Management Science · 1971 · 154 citations · 6 references
BusinessComputer ScienceSimulation-based DesignStochastic ModelingStochastic ProcessesMonte Carlo MethodsMonte Carlo SimulationNetwork AnalysisSimulation MethodsStochastic NetworksStochastic Systems ModelingConditional Monte CarloCumulative Distribution FunctionsMonte Carlo EstimationMonte Carlo Simulation ModelingNetwork SimulationStochastic Network ModelsStochastic SimulationWheatstone Bridge Analysis
This paper is concerned with a simulation procedure for estimating the distribution functions of the time to complete stochastic networks. The procedure, called conditional Monte Carlo, is shown to be substantially more efficient (in terms of the computational effort required) than traditional simulation methods. The efficacy of conditional Monte Carlo and its use in conjunction with other Monte Carlo methods is illustrated for the Wheatstone bridge network. The applicability of the procedure to larger networks, as well as other stochastic systems, is discussed, and a general method is given for its implementation.
6
N. Metropolis, Stanislaw M. Ulam · Journal of the American Statistical Association · 1949 · 6.1K citations
The Greatest of a Finite Set of Random Variables
Charles E. Clark · Operations Research · 1961 · 727 citations
Distribution of the Time Through a Directed, Acyclic Network
J. J. Martin · Operations Research · 1965 · 217 citations