Abstract
We consider a real time data acquisition and processing multiserver system with identical servers (such as unmanned aerial vehicles, machine controllers, overhearing devices, medical monitoring devices, etc.) which can be maintained/programmed for different kinds of activities (e.g. passive or active). This system provides a service for real time tasks arriving via several channels (such as surveillance regions, assembly lines, communication channels, etc.) and involves maintenance. We focus on the worst case analysis of the system with ample maintenance facilities exponentially distributed time to failure and maintenance times. We consider two kinds of models (with and without nonpreemptive priorities) and provide balance equations for steady state probabilities and various performance measures, when both operation and maintenance times are exponentially distributed.
Highlights
Real time systems (RTS) are imbedded in most modern technological structures, such as production control systems, robotic and telecommunications systems, radars, self-guided missiles, reconnaissance, aircraft and space stations, etc
It is clear that ni = ki, i = 1, m, i.e. all fixed servers must be operative and priorities do not work in this case
We provided equations for steady-state probabilities, as well as formulas for availability, average cost function and other performance characteristics of multiserver and multichannel RTS with different activity types and ample maintenance facilities
Summary
Real time systems (RTS) are imbedded in most modern technological structures, such as production control systems, robotic and telecommunications systems, radars, self-guided missiles, reconnaissance, aircraft and space stations, etc. Ianovsky and Kreimer [16] obtained optimal assignment/ routing probabilities to maximize the availability of RTS with limited maintenance facilities, for large number of servers and two different channels. The work presented here is a generalization of results obtained by Shimshi and Kreimer [19] and Kreimer [20] for RTS with single channel and two kinds of activities It deals with multiserver RTS, providing the service to the requests of real-time jobs arriving via several channels. We provide balance equations describing two models (with and without nonpreemptive priorities) operating under a maximum load regime and show how to compute various performance measures, when both operation and maintenance times are exponentially distributed.
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