Optimal control of an M/Ek/1 queueing system with removable service station subject to breakdowns

K.-H. Wang

50 citations0/0 files storedJournal of the Operational Research Society

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 Reliability and Maintenance Optimization Age of Information Optimization

Abstract

In this paper we deal with a single removable service station queueing system with Poisson arrivals and Erlang distribution service times. The service station can be turned on at arrival epochs or off at departure epochs. While the service station is working, it is subject to breakdowns according to a Poisson process. When the station breaks down, it requires repair at a repair facility, where the repair times follow the negative exponential distribution. Conditions for a stable queueing system, that is steady-state, are provided. The steady-state results are derived and it is shown that the probability that the service station is busy is equal to the traffic intensity. Following the construction of the total expected cost function per unit time, we determine the optimal operating policy at minimum cost.

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 — 50 citations exist upstream.

References

1977Fundamentals of Queueing Theory.1987Stochastic Modelling and Analysis: A Computational Approach.1985Fundamentals of queueing theory (2nd ed.).1963Queueing Systems with a Removable Service Station 1968Optimal Operating Policies for M / G /1 Queuing Systems 1971Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server 1995Optimal operation of a markovian queueing system with a removable and non-reliable server 1987Optimal control of a removable server in an M/G/1 queue with finite capacity

Cited by

2005On M/G/1 system under NT policies with breakdowns, startup and closedown 2004Bilevel control of degraded machining system with warm standbys, setup and vacation 2004Bi-level control for batch arrival queues with an early startup and un-reliable server 2013Markovian queue optimisation analysis with an unreliable server subject to working breakdowns and impatient customers 2009Controlling arrivals for a queueing system with an unreliable server: Newton-Quasi method

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.