Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes

L. Cloth, L. de Alfaro (Editor), S. Gilmore (Editor), H.C. Bohnenkamp, Boudewijn R.H.M. Haverkort

Research output: Contribution to conferencePaperAcademicpeer-review

54 Downloads (Pure)

Abstract

In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.
Original languageUndefined
Pages152-167
Number of pages16
DOIs
Publication statusPublished - 2001
EventJoint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001 - Aachen, Germany
Duration: 12 Sep 200114 Sep 2001

Workshop

WorkshopJoint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001
Abbreviated titlePAPM-PROBMIV
CountryGermany
CityAachen
Period12/09/0114/09/01

Keywords

  • IR-63634
  • EWI-7907

Cite this

Cloth, L., de Alfaro, L. (Ed.), Gilmore, S. (Ed.), Bohnenkamp, H. C., & Haverkort, B. R. H. M. (2001). Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. 152-167. Paper presented at Joint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001, Aachen, Germany. https://doi.org/10.1007/3-540-44804-7_10
Cloth, L. ; de Alfaro, L. (Editor) ; Gilmore, S. (Editor) ; Bohnenkamp, H.C. ; Haverkort, Boudewijn R.H.M. / Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. Paper presented at Joint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001, Aachen, Germany.16 p.
@conference{4d27523bb85942a194c660b2ae7388bb,
title = "Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes",
abstract = "In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.",
keywords = "IR-63634, EWI-7907",
author = "L. Cloth and {de Alfaro}, L. and S. Gilmore and H.C. Bohnenkamp and Haverkort, {Boudewijn R.H.M.}",
note = "Imported from research group DACS (ID number 469); null ; Conference date: 12-09-2001 Through 14-09-2001",
year = "2001",
doi = "10.1007/3-540-44804-7_10",
language = "Undefined",
pages = "152--167",

}

Cloth, L, de Alfaro, L (ed.), Gilmore, S (ed.), Bohnenkamp, HC & Haverkort, BRHM 2001, 'Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes' Paper presented at Joint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001, Aachen, Germany, 12/09/01 - 14/09/01, pp. 152-167. https://doi.org/10.1007/3-540-44804-7_10

Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. / Cloth, L.; de Alfaro, L. (Editor); Gilmore, S. (Editor); Bohnenkamp, H.C.; Haverkort, Boudewijn R.H.M.

2001. 152-167 Paper presented at Joint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001, Aachen, Germany.

Research output: Contribution to conferencePaperAcademicpeer-review

TY - CONF

T1 - Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes

AU - Cloth, L.

AU - Bohnenkamp, H.C.

AU - Haverkort, Boudewijn R.H.M.

A2 - de Alfaro, L.

A2 - Gilmore, S.

N1 - Imported from research group DACS (ID number 469)

PY - 2001

Y1 - 2001

N2 - In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.

AB - In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any decisions. Furthermore, they allow for the computation of performance measures. The derivation of the so called k-th occurrence times is shown in detail.

KW - IR-63634

KW - EWI-7907

U2 - 10.1007/3-540-44804-7_10

DO - 10.1007/3-540-44804-7_10

M3 - Paper

SP - 152

EP - 167

ER -

Cloth L, de Alfaro L, (ed.), Gilmore S, (ed.), Bohnenkamp HC, Haverkort BRHM. Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes. 2001. Paper presented at Joint International Workshop on Process Algebra and Probabilistic Methods & Probabilistic Methods in Verification, PAPM-PROBMIV 2001, Aachen, Germany. https://doi.org/10.1007/3-540-44804-7_10