Contents 1 Quasi birth and death processes 1 2 The QBD of the linear retrial/overflow model 3 3 The factorial moments 8 1 Quasi birth and death processes Motivation. Many important stochastic models involve mul-tidimensional random walks with discrete state space, whose coordinates split naturally into

Cloud Computing (CC) and Internet of Things (IoT) are upgrowing human intervention to enhance the daily lifestyle. Currently, heavy loaded traffic congestion is a very big challenge over IoT-based applications. For that purpose, researchers approached various ways overcome mechanism in recent years. Even though, they have futile acheive best resource storage accessing capacity expectation other...

In M/G/1 retrial queueing system with two types of customers and feedback, we derived the joint generating function of the number of customers in two groups by using the supplementary variable method. It is shown that our results are consistent with those already known in the literature when δk = 0(k = 1, 2), λ1 = 0 or λ2 = 0.

Multi-server retrial queue with second optional service: algorithmic computation and optimisation Jau-Chuan Ke a , Chia-Huang Wu b & Wen Lea Pearn b a Department of Applied Statistics , National Taichung Institute of Technology , No. 129, Sec. 3, Sanmin Road, Taichung, Taiwan 404, ROC b Department of Industrial Engineering and Management , National Chiao Tung University , Hsinchu, Taiwan 300, R...

In this paper, we study the asymptotic behaviour of tail probability number customers in steady-state M/G/1 retrial queue with Bernoulli schedule, under assumption that service time distribution has a regularly varying tail. Detailed properties are obtained for conditional (priority) and orbit, respectively, terms recently proposed exhaustive stochastic decomposition approach. Numerical example...