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Synchronized abandonments in a single server unreliable queue. (English) Zbl 1176.90118

Summary: We consider a single server unreliable queue represented by a 2-dimensional continuous-time Markov chain. At failure times, the present customers leave the system. Moreover, customers become impatient and perform synchronized abandonments, as long as the server is down. We analyze this model and derive the main performance measures using results from the basic \(q\)-hypergeometric series.

MSC:

90B22 Queues and service in operations research
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