Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic

9 references·16 citing·35 second hop

FromToDepth

this work references cited by second hop

References

1961A Proof for the Queuing Formula: L = λ W2,777 cited
1952The theory of queues with a single server876 cited
1970Multiple channel queues in heavy traffic. I438 cited
1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
1968Diffusion approximations and models for certain congestion problems132 cited
1974Heavy Traffic Limit Theorems for Queues: A Survey130 cited
1968Queues with time-dependent arrival rates I—the transition through saturation109 cited
1964General Stochastic Processes in the Theory of Queues101 cited
1971Applications of Queueing Theory.69 cited

Cited by

2012Interpolation approximations for queues in series54 cited
1982Refining diffusion approximations for queues51 cited
1981Optimal control of an M/G/1 queuing system with removable server via diffusion approximation49 cited
1978A Diffusion Approximation to the Multi-Server Queue49 cited
2013Classification of queueing models for a workstation with interruptions: a review44 cited
1995Diffusion approximation to a queueing system with time-dependent arrival and service rates

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

44 cited

2014Taxonomy of batch queueing models in manufacturing systems37 cited

1975On-Line and Adaptive Optimum Advertising Control by a Diffusion Approximation37 cited

2011Queueing models for a single machine subject to multiple types of interruptions32 cited

1982A Class of Approximations for the Waiting Time Distribution in aGI/G/1 Queueing System32 cited

1985Heavy traffic approximations for busy period in an M/G/∞ queue30 cited

1981A Diffusion Approximation for Bulk Queues30 cited

1977An Approximation to Queueing Systems with Interruptions25 cited

2016Variability and the fundamental properties of production lines19 cited

1979Approximation techniques in the solution of queueing problems17 cited

1983Queueing systems with service interruptions: An approximation model14 cited