메뉴 건너뛰기




Volumn 47, Issue 4, 1999, Pages 585-600

Multilevel splitting for estimating rare event probabilities

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; QUEUEING THEORY;

EID: 0032594134     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.47.4.585     Document Type: Article
Times cited : (202)

References (31)
  • 1
    • 0039492342 scopus 로고
    • Analysis of rare events in continuous time Markov chains via time reversal and fluid approximation
    • Yorktown Heights, NY
    • Anantharam, V., P. Heidelberger, P. Tsoucas. 1990. Analysis of rare events in continuous time Markov chains via time reversal and fluid approximation. IBM Research Report RC 16280. Yorktown Heights, NY.
    • (1990) IBM Research Report RC 16280
    • Anantharam, V.1    Heidelberger, P.2    Tsoucas, P.3
  • 2
    • 0000707036 scopus 로고
    • Steady-state rare events simulation in queueing models and its complexity properties
    • J. Dhashalow, ed. CRC Press, Boca Raton, FL
    • Asmussen, S., R. Rubinstein. 1995. Steady-state rare events simulation in queueing models and its complexity properties. J. Dhashalow, ed. Advances in Queueing. CRC Press, Boca Raton, FL.
    • (1995) Advances in Queueing
    • Asmussen, S.1    Rubinstein, R.2
  • 3
    • 0014883643 scopus 로고
    • Statistical techniques for simulation models
    • Bayes, A. J. 1970. Statistical techniques for simulation models. Australian Comput. J. 2 180-184.
    • (1970) Australian Comput. J. , vol.2 , pp. 180-184
    • Bayes, A.J.1
  • 4
    • 38249019868 scopus 로고
    • Optimizing cell importances using an extension of the DSA - Theory, implementation, preliminary results
    • Burn, K. 1990. Optimizing cell importances using an extension of the DSA - Theory, implementation, preliminary results. Progress in Nuclear Energy 24 39-54.
    • (1990) Progress in Nuclear Energy , vol.24 , pp. 39-54
    • Burn, K.1
  • 6
    • 84951394205 scopus 로고
    • General statistical model for geometrical splitting in Monte Carlo - I
    • Dubi, A. 1985. General statistical model for geometrical splitting in Monte Carlo - I. Transport Theory and Statist. Physics 14 167-193.
    • (1985) Transport Theory and Statist. Physics , vol.14 , pp. 167-193
    • Dubi, A.1
  • 7
    • 0022492954 scopus 로고
    • Application of the direct statistical approach on a multisurface splitting problem in Monte Carlo calculations
    • _, A. Goldfeld, K. Burn. 1986. Application of the direct statistical approach on a multisurface splitting problem in Monte Carlo calculations. Nuclear Sci. and Engrg. 93 204-213.
    • (1986) Nuclear Sci. and Engrg. , vol.93 , pp. 204-213
    • Goldfeld, A.1    Burn, K.2
  • 10
    • 0026406217 scopus 로고
    • Optimally efficient estimation of the statistics of rare events in queueing networks
    • Frater, M. R., T. M. Lenon, B. D. O. Anderson. 1991. Optimally efficient estimation of the statistics of rare events in queueing networks. IEEE Trans. Automatic Control 36 1395-1405.
    • (1991) IEEE Trans. Automatic Control , vol.36 , pp. 1395-1405
    • Frater, M.R.1    Lenon, T.M.2    Anderson, B.D.O.3
  • 12
    • 0032302337 scopus 로고    scopus 로고
    • A large deviations perspective on the efficiency of multilevel splitting
    • _, _, _, _. 1998. A large deviations perspective on the efficiency of multilevel splitting. IEEE Trans. Automat. Control, 43 1666-1679.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 1666-1679
  • 13
    • 0042793150 scopus 로고    scopus 로고
    • A look at multilevel splitting
    • H. Niederreiter, P. Hellekalek, G. Larcher, P. Zinterhof, eds. Springer-Verlag, New York.
    • _, _, _, _. 1998a. A look at multilevel splitting. H. Niederreiter, P. Hellekalek, G. Larcher, P. Zinterhof, eds. Monte Carlo and Quasi Monte Carlo Methods 1996. Springer-Verlag, New York. 98-108.
    • (1998) Monte Carlo and Quasi Monte Carlo Methods 1996 , pp. 98-108
  • 14
    • 84976805635 scopus 로고
    • Analysis of an importance sampling estimator for tandem queues
    • _, S. G. Kou. 1995. Analysis of an importance sampling estimator for tandem queues. ACM Trans. Modeling and Computer Simulation 5 22-42.
    • (1995) ACM Trans. Modeling and Computer Simulation , vol.5 , pp. 22-42
    • Kou, S.G.1
  • 15
    • 0000174391 scopus 로고
    • The asymptotic efficiency of simulation estimators
    • Glynn, P. W., W. Whitt. 1992. The asymptotic efficiency of simulation estimators. Oper. Res. 40 505-520.
    • (1992) Oper. Res. , vol.40 , pp. 505-520
    • Glynn, P.W.1    Whitt, W.2
  • 18
    • 84976842451 scopus 로고
    • Fast simulation of rare events in queueing and reliability models
    • Heidelberger, P. 1995. Fast simulation of rare events in queueing and reliability models. ACM Trans. Modeling and Computer Simulation 5 43-85.
    • (1995) ACM Trans. Modeling and Computer Simulation , vol.5 , pp. 43-85
    • Heidelberger, P.1
  • 19
  • 20
  • 22
    • 0030397967 scopus 로고    scopus 로고
    • A framework for rare event simulation of stochastic Petri nets using
    • IEEE, Piscataway, NJ
    • Kelling, C. 1996. A framework for rare event simulation of stochastic Petri nets using "RESTART." Proc. 1996 Winter Simulation Conf., IEEE, Piscataway, NJ.
    • (1996) "RESTART." Proc. 1996 Winter Simulation Conf.
    • Kelling, C.1
  • 23
    • 85038058913 scopus 로고
    • Optimal simulation design by branching technique
    • W. G. Muller, H. P. Wynn, A. A. Zhigljavsky, eds. Physica-Verlag, Heidelberg, Germany
    • Melas, V. B. 1993. Optimal simulation design by branching technique. W. G. Muller, H. P. Wynn, A. A. Zhigljavsky, eds. Model Oriented Data Analysis. Physica-Verlag, Heidelberg, Germany, 113-128.
    • (1993) Model Oriented Data Analysis , pp. 113-128
    • Melas, V.B.1
  • 24
    • 0008141280 scopus 로고
    • Branching technique for Markov chain simulation (finite state case)
    • _. 1994. Branching technique for Markov chain simulation (finite state case). Statistics 25 159-171.
    • (1994) Statistics , vol.25 , pp. 159-171
  • 25
    • 0024479530 scopus 로고
    • A quick simulation method for excessive backlogs in networks of queues
    • Parekh, S., J. Walrand. 1989. A quick simulation method for excessive backlogs in networks of queues. IEEE Trans. Automat. Control 34 54-56.
    • (1989) IEEE Trans. Automat. Control , vol.34 , pp. 54-56
    • Parekh, S.1    Walrand, J.2
  • 26
    • 0345455289 scopus 로고
    • Rare event simulation: A modified RESTART-method using LRE-Algorithm
    • J. Labetoulle, J. W. Roberts, eds. Elsevier Science Publishers, Amsterdam
    • Schreiber, F., C. Görg. 1994. Rare event simulation: a modified RESTART-method using LRE-Algorithm. J. Labetoulle, J. W. Roberts, eds. The Fundamental Role of Teletraffic in the Evolution of Telecommunications Networks. Elsevier Science Publishers, Amsterdam, 787-796.
    • (1994) The Fundamental Role of Teletraffic in the Evolution of Telecommunications Networks , pp. 787-796
    • Schreiber, F.1    Görg, C.2
  • 27
    • 0022893379 scopus 로고
    • CSIM: A C-based, process oriented simulation language
    • IEEE, Piscataway, NJ
    • Schwetman, H. 1986. CSIM: a C-based, process oriented simulation language. Proc. 1986 Winter Simulation Conf., IEEE, Piscataway, NJ.
    • (1986) Proc. 1986 Winter Simulation Conf.
    • Schwetman, H.1
  • 28
    • 0029530646 scopus 로고
    • Rare event simulation in stochastic models
    • IEEE, Piscataway, NJ
    • Shahabuddin, P. 1995. Rare event simulation in stochastic models. Proc. 1995 Winter Simulation Conf., IEEE, Piscataway, NJ.
    • (1995) Proc. 1995 Winter Simulation Conf.
    • Shahabuddin, P.1
  • 30
    • 0001951487 scopus 로고
    • RESTART: A method for accelerating rare event simulations
    • J. W. Cohen, C. D. Pack, eds. Elsevier Science Publishers, Amsterdam
    • _, J. Villén-Altamirano. 1991. RESTART: a method for accelerating rare event simulations. J. W. Cohen, C. D. Pack, eds. Queueing, Performance and Control in ATM. Elsevier Science Publishers, Amsterdam, 71-76.
    • (1991) Queueing, Performance and Control in ATM , pp. 71-76
    • Villén-Altamirano, J.1
  • 31
    • 0028755441 scopus 로고
    • RESTART: A straight-forward method for fast simulation of rare events
    • Society for Computer Simulation, San Diego, CA
    • _, _. 1994. RESTART: a straight-forward method for fast simulation of rare events. Proc. Winter Simulation Conf., Society for Computer Simulation, San Diego, CA.
    • (1994) Proc. Winter Simulation Conf.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.