Optimal capacitor allocation in distribution systems has been studied for a long times. It is an optimization problem which has an objective to define the optimal sizes and locations of capacitors to be installed. In this works, an overview of capacitor placement problem in distribution systems is briefly introduced. The objective functions and constraints of the problem are listed and the meth...

We consider a constrained optimization problem with mixed integer and real variables. It models optimal placement of communications relay nodes in the presence of obstacles. This problem is widely encountered, for instance, in robotics, where it is required to survey some target located in one point and convey the gathered information back to a base station located in another point. One or more...

In this paper we consider the problem of placing eeciently a rectangle in a two-dimensional layout that may not have the bottom-left placement property. This problem arises when we apply any one of a number of iterative improvement algorithms to the cutting stock problem or its variants. Chazelle has given an O(n)-time placement algorithm when the layout has the bottom-left property; we extend ...

DNA replication is an essential process in biology and its timing must be robust so that cells can divide properly. Random fluctuations in the formation of replication starting points, called origins, and the subsequent activation of proteins lead to variations in the replication time. We analyze these stochastic properties of DNA and derive the positions of origins corresponding to the minimum...

This paper deals with the voltage stability problem associated with radial distribution networks. Two load models are studied: the full load flow model (FLFM) and the equivalent generic single-line model (EGSLM). Optimization is then carried out to find the optimal capacitor size that minimizes some costing function, and finally several capacitor placement techniques are studied.

This paper develops upon the work by Kaplan and Kress [7], which considered the operational effectiveness of suicide bomber (SB) detector schemes. Here, we consider the optimal placement of detectors in a threat area where the potential targets are known. The threat area is divided into grids for the purpose of our analysis and can have several entrances. We assume that a SB will explode at a p...

Long-term surveillance of aquatic environments is a costly endeavor, thus a sound strategy is necessary to select the locations of monitoring stations to improve the quality of a monitoring system. This can be accomplished by optimizing the locations of a sensor network with respect to the hydraulic and fate and transport characteristics of the surface water system. It is expected that such an ...

This paper presents optimal phasor measurement units (PMUs) placement algorithms for power system observability. The optimal placement problem (OPP) is formulated such that minimizing the number of PMU installations for full network observability. Three approaches, in this paper, are introduced aiming at reducing the computational burden in Optimal Placement problems. Depth First Search, Simula...

In this paper, we investigate the relay placement and power allocation for decode-and-forward (DF) cooperative relaying over correlated lognormal shadowed Rayleigh fading channels. Assuming that maximum-ratio combining is performed at the destination, we first derive an upper bound of symbol error rate (SER) withM-phase-shift keying (PSK) modulation. Then, three optimization problems are formul...

Camera placement has an enormous impact on the performance of vision systems, but the best placement to maximize performance depends on the purpose of the system. As a result, this paper focuses largely on the problem of task-specific camera placement. We propose a new camera placement method that optimizes views to provide the highest resolution images of objects and motions in the scene that ...