Bounds on the delay distribution inGI/G/1 queues

Sheldon M. Ross

80 citations0/0 files storedJournal of Applied Probability

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

Bounds are obtained for the limiting distribution of the delay in queue for aGI/G/1 system via Martingale theory. These bounds are somewhat stronger than similar bounds recently obtained by Kingman. Simplifications of the bounds are obtained in the special cases where the service distribution is either IFR, DFR, NBU or NWU.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 80 citations exist upstream.

References

1952The theory of queues with a single server 1970Inequalities in the Theory of Queues 1968Some Inequalities in Queuing 1964A martingale inequality in the theory of queues

Cited by

2008Facility Location with Stochastic Demand and Constraints on Waiting Time 1982Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue 1974The continuity of queues 1977Sharp Bounds on Laplace-Stieltjes Transforms, with Applications to Various Queueing Problems 2016Compensating for Dynamic Supply Disruptions: Backup Flexibility Design 1994Risk Theory in a Periodic Environment: The Cramér-Lundberg Approximation and Lundberg's Inequality 2001Lundberg inequalities for renewal equations 1994Refinements and distributional generalizations of Lundberg's inequality

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.