We investigate Monte Carlo based algorithms for solving stochastic control problems with local probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while maintaining low probability of blackouts at each step. The key question we are empirical simulation procedures learning state-dependent admissible set th...

The tracking of space objects requires frequent and accurate monitoring for collision avoidance. As even collision events with very low probability are important, accurate prediction of collisions require the representation of the full probability density function (PDF) of the random orbit state. Through representing the full PDF of the orbit state for orbit maintenance and collision avoidance,...

The failure probability of the structures is one of the challenging problems in structural engineering. To obtain the reliability index introduced by Hasofer and Lind, one needs to solve a nonlinear equality constrained optimization problem. In this study, four of the most recent metaheuristic algorithms are utilized for finding the design point and the failure probability of problems with cont...

type i, , K , 1 i = who finds the server free begins to get service inmediately and leaves the system after completion. Otherwise, if the server is busy, the customer with probability 1 Hi leaves the system without service and with probability Hi > 0 joins an orbit of repeated customer but conserves its own type. The intervals separating two succesive repeated attempts of each customers from th...

An orbit geometry where the central projection ray of the detector is not constrained to pass through the center-of-rotation for all projection angles can be useful to reduce uniformity artifacts and to avoid truncation when imaging non centrally located organs. We present a backprojection filtering algorithm for parallel geometry with an elliptical orbit acquisition and verify the algorithm by...

ABSTRACT We have developed a new, fast method of estimating the orbital properties binary or triple system using as few two epochs astrometric data. fobos (Few Observation Binary Orbit Solver) uses flat prior brute force Monte Carlo to produce probability density functions likely parameters. test code on fake observations and show that it can (fairly often) constrain semi-major axis within fact...

Every non-amenable countable group induces orbit inequivalent ergodic equivalence relations on standard Borel probability spaces. Not every free, ergodic, measure preserving action of F2 on a standard Borel probability space is orbit equivalent to an action of a countable group on an inverse limit of finite spaces. There is a treeable non-hyperfinite Borel equivalence relation which is not univ...

Abstract: We present equations governing the way in which both the orbit and the intrinsic spins of stars in a close binary should evolve subject to a number of perturbing forces, including the effect of a third body in a possibly inclined wider orbit. We illustrate the solutions in some binary-star and triple-star situations: tidal friction in a wide but eccentric orbit of a radio pulsar about...