Tourism has witnessed a faster growth (in arrivals) across the globe during last two decades. The market share of developing countries, in tourist arrivals, has increased from 30% in 1980 to 47% in 2012 and is estimated to reach 57% by the year 2030. Tourism has an enormous potential to help promote the economic prosperity in developing countries by creating jobs, generating income and diversif...

We study a canonical real-time scheduling problem for time-slotted collocated wireless networks serving users with diverse real-time requirements and wireless loss patterns arising from fading. We study two traffic patterns: periodic arrivals with deadline equal to period, and renewal arrivals, in which a new packet from a user arrives when the current one leaves. Wireless channel conditions ar...

GERAN (GSM-EDGE Radio Access Network) operators have traditionally used the Erlang B formula to estimate the number of signalling channels on a per-cell basis. Thus, it is assumed that the network behaves as a loss system with Poisson arrivals. However, the presence of automatic retrial mechanisms and correlated arrivals in these channels suggests that these assumptions might not be valid. This...

S U M M A R Y A new theory for the calculation of later seismic arrivals in heterogeneous media is presented. We introduce the concept of a ‘raylet’, which is a segment of a later arriving ray path between source and receiver defined by joint properties of forward and reciprocal traveltime fields. We show that all rays between a single source and receiver in arbitrary heterogeneous media can be...

Example: The stationary Poisson process has a constant rate λ > 0 of customer arrivals. This means the interarrival time A between two consecutive customers is an exponential random variable with the cumulative distribution function A(t) = 1 − e. In order to generate the times of arrivals t1, t2, . . . of customer 1, 2, . . . starting from time t0, we use the inverse transform A−1 recursively.

Communication networks create lot of interest due to their ready applicability in performance evaluation of several communication systems. In communication systems it is customary to consider that the arrivals are characterized by Poisson process. This assumption holds good if the arrivals are homogeneous and independent of time. But in many tele and satellite 1 / 4

We study a general k dimensional infinite server queues process with Markov switching, Poisson arrivals and where the service times are fat tailed index α∈(0,1). When arrival rate is sped up by factor nγ, transition probabilities of underlying chain divided nγ n, we identify two regimes (”fast arrivals”, when γ>α, and” equilibrium”, γ=α) in which prove that properly rescaled converges pointwise...