An improved variant of the rare event simulation method RESTART using prolonged retrials

Allen, 2005, Sampling rare switching events in biochemical networks, Phys Rev Lett, 94, 10.1103/PhysRevLett.94.018104 Bréhier, 2016, Unbiasedness of some generalized adaptive multilevel splitting algorithms, Ann Appl Probab, 26, 3559, 10.1214/16-AAP1185 Botev, 2013, Static network reliability estimation via generalized splitting, Informs J Comput, 25, 56, 10.1287/ijoc.1110.0493 Buijsrogge, 2018, Importance sampling versus RESTART for simulation over long time intervals Cérou, 2007, Adaptive multilevel splitting for rare event analysis, Stoch Anal Appl, 25, 417, 10.1080/07362990601139628 Ching, 2005, Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with Splitting, Comput Methods Appl Mech Eng, 194, 1557, 10.1016/j.cma.2004.05.028 Del Moral, 2005, Genealogical particle analysis of rare events, Ann Appl Probab, 15, 2496, 10.1214/105051605000000566 Garvels, 2000 Hyytiä, 2018, Evaluating rare events in mission critical dispatching systems Kahn, 1951, Estimation of particle transmission by random sampling, Natl Bur Stand Appl Math Ser, 12, 27 Swenson, 2019, OpenPathSampling: a Python framework for path sampling simulations. I. Basics, J Chem Theory Comput, 15, 837, 10.1021/acs.jctc.8b00627 Turati, 2018, Adaptive simulation for failure identification in the advanced lead fast reactor European demonstrator, Prog Nucl Energy, 103, 176, 10.1016/j.pnucene.2017.11.013 Villén-Altamirano, 2010, Importance function for RESTART simulation of general Jackson networks, Eur J Oper Res, 203, 156, 10.1016/j.ejor.2009.07.013 Villén-Altamirano, 2018, RESTART vs. Splitting: a comparative study, Perform Eval, 121–122, 38, 10.1016/j.peva.2018.02.002 Villén-Altamirano, 1994, Enhancement of the accelerated simulation method RESTART by considering multiple thresholds, 797 Villén-Altamirano, 1991, RESTART: a method for accelerating rare event simulations, 71 Villén-Altamirano, 1991, Accelerated simulation of rare event using RESTART method with hysteresis, 240 Villén-Altamirano, 2002, Analysis of RESTART simulation: theoretical basis and sensitivity study, Eur Trans Telecommun, 13, 373, 10.1002/ett.4460130409 Villén-Altamirano, 2006, On the efficiency of RESTART for multidimensional state systems, ACM Trans Model Comput Simul, 16, 251, 10.1145/1147224.1147227 Zare-Noghabi, 2017, Rare event simulations for potential wake encounters, 2554 Zimmermann, 2017, Dependability evaluation of AFDX real-time avionic communication networks, 22