A correlated MG1-type queue with randomized server repair and maintenance modes

Otomati̇k Paketleme Si̇stemi̇ni̇n Ariza/ Tami̇r Bakim İşlemleri̇nde Veri̇mli̇li̇k Ve Tampon Stok Sevi̇yesi̇ Beli̇rlenmesi̇

“…Bu tür duruma uyan çok sayıda örnek vardır. Bu örnekler üç grupta toplanabilir (Perry ve Posner, 2000). 1) Tampon stoğun üretimdeki bir makine için yapılması durumu: Örneğin araba üretim hattında gövdeyi oluşturan metali kesen makine üretim hattı için gereğinden daha fazla sayıda üreterek duruş anında üretimin kesilmesini engellemektedir.…”

Queueing Systems With N-Limited Nonstop Forwarding

“…The matrix G is obtained by solving iteratively the equation (2) or by using the cyclic-reduction algorithm [13]. The stationary probability vector x is computed recursively using either Ramaswami's recursive formula [14] or its fast FFT version [15].…”

“…For this reason, queueing systems with servers subject to breakdowns and repairs have been studied extensively. For related works, refer to [2,3,4,5,6,7,8,9,10], where customers who find the server broken down should wait in the queue, without being serviced, until the server is repaired.…”

The impact of overload conditions on computer network reliability

“…In [10], the management policy of an M/G/1 queue with a single removable and non-reliable server is discussed and analytic results are explored, using an efficient Matlab program to calculate the optimal threshold of the management policy and to evaluate system performance. In [11], the authors consider a single machine subject to breakdown and employ a fluid queue model with repair. In [12], the behaviour of a heterogeneous finite-source system with a single server is considered and applications in the field of telecommunications and reliability theory are treated.…”