Numerical solution to the performability of a multiprocessor system with reconfiguration and rebooting delays.

Multiprocessor system models are extensively used in modelling transaction processing systems, nodes in communication networks, and flexible machine shops with groups of machines. Such systems clearly, are prone to break-downs. Even if cover is provided with some probability c, there will be rebooting and/or reconfiguration delays to resume operation following the break-down of a processor. In this paper, the performance modelling of a multiprocessor system, with identical processors, serving a stream of arriving jobs is considered. To account for delays due to reconfiguration and rebooting, such systems are modelled and solved for exact performability measures for both bounded and unbounded queuing systems.

[1]  M. Degroot,et al.  Probability and Statistics , 2021, Examining an Operational Approach to Teaching Probability.

[2]  Kishor S. Trivedi,et al.  Should I add a processor? (performance evaluation) , 1990, Twenty-Third Annual Hawaii International Conference on System Sciences.

[3]  Ram Chakka,et al.  Performance and reliability modelling of computing systems using spectral expansion , 1995 .

[4]  Kishor S. Trivedi.  Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[5]  Ram Chakka,et al.  Modelling multiserver systems with time or operation dependent breakdowns, alternate repair strategies, reconfiguration and rebooting delays , 2002 .

[6]  Kishor S. Trivedi,et al.  Should I Add a Processor ? , .

[7]  Peter G. Harrison,et al.  Performance modelling of communication networks and computer architectures , 1992, International computer science series.

[8]  Rhonda Righter.  Optimal policies for scheduling repairs and allocating heterogeneous servers , 1996 .

[9]  Kathryn E. Stecke,et al.  Performance evaluation for systems of pooled machines of unequal sizes: Unbalancing versus balancing , 1989 .

[10]  Ram Chakka,et al.  Multiprocessor Systems with General Breakdowns and Repairs , 1992, SIGMETRICS.

[11]  Dieter Fiems,et al.  Discrete-time queues with generally distributed service times and renewal-type server interruptions , 2004, Perform. Evaluation.

[12]  Ram Chakka,et al.  Heterogeneous Multiprocessor Systems with Breakdowns: Performance and Optimal Repair Strategies , 1994, Theor. Comput. Sci..

[13]  Ram Chakka,et al.  Spectral expansion solution for some finite capacity queues , 1998, Ann. Oper. Res..

[14]  Walter L. Smith.  Probability and Statistics , 1959, Nature.

[15]  John A. Buzacott,et al.  Stochastic models of manufacturing systems , 1993 .