Fluid analysis for a PEPA model

Abstract

It is, as the state space explosion problem indicates, not uncommon that tremendous complexity and size of a system would annoyingly quiver the performance of discrete state-based modeling formalisms. The past few years, however, have inspiringly witnessed a brand new PEPA-based strategy offering a feasible solution against such disturbing puzzle. Via PEPA, a family of ordinary differential equations (ODEs) is figured out as continuous state space approximation. This paper establishes some significant properties for the fluid approximation of a PEPA model, including the existence, uniqueness, boundedness and convergence of the derived ODEs solution.