方法对比
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| 随机排队模拟× | 马尔可夫模型× | |
|---|---|---|
| 领域 | 仿真 | 仿真 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1953 | 1906 |
| 提出者≠ | Kendall, D. G. | Andrei Markov |
| 类型≠ | Stochastic simulation — waiting-line system analysis | Probabilistic state-transition model |
| 开创性文献≠ | Kendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics, 24(3), 338–354. DOI ↗ | Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963 |
| 别名 | SQS, Probabilistic Queueing Simulation, Stochastic Queue Modeling, Random Queueing Simulation | Markov Chain, Discrete-Time Markov Chain, DTMC, Markov Process |
| 相关≠ | 6 | 5 |
| 摘要≠ | Stochastic Queueing Simulation models waiting-line systems where arrival and service processes follow probability distributions rather than fixed rates. By simulating thousands of random events, it estimates performance measures — mean waiting time, queue length, server utilization — under realistic uncertainty, making it the standard tool for designing and evaluating service systems from hospitals to call centers. | A Markov Model represents a system as a finite set of states and specifies the probability of moving from one state to another at each time step. By capturing only the current state — not the full history — it enables tractable analysis of complex dynamic processes across health economics, engineering reliability, operations research, and social-science modeling. |
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