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Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
On a truncated Erlang queuing system with bulk arrivals, balking and reneging
truncated Erlang queuing system bulk arrivals balking reneging
2010/9/13
The aim of this paper is to derive the analytical solution of the queue:Mx /Ek /I/N with balking and reneging in which
i) Units arrive in batches of random size with the interarrival times of batches...
On Poisson bulk arrival queue: M^X/M/2/N with balking, reneging and heterogeneous servers
Heterogeneous servers batch arrival balking reneging
2010/9/10
The aim of this paper is to derive the analytical solution of the queue: M X/M/2/Nfor batch arrival system with balking, reneging and two heterogeneous servers. A modified queue discipline to the clas...
The non-truncated bulk arrival queue M^x/M/1 with reneging, balking, state-dependent and an additional server for longer queues
Non-truncated queue longer queues Balking Reneging concept
2010/9/10
The aim of this paper is to derive the solution of the non-truncated queue: Mx/M/1 with reneging, balking, state-dependent and an additional server for longer queues. In this case the units arrive in ...