposed algorithm. The location of FACT devices and their rated values are optimized simultaneously. Simulations are done on a power syst...
متن کاملThe geometry of optimal transportation
A classical problem of transporting mass due to Monge and Kantorovich is solved. Given measures μ and ν on Rd, we find the measure-preserving map y(x) between them with minimal cost — where cost is measured against h(x − y) with h strictly convex, or a strictly concave function of |x − y|. This map is unique: it is characterized by the formula y(x) = x − (∇h)−1(∇ψ(x)) and geometrical restrictio...
متن کاملOptimal Transportation Problem by Stochastic Optimal Control
We solve optimal transportation problem using stochastic optimal control theory. Indeed, for a super linear cost at most quadratic at infinity, we prove Kantorovich duality theorem by a zero noise limit (or vanishing viscosity) argument.. We also obtain a characterization of the support of an optimal measure in Monge-Kantorovich minimization problem (MKP) as a graph. Our key tool is a duality r...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2008
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2008.01.001