A simple physical model of the way fire engines travel leads to the hypothesis that T, the average fire engine travel time, depends on D, the distance travelled according to T(D) = 2(D/a)'12 if D ? d and T(D)=v,/a+D/v, if D>d. The parameter a can be interpreted as an acceleration and v, as a cruising velocity. A field experiment was run, and the above model validated and the parameters estimate...

One of user's queries from navigation service is to find the nearest facility in terms of time. The facility that is being questioned by the user as a destination may have a queuing service system (e.g. bank), which means that the cost function of the shortest path includes the waiting time at the destination as well as the travel time. This research conducts in the zone 1 of Mashhad with Bank ...

This paper extends the analysis of the value of mean travel time (VMTT) and day-to-day travel time variability (VTTV) from single, isolated trips to daily trip chains, considering the effects of flexibility in activity scheduling and within-day correlation of travel times. Using a multi-stage stochastic programming approach, we show that the VMTT and VTTV on a trip is conditional on the realize...

In transportation networks, it is more useful to think of costs on links as travel times as opposed to distances. Furthermore, while distances are usually constant, deterministic values, between nodes, travel times often vary substantially, as a result of incidents, road conditions, weather, traffic volume and drivers' preferences, among others. Recent research has developed a variety of algori...

An approximate analytical approach to describe the stochastic motion of sound rays in deep ocean is developed. This is done for a realistic propagation model with an internal wave induced perturbation imposed on the smooth background sound speed field. The chaotic ray dynamics is analyzed using the Hamiltonian formalism taken in terms of the action-angle canonical variables. It is shown that ev...