Linganisha mbinu

	Uigaji wa Mfumo wa Kungoja	Uigaji wa Mfumo wa Msafara wa Stochastiki
Nyanja	Uigaji	Uigaji
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1909	1953
Mwanzilishi	Agner Krarup Erlang	Kendall, D. G.
Aina	Stochastic simulation / analytical modeling	Stochastic simulation — waiting-line system analysis
Chanzo asilia	Kleinrock, L. (1975). Queueing Systems, Volume 1: Theory. Wiley-Interscience, New York. ISBN: 978-0471491101	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.
Majina mbadala	Queue Simulation, Queuing Theory Simulation, Waiting-Line Simulation, DES-Queue	SQS, Probabilistic Queueing Simulation, Stochastic Queue Modeling, Random Queueing Simulation
Zinazohusiana	6	6
Muhtasari	Queueing Simulation combines classical queueing theory with discrete-event simulation to model systems where entities arrive, wait for service, and depart. It predicts performance metrics such as average waiting time, queue length, and server utilization, enabling capacity planning and bottleneck identification across service, manufacturing, healthcare, and network systems.	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.