On the Solution of a Nonlinear Matrix Equation arising in Queueing Problems
SIAM Journal on Matrix Analysis and Applications
A Queueing Model with Finite Waiting Room and Blocking
Journal of the ACM (JACM)
Performance of Communication Systems: A Model-Based Evaluation with Matrix-Geometric Methods
Performance of Communication Systems: A Model-Based Evaluation with Matrix-Geometric Methods
Analytic modeling of handoffs in wireless cellular networks
Information Sciences—Applications: An International Journal
PNPM '97 Proceedings of the 6th International Workshop on Petri Nets and Performance Models
Finite and Infinite QBD Chains: A Simple and Unifying Algorithmic Approach
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
Approximate solutions for heavily loaded Markov-modulated queues
Performance Evaluation - Performance 2005
Modelling and Performability Analysis of Network Memory Servers
ANSS '06 Proceedings of the 39th annual Symposium on Simulation
Modelling Network Memory Servers with Parallel Processors, Break-downs and Repairs
ANSS '07 Proceedings of the 40th Annual Simulation Symposium
Performability Model of Vertical Handoff in Wireless Data Network
ICWMC '08 Proceedings of the 2008 The Fourth International Conference on Wireless and Mobile Communications
Quantitative analysis of location management and QoS in wireless networks
Journal of Network and Computer Applications
Performance Evaluation of Multisatge Service System Using Matrix Geometric Method
ICSNC '09 Proceedings of the 2009 Fourth International Conference on Systems and Networks Communications
Modeling and analysis of trust management with trust chain optimization in mobile ad hoc networks
Journal of Network and Computer Applications
Performability of systems based on renewal process models
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Proceedings of the 45th Annual Simulation Symposium
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Two stage open queuing networks are used for modeling the subsystem-behaviour in computers and communication networks, mass storage devices, memory servers, and queuing analysis of wireless mobile cellular networks. The queuing analysis of wireless systems is essential in order to quantify the impact of different factors on quality of service (QoS); performance measures so that wireless protocols can be designed and/or tuned in an optimal manner. In that sense two stage open queuing systems are particularly important to model handoff phenomena, especially for the integration of two different systems such as cellular and wireless local area networks (WLANs). Analytical solutions for two-dimensional Markov processes suffer from the state space explosion problem. The numerical difficulties caused by large state spaces, make it difficult to handle multiple servers at the second stage of a tandem queuing system together with server failures and repairs. This study presents a new approach to analytical modeling of open networks offering improvements in alleviating this problem. The proposed solution is a hybrid version, which combines well known spectral expansion, and hierarchical Markov reward rate approaches. Using this approach, two-stage open networks with multiple servers, break-downs, and repairs at the second stage and feedback can be modeled as three-dimensional Markov processes and solved for performability measures. Comparative results show that the new algorithm used for solution, provides a high degree of accuracy, and it is computationally more efficient than the existing approaches. The proposed model is capable of solving other three-dimensional Markov processes.