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Random environmental processes for complex computer systems: a theoretical approach

Author

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  • Nikitas A. Assimakopoulos

    (Department of Informatics, University of Piraeus, 80, Karaoli & Dimitriou St., GR-185 34 Piraeus, Greece)

Abstract

In this paper, we consider various computer inventory, computer queueing and reliability computer models where complexity due to interacting components of subsystems is apparent. In particular, our analysis focuses on a multi-item inventory computer model with stochastically dependent demands, a queueing computer network where there are dependent arrival and service processes, or a reliability computer model with stochastically dependent component lifetimes. We discuss cases where this dependence is induced only by a random environmental process which the system operates in. This process represents the sources of variation that affect all deterministic and stochastic parameters of the model. Thus, not only are the parameters of the model now stochastic processes, but they are all dependent due to the common environment they are all subject to. Our objective is to provide a convincing argument that, under fairly reasonable conditions, the analytical techniques used in these models as well as their solutions are not much more complicated than those where there is no environmental variation.

Suggested Citation

  • Nikitas A. Assimakopoulos, 1999. "Random environmental processes for complex computer systems: a theoretical approach," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 117-135.
    • Handle: RePEc:wsi:acsxxx:v:02:y:1999:i:02:n:s0219525999000072
    DOI: 10.1142/S0219525999000072
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