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Perturbation bounds for \(M _{ t }/M _{ t }/N\) queue with catastrophes. (English) Zbl 1243.60076

This paper deals with an \(M _{ t }/M _{ t }/N\) queue with catastrophes and obtains stability bounds for the main characteristics of the respective queue-length process. Bounds for the mean queue leng are treated and several examples are given to illustrate the problem.

MSC:

60K25 Queueing theory (aspects of probability theory)
60J27 Continuous-time Markov processes on discrete state spaces
60J28 Applications of continuous-time Markov processes on discrete state spaces
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