Fuzzy Queueing Network Models of Computing Systems

Abstract

Performance engineering of computing systems (software as well as hardware systems) which integrates performance modeling with the various phases of design and implementation has become an important and popular issue. However, especially in early phases of design and development, exact values for all model parameters are often unknown, leading to uncertainties in the model parametrization. For example, the analyst may have to construct a model based on information such as "the mean service demand at device A will be about 30ms". Considering uncertainties in performance modeling and evaluation of computer and communication systems has been recognized to be of significant importance. A popular mathematical approach with a sophisticated theoretical background is the use of fuzzy numbers to model systems characterized by uncertain parameters. A fuzzy number is represented by a set of real numbers and an associated membership function. Based on techniques used in interval arithmetic, the ba..