Inhomogeneous CTMC birth-and-death models solved by uniformization with steady-state detection

DOI10.1145/3373758zbMATH Open1544.60081MaRDI QIDQ6600102

Przemyslaw Korytkowski, Maciej Rafal Burak

Publication date: 8 September 2024

Published in: ACM Transactions on Modeling and Computer Simulation (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of branching processes (60J85) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Data-stories about (im)patient customers in tele-queues
• Fitting birth-and-death queueing models to data
• Markov chain models of a telephone call center with call blending
• Combining integer programming and the randomization method to schedule employees
• Numerical transient analysis of Markov models
• Uniformization for nonhomogeneous Markov chains
• Asymptotic results and a Markovian approximation for the \(M(n)/M(n)/s+GI\) system
• Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data
• Efficient and reliable computation of birth-death process performance measures
• A Survey and Experimental Comparison of Service-Level-Approximation Methods for Nonstationary M(t)/M/s(t) Queueing Systems with Exhaustive Discipline
• On the Numerical Analysis of Inhomogeneous Continuous-Time Markov Chains
• Engineering Solution of a Basic Call-Center Model
• Staffing Multiskill Call Centers via Linear Programming and Simulation
• Staffing of Time-Varying Queues to Achieve Time-Stable Performance
• The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes
• Some Effects of Nonstationarity on Multiserver Markovian Queueing Systems
• Improving the Sipp Approach for Staffing Service Systems That Have Cyclic Demands
• Estimating the Largest Eigenvalue of a Positive Definite Matrix
• Choosing arrival process models for service systems: Tests of a nonhomogeneous Poisson process
• Statistical Analysis with Little's Law
• Queueing Networks and Markov Chains
• Statistical Analysis of a Telephone Call Center

This page was built for publication: Inhomogeneous CTMC birth-and-death models solved by uniformization with steady-state detection

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6600102)