Queueing systems with vacation: an overview

S Upadhyaya - International journal of mathematics in …, 2016 - inderscienceonline.com
Vacation models deal with a very important class of real life congestion situations
encountered in day-to-day as well as in industrial scenario. A vacation in queueing context …

[PDF][PDF] Transient analysis of a two-heterogeneous servers queue with impatient behavior

SI Ammar - Journal of the Egyptian mathematical society, 2024 - joems.journals.ekb.eg
Recently,[1] have obtained the transient solution of multi-server queue with balking
andreneging. In this paper, a similar technique is used to drive a new elegant explicit …

An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation

A Krishnamoorthy… - International Journal of …, 2012 - Wiley Online Library
This paper analyzes an M/M/2 queueing system with two heterogeneous servers, one of
which is always available but the other goes on vacation in the absence of customers …

Energy saving strategy and Nash equilibrium of hybrid P2P networks

Z Ma, C Zhang, L Zhang, S Wang - Journal of Parallel and Distributed …, 2021 - Elsevier
This paper proposes a penalty strategy with differentiated service rate based on the free
riding phenomenon in P2P networks, and establishes an M/M/c+d queueing model. Based …

Modelling and optimisation of a two-server queue with multiple vacations and working breakdowns

DY Yang, YH Chen, CH Wu - International Journal of Production …, 2020 - Taylor & Francis
This paper presents a steady-state analysis of an M/M/2 queue with heterogeneous servers
(Server 1 and Server 2). Server 1 is reliable and may leave for a vacation when the system …

Threshold N-Policy for Degraded Machining System with Multiple Type Spares and Multiple Vacations

M Jain, S Upadhyaya - Quality Technology & Quantitative …, 2009 - Taylor & Francis
This paper deals with a multi-component machining system consisting of M operating units
along with k types of spare machines. The repair facility comprises of R heterogeneous …

Heterogeneous two-server queueing system with reverse balking and reneging

AA Bouchentouf, A Messabihi - Opsearch, 2018 - Springer
This paper presents an analysis of heterogeneous two-server queueing system with
feedback, reverse balking, reneging and retention of reneged customers. The steady-state …

Transient solution of a two-heterogeneous servers' queuing system with retention of reneging customers

R Kumar, S Sharma - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
In this paper, the transient solution of a Markovian queuing system with two heterogeneous
servers and retention of reneging customers is obtained. The explicit transient probabilities …

A Two-Server Queue with Interdependence between Arrival and Service Processes

A Krishnamoorthy, D Kozyrev - Mathematics, 2023 - mdpi.com
In this paper, we analyse a queueing system with two servers where the arrival and service
processes are interdependent. The evolution of these processes is governed by transitions …

An Analysis of Three Servers Markovian Multiple Vacation Queueing System with Servers Breakdown

V Karthick, V Suvitha - IAENG International Journal of Applied …, 2023 - search.proquest.com
Abstract An M/M/3 repairable Markovian queueing system with servers on vacation has
been taken into consideration. The service rates of the servers in this system differ. Each …