We demonstrate the use of model predictive control (MPC) for a microgrid with plug-in vehicles. A predictive model is developed based on a hub model of the microgrid, and the control is optimized for minimum generator fuel usage. A variety of horizons and levels of prediction error are used in the optimization. A new method to model expected load and error is presented based on radial basis fun...

Extremal six-dimensional black string solutions with some non-trivial momentum distribution along the wave are considered. These solutions were recently shown to contain a singularity at the would-be position of the event horizon. In the black string geometry, all curvature invariants are finite at the horizon. It is shown that if the effects of infalling matter are included, there are curvatur...

We investigate the connection between the BTZ black holes and the near-horizon geometry of higher-dimensional black holes. Under mild conditions, we show that (i) if a black hole has a global structure of the Reissner-Nordstrom black hole type, its near-horizon geometry is AdS2 times a sphere, and further (ii) if such a black hole is obtained from a boosted black string by dimensional reduction...

We present a brief review of Cosmological Inflation from the personal perspective of the author who almost 30 years ago proposed a way of resolving the problem of Cosmological Horizon by employing certain notions and developments from the field of High Energy Physics. Along with a brief introduction of the Horizon and Flatness problems of standard cosmology, this lecture concentrates on persona...

In a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles discrete steps as a function of area. In the present article we reformulate the combinatorial problem of counting horizon states in terms of paths through a...

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can ...

We present a mechanism for exit from inflation and reheating using the AdS/CFT correspondence. A cosmological evolution is induced on a probe D3-brane as it moves in a black D-brane background of type-0 string theory. If the tachyon field is non zero, inflation is induced on the brane-universe, with the equation of state parameter in the range −1 < w < −1/3, depending on the position of the pro...

The Vehicle Routing Problem with Time Windows (VRPTW) is currently the focus of very intensive research, and is used to model many realistic applications. The overall objective is to serve a set of customers at minimum cost with a fleet of vehicles of finite capacity housed at a central depot. The route of each vehicle starts and ends at the depot. Also, each customer has a known demand (i.e. s...

We present model reduction techniques to improve the efficiency and scalability of verifying probabilistic systems over a finite time horizon. We propose a finite-horizon variant of probabilistic bisimulation for discrete-time Markov chains, which preserves a bounded fragment of the temporal logic PCTL. In addition to a standard partitionrefinement based minimisation algorithm, we present on-th...

this paper proposes a novel technique for solving generation scheduling and ramp rate constrained unit commitment. a modified objective function associated with a new start-up cost term is introduced in this paper. the proposed method is used to solve generating scheduling problem satisfying srr, minimum up and down time as well as ramp rate constraints. two case studies are conducted to implem...