Title
Solving scheduling problems by untimed model checking
Abstract
In this article, we show how scheduling problems can be modelled in untimed process algebra, by using special tick actions. A minimal-cost trace leading to a particular action, is one that minimises the number of tick steps. As a result, we can use any (timed or untimed) model checking tool to find shortest schedules. Instantiating this scheme to μCRL, we profit from a richer specification language than timed model checkers usually offer. Also, we can profit from efficient distributed state space generators. We propose a variant of breadth-first search that visits all states between consecutive tick steps, before moving to the next time slice. We experimented with a sequential and a distributed implementation of this algorithm. In addition, we experimented with beam search, which visits only parts of the search space, to find near-optimal solutions. Our approach is applied to find optimal schedules for test batches of a realistic clinical chemical analyser, which performs several kinds of tests on patient samples.
Year
DOI
Venue
2009
10.1007/s10009-009-0110-9
International Journal on Software Tools for Technology Transfer
Keywords
DocType
Volume
breadth first search,model checking,search space,scheduling problem,process algebra,state space,specification language,profitability
Journal
11
Issue
ISSN
Citations 
5
1433-2787
3
PageRank 
References 
Authors
0.44
28
3
Name
Order
Citations
PageRank
Anton J. Wijs1261.88
Jaco Van De Pol2102278.19
Elena M. Bortnik330.44