In this paper, we present an integrodifferential diffusion equation for continuous-time random walk that is valid for a generic waiting time probability density function. Using this equation, we also study diffusion behaviors for a couple of specific waiting time probability density functions such as exponential and a combination of power law and generalized Mittag-Leffler function. We show tha...

Abstract. We study message transfer in a 2− d communication network of regular nodes and randomly distributed hubs. We study both single message transfer and multiple message transfer on the lattice. The average travel time for single messages travelling between source and target pairs of fixed separations shows q−exponential behaviour as a function of hub density with a characteristic power-la...

Travel time reliability assessment has been widely used in recent years to evaluate the performance of transportation networks and measure operation level systems. Weather, as one important factors influencing travel reliability, affects relationship between supply requirement urban road networks. Considering traffic characteristics under different conditions, a study on influence weather condi...

This paper presents the various transportation application problems where travel time is an important variable and a factor. The paper demonstrates the limitation of the flow based travel time functions. The paper presents a density based travel time function. Following this, the paper develops a fundamental theory of travel time dynamics that is built from a given fundamental traffic relations...

[1] Multiple regimes in the atmospheric zonal-mean flow of the Southern Hemisphere are examined using 53 years of daily observational analysis data. Estimates of the probability density function in the reduced-phase space spanned by the two leading empirical orthogonal functions (EOFs) are found to exhibit significant deviations from bivariate Gaussianity. Two major regimes are identified, whic...

we propose a wavelet based stochastic regression function estimator for the estimation of the regression function for a sequence of pairwise negative quadrant dependent random variables with a common one-dimensional probability density function. some asymptotic properties of the proposed estimator are investigated. it is found that the estimators have similar properties to their counterparts st...