Modeling a multiprocessor system with preemptive priorities

Article Abstract:

Two methods for modeling a system with a number of processors and two job types, one of which has preemptive priority over the other, are presented. The system is characterized by Poisson arrivals and exponential service times. One method has attractive structural characteristics and a rate matrix that can be solved easily, but the group of equations at the boundary is usually extremely large. The other method has a rate matrix that is not solved easily, but it provides an efficient solution at the boundary and offers a basis for waiting-time evaluation for jobs with low priority. An efficient implementation of state reduction for the solution of the stationary probabilities related to the boundary states is presented, along with a numerical example.

Models, Queuing theory, Poisson processes, Matrices, Matrices (Mathematics), Multiprocessors, Multiprocessor computers

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Metagraphs in hierarchical modeling

Article Abstract:

A decision support system (DSS) that contains a large model base can pose problems to DSS users. The process of choosing particular models to be used for specific tasks may prove to be difficult. This problem can be eliminated through the use of a graph theoretic structure called a metagraph. Metagraphs allow DSS users to develop and maintain model base views. A view, which is defined as an abstraction of the model base that controls attention to relationships between certain variables, permits a more effective and simplified use of the system. Metagraphs also identify conditions under which views can be combined safely.

Analysis, Management, Decision support systems, Graph theory

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