71,771 research outputs found
Model Checking One-clock Priced Timed Automata
We consider the model of priced (a.k.a. weighted) timed automata, an
extension of timed automata with cost information on both locations and
transitions, and we study various model-checking problems for that model based
on extensions of classical temporal logics with cost constraints on modalities.
We prove that, under the assumption that the model has only one clock,
model-checking this class of models against the logic WCTL, CTL with
cost-constrained modalities, is PSPACE-complete (while it has been shown
undecidable as soon as the model has three clocks). We also prove that
model-checking WMTL, LTL with cost-constrained modalities, is decidable only if
there is a single clock in the model and a single stopwatch cost variable
(i.e., whose slopes lie in {0,1}).Comment: 28 page
Rare event simulation for highly dependable systems with fast repairs
Stochastic model checking has been used recently to assess, among others, dependability measures for a variety of systems. However, the employed numerical methods, as, e.g., supported by model checking tools such as PRISM and MRMC, suffer from the state-space explosion problem. The main alternative is statistical model checking, which uses standard simulation, but this performs poorly when small probabilities need to be estimated. Therefore, we propose a method based on importance sampling to speed up the simulation process in cases where the failure probabilities are small due to the high speed of the system's repair units. This setting arises naturally in Markovian models of highly dependable systems. We show that our method compares favourably to standard simulation, to existing importance sampling techniques and to the numerical techniques of PRISM
Static and Dynamic Path Planning Using Incremental Heuristic Search
Path planning is an important component in any highly automated vehicle
system. In this report, the general problem of path planning is considered
first in partially known static environments where only static obstacles are
present but the layout of the environment is changing as the agent acquires new
information. Attention is then given to the problem of path planning in dynamic
environments where there are moving obstacles in addition to the static ones.
Specifically, a 2D car-like agent traversing in a 2D environment was
considered. It was found that the traditional configuration-time space approach
is unsuitable for producing trajectories consistent with the dynamic
constraints of a car. A novel scheme is then suggested where the state space is
4D consisting of position, speed and time but the search is done in the 3D
space composed by position and speed. Simulation tests shows that the new
scheme is capable of efficiently producing trajectories respecting the dynamic
constraint of a car-like agent with a bound on their optimality.Comment: Internship Repor
A tool for model-checking Markov chains
Markov chains are widely used in the context of the performance and reliability modeling of various systems. Model checking of such chains with respect to a given (branching) temporal logic formula has been proposed for both discrete [34, 10] and continuous time settings [7, 12]. In this paper, we describe a prototype model checker for discrete and continuous-time Markov chains, the Erlangen-Twente Markov Chain Checker EĆMC2, where properties are expressed in appropriate extensions of CTL. We illustrate the general benefits of this approach and discuss the structure of the tool. Furthermore, we report on successful applications of the tool to some examples, highlighting lessons learned during the development and application of EĆMC2
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