This paper considers horizon effects on portfolio weights under time varying and forecastable return volatility. The return volatility is modelled as a GARCH-M, which is general enough to encompass both constant and time varying mean. The analysis confirms earlier results, namely that there are no horizon effects when the stochastic process, that governs asset returns, has constant mean. Howeve...

General laws of black-hole dynamics, some of which are analogous to the laws of thermodynamics, have recently been found for a general definition of black hole in terms of a future outer trapping horizon, a hypersurface foliated by marginal surfaces of a certain type. This theory is translated here into spin-coefficient language. Second law: the area form of a future outer trapping horizon is g...

The length of the future horizon is one of the principal “user choices” in subspace identification. It is well known that for the CCA algorithm the asymptotic variance decreases as the future horizon increases when input signals are white (or absent). There are also examples, when the input is not white, in which the asymptotic variance is minimized when the future horizon is equal to the syste...

periodic vehicle routing problem focuses on establishing a plan of visits to clients over a given time horizon so as to satisfy some service level while optimizing the routes used in each time period. this paper presents a new effective heuristic algorithm based on data mining tools for periodic vehicle routing problem (pvrp). the related results of proposed algorithm are compared with the resu...