Optimal design and performance modelling of \(M/G/1/K\) queueing systems

DOI10.1016/S0895-7177(04)90534-1zbMath1112.90319MaRDI QIDQ1765036

James MacGregor Smith

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

OptimizationApproximationsPerformance measures\(M/G/1/K\)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (10)

A functional approximation for the M/G/1/N queue ⋮ Multi-server, Finite Waiting Room,M/G/c/KOptimization Models ⋮ Throughput maximization of queueing networks with simultaneous minimization of service rates and buffers ⋮ M/G/c/K PERFORMANCE MODELS IN MANUFACTURING AND SERVICE SYSTEMS ⋮ Buffer and server allocation in general multi-server queueing networks ⋮ Topological arrangements of \(M/G/c/K\), \(M/G/c/c\) queues in transportation and material handling systems ⋮ A two-stage approach in solving the state probabilities of the multi-queueM/G/1 model ⋮ A fast simulation model based on Lindley's recursion for the G/G/1/K queue ⋮ Topological network design of general, finite, multi-server queueing networks ⋮ Optimizing the throughput, service rate, and buffer allocation in finite queueing networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generalized expansion method for open finite queueing networks
• Queueing models for a flexible machining station. I: The diffusion approximation
• Qeueing models for performance analysis: Selection of single station models
• Buffer overflow calculations using an infinite-capacity model
• Equivalence relations in the approximations for the \(M/G/s/s+r\) queue.
• Heuristics for Finite-Buffer Queues
• Buffer and server allocation in general multi-server queueing networks
• On Approximate Computer System Models
• Evaluating the Overflow Probability Using the Infinite Queue
• A Transform-Free Approximation for the Finite Capacity M/G/s Queue
• Approximate Models for Processor Utilization in Multiprogrammed Computer Systems
• Optimal buffer design of an m/g/s queue with finite capacity^∗

This page was built for publication: Optimal design and performance modelling of \(M/G/1/K\) queueing systems