On the behavior of LIFO preemptive resume queues in heavy traffic.
Limic, Vlada (2000)
Electronic Communications in Probability [electronic only]
Kovalenko, Igor N., Atkinson, J.Ben (1994)
Journal of Applied Mathematics and Stochastic Analysis
Domenech-Benlloch, M.Jose, Gimenez-Guzman, Jose Manuel, Pla, Vicent, Martinez-Bauset, Jorge, Casares-Giner, Vicente (2010)
Mathematical Problems in Engineering
Bratiychuk, Mykola, Chydzinski, Andrzej (2003)
Journal of Applied Mathematics and Stochastic Analysis
Dshalalow, Jewgeni H. (1997)
Journal of Applied Mathematics and Stochastic Analysis
Natalia V. Djellab (2002)
RAIRO - Operations Research - Recherche Opérationnelle
Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.
Natalia V. Djellab (2010)
RAIRO - Operations Research
Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.
Oldřich Vašíček (1967)
Kybernetika
Oleg Tikhonenko, Wojciech M. Kempa (2013)
Kybernetika
A multi-server -type queueing system with a bounded total volume and finite queue size is considered. An AQM algorithm with the “accepting” function is being used to control the arrival process of incoming packets. The stationary queue-size distribution and the loss probability are derived. Numerical examples illustrating theoretical results are attached as well.
Natalia V. Djellab (2006)
The Yugoslav Journal of Operations Research
Choi, Bong Dae, Han, Dong Hwan, Falin, Guennadi (1993)
Journal of Applied Mathematics and Stochastic Analysis
Wojciech M. Kempa (2014)
Kybernetika
A queueing system with batch Poisson arrivals and single vacations with the exhaustive service discipline is investigated. As the main result the representation for the Laplace transform of the transient queue-size distribution in the system which is empty before the opening is obtained. The approach consists of few stages. Firstly, some results for a ``usual'' system without vacations corresponding to the original one are derived. Next, applying the formula of total probability, the analysis of...
R. Bellamine, J. Pellaumail (1989)
RAIRO - Operations Research - Recherche Opérationnelle
Rakesh Kumar Verma (1982)
Kybernetika
Jesus R. Artalejo, Antonis Economou (2004)
RAIRO - Operations Research - Recherche Opérationnelle
We consider a Markov decision process for an queue that is controlled by batches of negative customers. More specifically, we derive conditions that imply threshold-type optimal policies, under either the total discounted cost criterion or the average cost criterion. The performance analysis of the model when it operates under a given threshold-type policy is also studied. We prove a stability condition and a complete stochastic comparison characterization for models operating under different...
Jesus R. Artalejo, Antonis Economou (2010)
RAIRO - Operations Research
We consider a Markov decision process for an MX/M/1 queue that is controlled by batches of negative customers. More specifically, we derive conditions that imply threshold-type optimal policies, under either the total discounted cost criterion or the average cost criterion. The performance analysis of the model when it operates under a given threshold-type policy is also studied. We prove a stability condition and a complete stochastic comparison characterization for models operating under different...
Viliam Makiš (1985)
Kybernetika
Dudin, Alexander N., Nishimura, Shoichi (1999)
Mathematical Problems in Engineering
Olga V. Semenova (2004)
RAIRO - Operations Research - Recherche Opérationnelle
A single-server queueing system with a batch markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.
Olga V. Semenova (2010)
RAIRO - Operations Research
A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.