Title :
GTAexpress: A Software Package to Handle Kronecker Descriptors
Author :
Czekster, Ricardo M. ; Fernandes, Paulo ; Webber, Thais
Author_Institution :
FACIN -PPGCC, Comput. Sci. Dept., PUCRS, Porto Alegre, Brazil
Abstract :
This paper presents a software package, called GTAexpress, to handle structured continuous-time Markovian models expressed using generalized tensor algebra, also known as, Kronecker descriptors. The proposed software package has the most advanced methods to provide stationary and transient solutions as well as some basic structural properties of models represented as a sum of generalized tensor products. Other software tools already provide some approaches based on tensor representation, like, PEPS and SMART. However, such tools are bounded to a specific modeling formalism. The basic idea of GTAexpress is to provide Kronecker descriptor-based solutions that can be easily used as a package in new tools or as a library in the existing high-level formalisms tools.
Keywords :
Markov processes; mathematics computing; software packages; software tools; tensors; GTAexpress; Kronecker descriptors; continuous-time Markovian models; software package; software tools; tensor representation; Algebra; Automata; Packaging; Software libraries; Software packages; Software tools; State-space methods; Stochastic processes; Storage area networks; Tensile stress; Kronecker descriptors; Numerical solution;
Conference_Titel :
Quantitative Evaluation of Systems, 2009. QEST '09. Sixth International Conference on the
Conference_Location :
Budapest
Print_ISBN :
978-0-7695-3808-2
DOI :
10.1109/QEST.2009.26