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Volumn E83-D, Issue 3, 2000, Pages 397-406

The Legal Firing Sequence Problem of Petri Nets

Author keywords

Legal firing sequence problems; Np hardness; Petri nets; Pseudo polynomial time algorithms; Time complexity analysis

Indexed keywords

ALGORITHMS; HEURISTIC METHODS; POLYNOMIALS; RESOURCE ALLOCATION; SCHEDULING; THEOREM PROVING;

EID: 0034156622     PISSN: 09168532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (26)
  • 2
    • 33746035974 scopus 로고    scopus 로고
    • On the legal firing sequence problem of Petri nets with cactus structure
    • IEICE of Japan April (in Japanese). To appear in IEICE Trans. Fundamentals.
    • T. Fujito S. Taoka and T. Watanabc On the legal firing sequence problem of Petri nets with cactus structure Proc. 12th Karuizawa Workshop on Circuits and Systems pp.213-218 IEICE of Japan April 1999 (in Japanese). To appear in IEICE Trans. Fundamentals.
    • (1999) Proc. 12th Karuizawa Workshop on Circuits and Systems , pp. 213-218
    • Fujito, T.1    Taoka, S.2    Watanabc, T.3
  • 4
    • 74849101820 scopus 로고
    • Optimization and approximation in deterministic sequencing and scheduling: A survey
    • R. L. Graham E. L. Lawler J. K. Lcnstra and A. H. G. R. Kan Optimization and approximation in deterministic sequencing and scheduling: A survey Annals of Discrete Mathematics vol.5 pp.287-326 1979.
    • (1979) Annals of Discrete Mathematics , vol.5 , pp. 287-326
    • Graham, R.L.1    Lawler, E.L.2    Lcnstra, J.K.3    Kan, A.H.G.4
  • 5
    • 85027113341 scopus 로고    scopus 로고
    • Solving the legal firing sequence problem for edge-weighted cactuses
    • CST98-32 Jan. in Japanese.
    • M. Iwamoto T. Fujito S. Taoka and T. Watanabe Solving the legal firing sequence problem for edge-weighted cactuses IEICE Technical Report CST98-32 Jan. 1999 (in Japanese).
    • (1999) IEICE Technical Report
    • Iwamoto, M.1    Fujito, T.2    Taoka, S.3    Watanabe, T.4
  • 6
    • 85027139251 scopus 로고    scopus 로고
    • The legal firing sequence problem for cyclic cactuses
    • CST98-25 Oct. in Japanese.
    • M. Iwamoto S. Taoka and T. Watanabe The legal firing sequence problem for cyclic cactuses IEICE Technical Report CST98-25 Oct. 1998 (in Japanese).
    • (1998) IEICE Technical Report
    • Iwamoto, M.1    Taoka, S.2    Watanabe, T.3
  • 9
    • 84976684505 scopus 로고
    • Properties of conflict-free and persistent Petri nets
    • L. H. Landweber and E. L. Robertson Properties of conflict-free and persistent Petri nets J. Assoc. Comput. Mach. vol.25 no.3 pp.352-364 1978.
    • (1978) J. Assoc. Comput. Mach. , vol.25 , Issue.3 , pp. 352-364
    • Landweber, L.H.1    Robertson, E.L.2
  • 11
    • 0021474508 scopus 로고
    • (with the same title by the author).
    • See also SIAM J. Comput. vol.13 pp.441-460 1984 (with the same title by the author).
    • (1984) SIAM J. Comput. , vol.13 , pp. 441-460
  • 13
    • 0024645936 scopus 로고
    • Petri nets: Properties analysis and applications
    • April
    • T. Murata Petri nets: Properties analysis and applications Proc. IEEE vol.77 pp.541-580 April 1989.
    • (1989) Proc. IEEE , vol.77 , pp. 541-580
    • Murata, T.1
  • 17
    • 0030291689 scopus 로고    scopus 로고
    • Finding minimal siphons in general Petri nets
    • Nov.
    • S. Tanimoto M. Yamauchi and T. Watanabe Finding minimal siphons in general Petri nets IEICE Trans. Fundamentals vol.E79-A no.ll pp.1817-1824 Nov. 1996.
    • (1996) IEICE Trans. Fundamentals , vol.79 A , Issue.11 , pp. 1817-1824
    • Tanimoto, S.1    Yamauchi, M.2    Watanabe, T.3
  • 18
    • 0000503968 scopus 로고
    • Minimum initial marking problems of Petri nets
    • Dec.
    • T. Watanabe Y. Mizobata and K. Onaga Minimum initial marking problems of Petri nets IEICE Trans. vol.E72 no.12 pp. 139.0-1399 Dec. 1989.
    • (1989) IEICE Trans. , vol.72 , Issue.12 , pp. 1390-1399
    • Watanabe, T.1    Mizobata, Y.2    Onaga, K.3
  • 19
    • 0000503969 scopus 로고
    • Time complexity of legal firing sequence and related problems of Petri nets
    • Dec.
    • T. Watanabe Y. Mizobata and K. Onaga Time complexity of legal firing sequence and related problems of Petri nets IEICE Trans. vol.E72 no.12 pp.1400-1409 Dec. 1989.
    • (1989) IEICE Trans. , vol.72 , Issue.12 , pp. 1400-1409
    • Watanabe, T.1    Mizobata, Y.2    Onaga, K.3
  • 24
    • 0007723268 scopus 로고    scopus 로고
    • A new heuristic algorithm for the legal firing sequence problem of Petri nets
    • Nov.
    • M. Yamauchi and T. Watanabe A new heuristic algorithm for the legal firing sequence problem of Petri nets IEICE Technical Report CST97-32 Nov. 1997.
    • (1997) IEICE Technical Report CST97-32
    • Yamauchi, M.1    Watanabe, T.2
  • 26
    • 27744447741 scopus 로고    scopus 로고
    • Algorithms for extracting minimal siphons containing specified places in a general Petri net
    • Nov.
    • M. Yamauchi and T. Watanabe Algorithms for extracting minimal siphons containing specified places in a general Petri net IEICE Trans. Fundamentals vol.E82-A no.ll pp.2500-2575 Nov. 1999.
    • (1999) IEICE Trans. Fundamentals , vol.82 , Issue.11 , pp. 2500-2575
    • Yamauchi, M.1    Watanabe, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.