PERFORMANCE EVALUATION OF DISCRETE EVENT SYSTEMS INVOLVING HENSTOCK-KURZWEIL INTEGRAL

<正>This paper presents a study on the performance of flexible manufacturing systems(FMSs),by using discrete event system(DES) models,considering resource losses modelled by a parameter entitled coverage factor.We conclude that the resources cell loss distribution between the tasks of a FSM is a real function that cannot be integrated,in order to calculate its primitive,in the classical sense of Riemann or Lebesgue,but only in the sense of Henstock-Kurzweil integral.Our result allows one to study more general processes where highly oscillatory functions occur.The method used to deduce the function describing the resources cell loss distribution is compared with a classical method related in the literature,respectively rational interpolants.An example has been constructed to emphasize what we believe to be,new approaches.