A Service System with Unfilled Requests Repeated

Julian Keilson · John M. Cozzolino · H. Young

104 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 Optimization and Search Problems Age of Information Optimization

Abstract

The object of this paper is to analyze a model of a queuing system in which customers cannot be in continuous contact with the server, but must call in to request service: If the server is free, then the next request to arrive is served immediately; if the server is occupied, however, the unsatisfied customer must break contact and later re-initiate his request. Thus, repeat requests for service from the pool of unsatisfied customers are superimposed on the normal stream of arrivals of first attempts. This system is characteristic of situations in which there is a single operator or source of information that must be called and busy signals are not held. This paper calculates several characteristic quantities of such systems, assuming a general service-time distribution and different exponential distributions for the times between arrivals of first requests and repeat requests.

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 — 104 citations exist upstream.

References

1961A Proof for the Queuing Formula: L = λ W 1963Stochastic Service Systems.1962Introduction to Congestion Theory in Telephone Systems.1960On Time Dependent Queuing Processes

Cited by

1990Single line queue with repeated demands 2002The M/G/1 retrial queue with Bernoulli schedules and general retrial times 2008An retrial queueing system with two phases of service subject to the server breakdown and repair 2002An M/G/1 Retrial Queueing System with Two-Phase Service and Preemptive Resume 2002The M/G/1 retrial queue with feedback and starting failures 1984A service model in which the server is required to search for customers 1995A single-server retrial queue with server vacations and a finite number of input sources 1995On the steady-state queue size distribution of the discrete-timeGeo/G/1 queue with repeated customers

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.