Mean-value of product-form stochastic petri net models of slotted-ring systems
Andrew J. Coyle, Boudewijn R. H. M. Haverkort, William Darryl Henderson, C. E. M. Pearce · University of Twente Research Information · 1993
This paper offers a mean-value analysis (MVA) approach for the solution of product-form stochastic Petri net models of slotted-ring systems. It presents the exact product form solution, and from that, develops the MVA recursion scheme. The presented MVA allows for the movement of batches of customers rather than just individual customers, as is the case in teh traditional MVA schemes. Furhermore, the MVA allows for non-disjoint place invariants whereas previous MVA schemes always adressed only disjoint ones. Apart from the MVA recursive relations, it gives details on the implementation of these relations. The advantage of an MVA approach is that it usually allows for much larger models to be solved than the usual numerical solution based on the global balance equations would. The MVA is demonstrated by the analysis of a number of fairly large models for slotted-ring systems.