Gómez-Corral, Antonio2023-06-202023-06-2020051432-299410.1007/s001860400387https://hdl.handle.net/20.500.14352/50009We deal with a finite-buffer bulk-service queue with disasters. The arrival streams of units and disasters are Markovian arrival processes (MAPs). We study the stationary distribution of the embedded Markov chain at post-departure epochs. The block structure allows us to derive a general approach amenable to numerical calculation following results of the theory for censored Markov chains and level-dependent quasi-birth-and-death processes. We give tractable analytical formulas for the departure process and the stationary distributions of the system state at arbitrary and pre-arrival epochs. The effect of the disaster stream on certain probabilistic descriptors is graphically illustrated.engjournal articlehttp://www.springerlink.com/content/th2mh8al9tl0x511/fulltext.pdfhttp://www.springerlink.comrestricted access519.8Bulk-serviceCensored Markov chainClearingDisastersFinite-buffer queueMarkovian arrival process (MAP)Quasi-birth-and-death process (QBDInvestigación operativa (Matemáticas)1207 Investigación Operativa