Optimal control of (N, F) policy for unreliable server queue with multi-optional phase repair and start-up

Madhu Jain · Richa Sharma

37 citations0/0 files storedInternational Journal of Mathematics in Operational 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 Reliability and Maintenance Optimization Age of Information Optimization

Abstract

In this paper, we study the modelling and analysis of unreliable M/M/2/K queuing system under N- and F-policy with multi-optional phase repair and start-up. According to the (N, F) policy, the first server is turned on only when there are ‘N’ or more customers are available in the system. The second server is turned on when the queue length of the customers reaches its system capacity K. Furthermore, no more customers are allowed in the system till the number of the customers again drops up to a certain threshold level ‘F’. The servers may break down during busy period. There is a provision of ‘ l ’ phase repairs to restore the servers. The first-phase repair is necessary but remaining ( l – 1) phases are optional. The lifetime, start-up time and repair time of the servers are assumed to be exponentially distributed. Using matrix method, transient probabilities of the system states are determined. To examine the effect of different parameters on various performance indices, the numerical results are provided by taking an illustration.

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 — 37 citations exist upstream.

References

1963Queueing Systems with a Removable Service Station 2010Customer Abandonment in Many-Server Queues 1995Interrelationship between controlling arrival and service in queueing systems 2003The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns☆1973A Note On Operating Policies For The Queue M/M/1 With Exponential Startups 2006Batch arrival queues under vacation policies with server breakdowns and startup/closedown times 2006Optimal control of the N policy M/G/1 queueing system with server breakdowns and general startup times 2008Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime

Cited by

2024Business Management and Planning Using Queuing Model with Heterogeneous Customers for Electrical Applications 2020Cost Optimization and ANFIS Computing of an Unreliable M/M/1 Queueing System with Customers’ Impatience Under N-Policy 2015Double orbit finite retrial queues with priority customers and service interruptions 2020State dependent queueing models under admission control F-policy: a survey 2013

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.