Markov processes in APL

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Markov processes in APL

Full text

Pdf (919 KB)

Source

International Conference on APL archive
Conference proceedings on APL 90: for the future table of contents

Copenhagen, Denmark

Pages: 173 - 185

Year of Publication: 1990

ISBN:0-89791-371-X

Also published in ...

Author

Alan G. Hawkes

Department of Management Seience and Statistics, European Business Management School, University of Wales, Swansea, SWANSEA SA2 8PP, UK

Sponsors

SIGAPL: ACM Special Interest Group on APL Programming Language
Danish Data Assn. :

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 17, Citation Count: 1

Additional Information:

abstract references cited by index terms collaborative colleagues

Tools and Actions:	Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/97808.97843 What is a DOI?

ABSTRACT

Using examples from two areas of application, ion channel models and systems reliability, we illustrate the power of APL as an executable notation for the mathematics of finite-state Markov processes. We stress, in particular, the algebra of partitioned matrices and second-generation features of DYALOG APL which allow a simple natural way of creating certain structured matrices.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	D.R. Cox and H.D. Miller, The theory of stochastic processes, Methuen, 1965.
	2	S. Karlin and H.M. Taylor, A first course in stochastic processes (2nd edn.), Academic Press, 1975.
	3	C. Moler and C. van Loan, 'Nineteen dubious ways to compute the exponential of a matrix', SIAM Reviews, vol. 20 no. 4, 1978, 801-836.
	4	A. G. Hawkes, 'Complex numbers in APL', Vector, vol. 1, 1984, 107-120,
	5	A.G. Hawkes and AM Sykes, *Equilibrium distributions of finite-state Markov processes', IEEE Trans. Reliability, in press.
	6	B.B. Fawzi and A.G. Hawkes, 'Availability of Markov systems with spares and repair facilities*, Proceedings of Reliability '89, Brighton, U.K., 1989, 2B/4/1-39.
	7	D. Colquhoun and A.G. Hawkes, 'On the stochastic properties of bursts of single ion channel openings and of clusters of bursts', Phil. Trans. R. Sot. Lund. B 300, 1982, l-59.
	8	D. Colquhoun and A.G. Hawkes, *A note on correlations in single ion channels', Proc. R. Sot. Lond. B 230, 1987, 15-52.
	9	D. Colquhoun, and A.G. Hawkes, 'Stochastic properties of ion channel openings and bursts in a membrane patch that contains two channels: Evidence concerning the presence of two channels when a record containing only single openings is observed* University of Wales, Swansea working paper to appear in Proc. R. sot. Lond., 1990.
	10	D.C. Ogden, S.A. Siegelbaum and D. Colquhoun, 'Block of acetylcholine activated ion channels by an uncharged anaesthetic' Nature, 289, 1981, 596-598.