메뉴 건너뛰기




Volumn 13, Issue 6, 1998, Pages 339-351

Non-exponential stochastic Petri nets: An overview of methods and techniques

Author keywords

Markov and Semimarkov Reward Models; Markov Regenerative Processes; Non exponential Distributions; Phase type Distributions; Queueing Systems with Preemption; Stochastic Petri Nets

Indexed keywords

COMPUTATIONAL COMPLEXITY; DISTRIBUTED COMPUTER SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES;

EID: 0032203228     PISSN: 02676192     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (7)

References (41)
  • 1
    • 0024662516 scopus 로고
    • Markov and Markov reward model transient analysis: An overview of numerical approaches
    • Reibman, A, Smith, R and Trivedi, K S 'Markov and Markov reward model transient analysis: an overview of numerical approaches', European Journal of Operational Research, Vol 40 (1989) pp 257-267
    • (1989) European Journal of Operational Research , vol.40 , pp. 257-267
    • Reibman, A.1    Smith, R.2    Trivedi, K.S.3
  • 2
    • 0004130917 scopus 로고
    • Stochastic reward models in performance/reliability analysis
    • January
    • Bobhio, A 'Stochastic reward models in performance/reliability analysis', Journal on Communications, Vol XLIII (January 1992) pp 27-35
    • (1992) Journal on Communications , vol.43 , pp. 27-35
    • Bobhio, A.1
  • 4
    • 0022774102 scopus 로고
    • Regenerative stochastic Petri nets
    • Haas, P J and Shedler, G S 'Regenerative stochastic Petri nets', Performance Evaluation, Vol 6 (1986) pp 189-204
    • (1986) Performance Evaluation , vol.6 , pp. 189-204
    • Haas, P.J.1    Shedler, G.S.2
  • 5
    • 0028465894 scopus 로고
    • A characterization of the stochastic process underlying a stochastic Petri net
    • Ciardo, G, German, R and Lindemann, C 'A characterization of the stochastic process underlying a stochastic Petri net', IEEE Trans. Software Engineering, Vol 20 (1994) pp 506-515
    • (1994) IEEE Trans. Software Engineering , vol.20 , pp. 506-515
    • Ciardo, G.1    German, R.2    Lindemann, C.3
  • 10
    • 0022234436 scopus 로고
    • Esp - A package for the evaluation of stochastic Petri nets with phase-type distributed transition times
    • Torino Italy
    • Cumani, A Esp - A package for the evaluation of stochastic Petri nets with phase-type distributed transition times', Proceedings International Workshop Timed Petri Nets, Torino Italy (1985) pp 144-151
    • (1985) Proceedings International Workshop Timed Petri Nets , pp. 144-151
    • Cumani, A.1
  • 12
    • 0027627489 scopus 로고
    • An improved numerical algorithm for calculating steady-state solutions of deterministic and stochastic Petri net models
    • Lindemann, C 'An improved numerical algorithm for calculating steady-state solutions of deterministic and stochastic Petri net models', Performance Evaluation, Vol 18 (1993) pp 75-95
    • (1993) Performance Evaluation , vol.18 , pp. 75-95
    • Lindemann, C.1
  • 17
    • 0028422545 scopus 로고
    • Analysis of stochastic Petri nets by the method of supplementary variables
    • German, R and Lindemann, C 'Analysis of stochastic Petri nets by the method of supplementary variables', Performance Evaluation, Vol 20 (1994) pp 317-335
    • (1994) Performance Evaluation , vol.20 , pp. 317-335
    • German, R.1    Lindemann, C.2
  • 19
    • 0031378809 scopus 로고    scopus 로고
    • Transient analysis of a preemptive resume M/D/1/2/2 through Petri nets
    • Bobbio, A and Telek, M 'Transient analysis of a preemptive resume M/D/1/2/2 through Petri nets', Periodica Polytechnica, Ser. El. Eng., Vol 41 (1997) pp 123-146
    • (1997) Periodica Polytechnica, Ser. El. Eng. , vol.41 , pp. 123-146
    • Bobbio, A.1    Telek, M.2
  • 21
    • 33846674384 scopus 로고
    • On Petri nets with deterministic and exponentially distributed firing times
    • Springer Verlag
    • Ajmone Marsan, M and Chiola, G On Petri nets with deterministic and exponentially distributed firing times', Lecture Notes in Computer Science 266, Springer Verlag (1987) pp 132-145
    • (1987) Lecture Notes in Computer Science 266 , pp. 132-145
    • Ajmone Marsan, M.1    Chiola, G.2
  • 22
    • 84976753721 scopus 로고
    • A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems
    • Ajmone Marsan, M, Balbo, G and Conte, G 'A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems', ACM Trans. Computer Systems, Vol 2 (1984) pp 93-122
    • (1984) ACM Trans. Computer Systems , vol.2 , pp. 93-122
    • Ajmone Marsan, M.1    Balbo, G.2    Conte, G.3
  • 26
    • 0342290264 scopus 로고
    • GreatSPN 1.5 Software architecture
    • G Balbo and G Serazzi (editors), Elsevier
    • Chiola, G GreatSPN 1.5 Software architecture, in G Balbo and G Serazzi (editors), Computer Performance Evaluation, Elsevier (1992) pp 121-13
    • (1992) Computer Performance Evaluation , pp. 121-213
    • Chiola, G.1
  • 32
    • 0029247843 scopus 로고
    • DSPNexpress: A software package for the efficient solution of deterministic and stochastic Petri nets
    • Lindemann, C 'DSPNexpress: a software package for the efficient solution of deterministic and stochastic Petri nets'. Performance Evaluation, Vol 22 (1995) pp 3-21
    • (1995) Performance Evaluation , vol.22 , pp. 3-21
    • Lindemann, C.1
  • 33
    • 0010916430 scopus 로고
    • TimeNET - A toolkit for evaluating non-markovian stochastic Petri nets
    • German, R, Kelling, C, Zimmermann, A and Hommel, G TimeNET - A toolkit for evaluating non-markovian stochastic Petri nets', Performance Evaluation, Vol 24 (1995) pp 69-87
    • (1995) Performance Evaluation , vol.24 , pp. 69-87
    • German, R.1    Kelling, C.2    Zimmermann, A.3    Hommel, G.4
  • 34
    • 0020191774 scopus 로고
    • An inversion technique for the Laplace transform
    • October
    • Jagerman, D L 'An inversion technique for the Laplace transform', The Bell System Technical Journal, Vol 61 (October 1982) pp 1995-2002
    • (1982) The Bell System Technical Journal , vol.61 , pp. 1995-2002
    • Jagerman, D.L.1
  • 35
    • 0011798917 scopus 로고
    • On modeling the performance and reliability of multi-mode computer systems
    • Kulkarni, V G, Nicola, V F and Trivedi, K 'On modeling the performance and reliability of multi-mode computer systems', Journal of Systems and Software, Vol 6 (1986) pp 175-183
    • (1986) Journal of Systems and Software , vol.6 , pp. 175-183
    • Kulkarni, V.G.1    Nicola, V.F.2    Trivedi, K.3
  • 37
    • 0021385426 scopus 로고
    • The randomization technique as a modeling tool and solution procedure for transient Markov processes
    • Gross, D and Miller, D 'The randomization technique as a modeling tool and solution procedure for transient Markov processes', Operations Research, Vol 32 (1984) pp 343-361
    • (1984) Operations Research , vol.32 , pp. 343-361
    • Gross, D.1    Miller, D.2
  • 38
    • 0000825747 scopus 로고
    • The least variable phase type distribution is Erlang
    • Aldous, D and Shepp, L 'The least variable phase type distribution is Erlang', Stochastic Models, Vol 3 (1987) pp 467-473
    • (1987) Stochastic Models , vol.3 , pp. 467-473
    • Aldous, D.1    Shepp, L.2
  • 40
    • 0003141975 scopus 로고
    • A benchmark for PH estimation algorithms: Results for Acyclic-PH
    • Bobbio, A and Telek, M 'A benchmark for PH estimation algorithms: results for Acyclic-PH', Stochastic Models, Vol 10 (1994) pp 661-677
    • (1994) Stochastic Models , vol.10 , pp. 661-677
    • Bobbio, A.1    Telek, M.2
  • 41
    • 84959609465 scopus 로고
    • The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables
    • Cox, D R 'The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables', Proceedings Cambridge Philosophical Soc., Vol 51 (1955) pp 433-440
    • (1955) Proceedings Cambridge Philosophical Soc. , vol.51 , pp. 433-440
    • Cox, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.