Two-Server Bulk-Service Queuing Process

Kiran Arora

16 citations0/0 files storedOperations Research

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

In the present paper a two-server queuing process fed by Poisson arrivals and exponential service time distributions has been considered under the bulk-service discipline. Time-dependent probabilities for the queue length have been obtained in terms of Laplace transforms, from which different measures associated with the queuing process could be determined. The mean queue-length and the distributions of the length of busy periods for (i) at least one channel is busy and (ii) both channels being busy, are obtained.

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 — 16 citations exist upstream.

References

1956The Solution of the Single-Channel Queuing Equations Characterized by a Time-Dependent Poisson-Distributed Arrival Rate and a General Class of Holding Times 1959A Contribution to the Theory of Bulk Queues 1960Time-Dependent Solution of the Many-Server Poisson Queue 1960Time-Dependent Solution of the Bulk-Service Queuing Problem 1962The General Bulk Queue as a Hilbert Problem

Cited by

2001Analytic approximations for multiserver batch-service workstations with multiple process recipes in semiconductor wafer fabrication

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.