This paper introduces a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model, and determines the time-dependent performance functions. The fluid model has time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Two key assumptions are that: (i) the system alternates between overloaded and...

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We introduce and analyze a deterministic fluid model that serves as an approximation for the Gt/GI/st + GI many-server queueing model, which has a general time-varying arrival process (the Gt), a general service-time distribution (the first GI), a time-dependent number of servers (the st) and allows abandonment from queue according to a general abandonment-time distribution (the +GI). This flui...

Viruses that affect lagomorphs have decades of reported history spillover events. One these viruses is the causative agent so-called rabbit or ‘lagomorph’ haemorrhagic disease (e.g. Lagovirus europaeus/GI.1 and L. europaeus/GI.2). In particular, europaeus/GI.2 has shown a great capacity to recombine with existing lagoviruses. fact, it replaced former GI.1 genotype in wild, recently, an increase...

In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compac...

In this study, we propose approximations to compute the steady-state performance measures of the M/GI/N + GI queue receiving Poisson arrivals with N identical servers, and general service and abandonment-time distributions. The approximations are based on scaling a single server M/GI/1 + GI queue for which we suggest a practical way to compute the waiting time distributions and their moments. T...

Around 2–4 in 1,000 people in Northern Europe have ulcerative colitis or Crohn’s disease (Rubin 2000). Both are chronic, relapsing, inflammatory disorders of the gastrointestinal tract with several shared clinical features, but with largely distinct risk factors, genetic, immunological, anatomical and histological features, and response to therapy (DTB 2003). Their treatment, which includes med...