Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Modeling the IRS taxpayer information system
Operations Research
Some effects of nonstationarity on multiserver Markovian queueing systems
Operations Research
Mt/G/∞ queues with sinusoidal arrival rates
Management Science
The physics of the Mt/G/ ∞ symbol Queue
Operations Research
Strong approximations for time-dependent queues
Mathematics of Operations Research
Matrix computations (3rd ed.)
Use of Polya distributions in approximate solutions to nonstationary M/M/s queues
Communications of the ACM - Special issue on simulation modeling and statistical computing
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Time Series Analysis: Forecasting and Control
Time Series Analysis: Forecasting and Control
Peak congestion in multi-server service systems with slowly varying arrival rates
Queueing Systems: Theory and Applications
Monotone Optimal Policies for a Transient Queueing Staffing Problem
Operations Research
The Pht/Pht/8 Queueing System: Part I--The Single Node
INFORMS Journal on Computing
The [Pht/Pht/8]K Queueing System: Part II--The Multiclass Network
INFORMS Journal on Computing
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Supply Chain Management and Advanced Planning: Concepts, Models, Software, and Case Studies
Supply Chain Management and Advanced Planning: Concepts, Models, Software, and Case Studies
Mathematical formalisms for performance evaluation of networks-on-chip
ACM Computing Surveys (CSUR)
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This paper is concerned with characterizing the transient behavior of general queueing systems, which is widely known to be notoriously difficult. The objective is to develop a statistical methodology, integrated with extensive offline simulation and preliminary queueing analysis, for the estimation of a small number of transfer function models (TFMs) that quantify the input-output dynamics of a general queueing system. The input here is the time-varying release rate of entities to the system; the time-dependent output performances include the output rate of entities and the mean of the work in process (i.e., number of entities in the system). The resulting TFMs are difference equations, like the discrete approximations of the ordinary differential equations provided by an analytical approach, while possessing the high fidelity of simulation. The proposed method is expected to overcome the shortcomings of the existing transient analysis approaches, i.e., the computational burden of simulation and the lack of fidelity of analytical queueing models.