Synchronized abandonments in a single server unreliable queue
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.
synchronized abandonments markov chain basic q-hypergeometric series queueing system unreliable server catastrophes stationary distribution sojourn time busy period