We consider a multi server and multichannel real-time system with identical servers (e.g. unmanned aerial vehicles, machine controllers, etc.) that provide services for requests of real-time jobs arriving via several ...We consider a multi server and multichannel real-time system with identical servers (e.g. unmanned aerial vehicles, machine controllers, etc.) that provide services for requests of real-time jobs arriving via several different channels (e.g. surveillance regions, assembly lines, etc.) working under maximum load regime. Each channel has its own constant numbers of jobs inside at any instant. Each channel has its own specifications, and therefore different kinds of equipment and inventory are needed to serve different channels. There is a limited number of identical maintenance teams (less than the total number of servers in the system). We compute analytically steady- state probabilities of this system, its availability, loss penalty function and other performance characteristics, when both service and maintenance times are exponentially distributed.展开更多
In this paper,a kind of human-machine system with general failed system repair time distribution is studied.By using the theory of the linear operator in semi-groups,we proved that the non-negative time-dependent exis...In this paper,a kind of human-machine system with general failed system repair time distribution is studied.By using the theory of the linear operator in semi-groups,we proved that the non-negative time-dependent existence and uniqueness,asymptotic stability and exponential stability of the solution.At last,we show a computer numerical simulation of the steady-state availability of warning system and non-warning system by mathematical software.展开更多
文摘We consider a multi server and multichannel real-time system with identical servers (e.g. unmanned aerial vehicles, machine controllers, etc.) that provide services for requests of real-time jobs arriving via several different channels (e.g. surveillance regions, assembly lines, etc.) working under maximum load regime. Each channel has its own constant numbers of jobs inside at any instant. Each channel has its own specifications, and therefore different kinds of equipment and inventory are needed to serve different channels. There is a limited number of identical maintenance teams (less than the total number of servers in the system). We compute analytically steady- state probabilities of this system, its availability, loss penalty function and other performance characteristics, when both service and maintenance times are exponentially distributed.
文摘In this paper,a kind of human-machine system with general failed system repair time distribution is studied.By using the theory of the linear operator in semi-groups,we proved that the non-negative time-dependent existence and uniqueness,asymptotic stability and exponential stability of the solution.At last,we show a computer numerical simulation of the steady-state availability of warning system and non-warning system by mathematical software.
