"Witness; server breakdown; method of stages; queueing; E2/E2/1/m"@en . "S" . "1"^^ . "Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns" . . "1801-674X" . "RIV/61989100:27230/12:86083528" . . "CZ - \u010Cesk\u00E1 republika" . "Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns"@en . "Dorda, Michal" . "The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customers interarrival times and customers service times follow the Erlang distribution defined by the shape parameter k=2 and the scale parameter 2\u03BB or 2\u03BC respectively. We consider that server failures can occur when the server is busy (so called operate-dependent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure (the preemptive-repeat discipline. We assume that random variables relevant to server failures and repairs are exponentially distributed. The queueing system is modelled using method of stages. We present a state transition diagram, a system of linear equations describing the system behaviour in the steady-state and formulas for several performance measures computation. To validate the mathematical model a simulation model was created using simulation software Witness. At the end of the paper some graphical dependencies are shown." . . "7" . "156043" . "Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns" . "27230" . "7"^^ . . "The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customers interarrival times and customers service times follow the Erlang distribution defined by the shape parameter k=2 and the scale parameter 2\u03BB or 2\u03BC respectively. We consider that server failures can occur when the server is busy (so called operate-dependent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure (the preemptive-repeat discipline. We assume that random variables relevant to server failures and repairs are exponentially distributed. The queueing system is modelled using method of stages. We present a state transition diagram, a system of linear equations describing the system behaviour in the steady-state and formulas for several performance measures computation. To validate the mathematical model a simulation model was created using simulation software Witness. At the end of the paper some graphical dependencies are shown."@en . . . "[6A973645E8E9]" . "Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns"@en . . . "Perners Contact" . . "2" . "RIV/61989100:27230/12:86083528!RIV13-MSM-27230___" . . . . . . . . . "1"^^ .