scholarly journals Queues with interruption in Markovian environment

2018 ◽  
Vol 58 (2) ◽  
pp. 493-501 ◽  
Author(s):  
Xiao Zhao ◽  
Yong-Qiang Li ◽  
Liu-Yong Cheng ◽  
Guo-Hui Yang

1984 ◽  
Vol 14 (1) ◽  
pp. 23-43 ◽  
Author(s):  
Jean-Marie Reinhard

AbstractWe consider a risk model in which the claim inter-arrivals and amounts depend on a markovian environment process. Semi-Markov risk models are so introduced in a quite natural way. We derive some quantities of interest for the risk process and obtain a necessary and sufficient condition for the fairness of the risk (positive asymptotic non-ruin probabilities). These probabilities are explicitly calculated in a particular case (two possible states for the environment, exponential claim amounts distributions).


2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Zhao-Ming Wang ◽  
Feng-Hua Ren ◽  
Da-Wei Luo ◽  
Zhan-Yuan Yan ◽  
Lian-Ao Wu

2020 ◽  
Vol 18 (03) ◽  
pp. 2050005 ◽  
Author(s):  
Jian-Song Zhang

We investigate quantum synchronization and correlations of two qutrits in one non-Markovian environment using the hierarchy equation method. There is no direct interaction between two qutrits and each qutrit interacts with the same non-Markovian environment. The influence of the temperature of the bath, correlation time and coupling strength between qutrits and bath on the quantum synchronization and correlations of two qutrits are studied without the Markovian, Born and rotating wave approximations. We also discuss the influence of dissipation and dephasing on the synchronization of two qutrits. In the presence of dissipation, the phase locking between two qutrits without any direct interaction can be achieved when each qutrit interacts with the common bath. Two qutrits within one common bath cannot be syncrhonized in the purely dephasing case. In addition, the Arnold tongue can be significantly broadened by decreasing the correlation time of two qutrits and bath. Markovian baths are more suitable for synchronizing qutrits than non-Markovian baths.


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