Truncation of Passage Time Calculations in Semi-Markov Models

by Marcel C. Guenther , Jeremy T. Bradley , Nicholas J. Dingle , William J. Knottenbelt

Datum	Value	Source
TITLE	Truncation of Passage Time Calculations in Semi-Markov Models	SVM HeaderParse 0.2
AUTHOR NAME	Marcel C. Guenther	SVM HeaderParse 0.2
AUTHOR NAME	Jeremy T. Bradley	SVM HeaderParse 0.2
AUTHOR NAME	Nicholas J. Dingle	SVM HeaderParse 0.2
AUTHOR NAME	William J. Knottenbelt	SVM HeaderParse 0.2
ABSTRACT	Calculation of passage time distributions in large semi-Markov models can be accomplished by means of a previously-presented iterative algorithm, the core of which is repeated sparse matrix–vector multiplication. The algorithm’s performance is therefore highly dependent on the number of multiplications of matrix and vector elements that must be performed during each iteration. At the same time, the products of matrix and vector elements that are very small contribute little to the overall result of the multiplication. In this paper, we investigate the effect of ignoring these values on both the performance and accuracy of the iterative passage time algorithm. We show that in the models we analyse here this truncation significantly reduces the number of multiplications which must be performed, and hence significantly reduces the running time of the algorithm, with little effect on the accuracy of the final result. 1	SVM HeaderParse 0.2
CITATIONS	12 found	ParsCit 1.0