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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...

Feature modeling is an important approach to dealing with variability at an abstract level in a hierarchical manner extensively used in software product lines. For its use in conjunction with other UML models and MDA approach, it is important to correctly integrate feature modeling into UML. In this paper, we present an approach to integrating feature modeling into UML that respects abstractnes...

We obtain a heavy-traffic limit for the GI/M/n+GI queue which includes the entire abandonment distribution. Our main approach is to scale the hazard rate function in an appropriate way such that our resulting diffusion approximation contains the entire hazard rate function. We then show through numerical studies that for various key performance measures, our approximations outperform those comm...