Title
Partial-Order Reduction for Performance Analysis of Max-Plus Timed Systems
Abstract
This paper presents a partial-order reduction method for performance analysis of max-plus timed systems. A max-plus timed system is a network of automata, where the timing behavior of deterministic system tasks (events in an automaton) is captured in (max, +) matrices. These tasks can be characterized in various formalisms like synchronous data flow, Petri nets, or real-time calculus. The timing behavior of the system is captured in a (max, +) state space, calculated from the composition of the automata. This state space may exhibit redundant interleaving with respect to performance aspects like throughput or latency. The goal of this work is to obtain a smaller state space to speed up performance analysis. To achieve this, we first formalize state-space equivalence with respect to throughput and latency analysis. Then, we present a way to compute a reduced composition directly from the specification. This yields a smaller equivalent state space. We perform the reduction on-the-fly, without first computing the full composition. Experiments show the effectiveness of the method on a set of realistic manufacturing system models.
Year
DOI
Venue
2018
10.1109/ACSD.2018.00007
2018 18th International Conference on Application of Concurrency to System Design (ACSD)
Keywords
Field
DocType
max-plus,performance,throughput,latency,partial-order reduction,max-plus automata,max-plus algebra,performance analysis
Petri net,Computer science,Algorithm,Theoretical computer science,Deterministic system,Throughput,Partial order reduction,Max-plus algebra,Synchronous Data Flow,State space,Interleaving
Conference
ISSN
ISBN
Citations 
1550-4808
978-1-5386-7014-9
0
PageRank 
References 
Authors
0.34
13
4
Name
Order
Citations
PageRank
Bram van der Sanden110.69
Marc Geilen2134684.30
Michel A. Reniers325430.73
Twan Basten41833132.45