A queue with service interruptions in an alternating random environment
Operations Research
A single server queue with service interruptions
Queueing Systems: Theory and Applications
Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates
Queueing Systems: Theory and Applications
Single-Server Queues with Markov-Modulated Arrivals and Service Speed
Queueing Systems: Theory and Applications
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Stochastic decomposition of the M/G/∞ queue in a random environment
Operations Research Letters
An infinite-server queue influenced by a semi-Markovian environment
Queueing Systems: Theory and Applications
Maintenance of infinite-server service systems subjected to random shocks
Computers and Industrial Engineering
Markov-modulated stochastic recursive equations with applications to delay-tolerant networks
Performance Evaluation
Markov-modulated infinite-server queues with general service times
Queueing Systems: Theory and Applications
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In this paper we investigate an M/M/驴 queue whose parameters depend on an external random environment that we assume to be a semi-Markovian process with finite state space. For this model we show a recursive formula that allows to compute all the factorial moments for the number of customers in the system in steady state. The used technique is based on the calculation of the raw moments of the measure of a bidimensional random set. Finally the case when the random environment has only two states is deeper analyzed. We obtain an explicit formula to compute the above mentioned factorial moments when at least one of the two states has sojourn time exponentially distributed.