Asymptotic reliability analysis of some complex systems with repair operating in random environments
Journal of Information Processing and Cybernetics
Asymptotic Analysis of a Heterogeneous Multiprocessor System in a Randomly Changing Environment
IEEE Transactions on Software Engineering
ACOS'07 Proceedings of the 6th Conference on WSEAS International Conference on Applied Computer Science - Volume 6
Analysis and investigation of reliability model in computer networks
SEPADS'07 Proceedings of the 6th WSEAS International Conference on Software Engineering, Parallel and Distributed Systems
Investigation of the reliability of multiserver computer networks
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
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The present paper deals with a first-come, first-served (FCFS) queueing model to analyze the behaviour of a heterogeneous finite-source system with a single server. The sources and the server are assumed to operate in independent Markovian environments, respectively. Each request is characterized by its own exponentially distributed source and service time with parameter depending on the state of the corresponding environment; that is, the arrival and service rates are subject to random fluctuations. Our aim is to get the usual stationary performance measures of the system, such as utilizations, mean number of requests staying at the server, mean queue lengths, average waiting, and sojourn times. In the case of fast arrivals or fast service, asymptotic methods can be applied. In the intermediate situations, stochastic simulation is used. As applications of this model, some problems in the field of telecommunications and reliability theory are treated.