Abstract
AbstractThis paper proposes new stochastic models that describe the task processing by the Markovian software availability model with perfect debugging and study the method to evaluate the system performance for the multi‐tasking software system having several modules. We assume that the software system, which is integrated by all modules, can process multiple tasks simultaneously. Each task, which is to be processed, is assumed to have multiple subtasks that are processed by the corresponding modules of the software system. Based on these models, we derive several performance measures, such as the expected numbers of subtasks and tasks whose processes can be completed within a certain time interval and the completion probability for each subtask and task. We also discuss the impacts that the number of modules constituting the system has on such performance measures. Furthermore, we consider the notion of module dependency for evaluation of certain probabilities of our interest and study its effects on such probabilities. Numerical examples are provided to illustrate our proposed models. Copyright © 2010 John Wiley & Sons, Ltd.
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