Diffusion approximations for complex repair systems

DOI10.1002/nav.3800380603zbMath0756.60092OpenAlexW1963239504MaRDI QIDQ3987777

Atam P. Lalchandani, Donald L. Iglehart

Publication date: 28 June 1992

Published in: Naval Research Logistics (NRL) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nav.3800380603

zbMATH Keywords

diffusion approximationbirth-and-death processOrnstein- Uhlenbeck processexponential repair timesexponential failure-time distributionmulti-dimensional repairman problems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Diffusion processes (60J60)

Cites Work

• Approximation of semi-groups of operators
• Weak convergence inapplied probability
• Limit theorems for random walks, birth and death processes, and diffusion processes
• Weak convergence in queueing theory
• Approximations for the repairman problem with two repair facilities, II: Spares
• Approximations for the repairman problem with two repair facilities, I: No spares
• Ehrenfest urn models
• Limit Theorems for the Multi-urn Ehrenfest Model
• Theorems on the convergence to Markov diffusion processes
• Weak Convergence Results for a Class of Multivariate Markov Processes
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