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—During the last several years, the Internet has evolved from a wired infrastructure to a hybrid of wired and wireless domains by spreading worldwide interoperability for microwave access (WiMAX), Wi-Fi, and cellular networks. Therefore, there is a growing need to facilitate reliable content delivery over such heterogeneous networks. On the other hand,… (More)

In this paper we present the specification and the structure of EDR Electronic Dictionary which was developed in a nine-year project. The first version of EDR dictionary (V1.0) and its revised version (V1.5) are "already released and are now utilized at many sites for both academic and commercial purposes. We also describe the current status how the EDR… (More)

We are concerned with an M/M-type join the shortest queue (M/M-JSQ for short) with k parallel queues for an arbitrary positive integer k, where the servers may be heterogeneous. We are interested in the tail asymptotic of the stationary distribution of this queueing model, provided the system is stable. We prove that this asymptotic for the minimum queue… (More)

We consider a parallel queueing model which has k identical servers. Assume that customers arrive from outside according to a Poisson process and join the shortest queue. Their service times have an <i>i.i.d</i>. exponential distribution, which is referred to as an M/MJSQ with k parallel queues. We are interested in the asymptotic behavior of the stationary… (More)

We consider a two dimensional reflecting random walk {L } on a nonnegative integer quadrant S ≡ Z 2 + , where Z+ be the set of all nonnegative integers. We assume that it is skip free in all directions. The boundary is composed of three faces defined as Let ∂S = ∪ 2 i=0 ∂Si and S+ = S \ ∂S. Thus, S+ is the interior of the quadrant. We assume that {L } has… (More)

We are concerned with the stationary distribution of a d-dimensional semi-martingale reflecting Brownian motion on a nonnegative orthant, provided it is stable, and conjecture about the tail decay rate of its marginal distribution in an arbitrary direction. Due to recent studies, the conjecture is true for d = 2. We show its validity for the skew symmetric… (More)