Diffusion approximation to theG/G/R machine repair problem with warm standby spares

DOI<753::AID-NAV3220370513>3.0.CO;2-B 10.1002/1520-6750(199010)37:5<753::AID-NAV3220370513>3.0.CO;2-BzbMath0721.90036OpenAlexW2029783091MaRDI QIDQ5753727

B. D. Sivazlian, Kuo-Hsiung Wang

Publication date: 1990

Full work available at URL: https://doi.org/10.1002/1520-6750(199010)37:5<753::aid-nav3220370513>3.0.co;2-b

zbMATH Keywords

diffusion processheavy trafficwarm standbyG/G/R machine repair problem

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25) Diffusion processes (60J60) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items

Continuous approximations of the machine repair system ⋮ An \(M/M/s\)-consistent diffusion model for the \(GI/G/s\) queue ⋮ A survey of the machine interference problem ⋮ \(N\) policy for redundant repairable system with additional repairmen. ⋮ Asymptotic analysis of the heterogeneous machine interference problem with random environments

Cites Work

• Heavy Traffic Limit Theorems for Queues: A Survey
• On Approximate Computer System Models
• A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic
• Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
• Application of the Diffusion Approximation to Queueing Networks II: Nonequilibrium Distributions and Applications to Computer Modeling
• Unnamed Item
• Unnamed Item