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Journal ArticleDOI

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

TLDR
This paper presents a steady-state analysis of an M/M/2 queue with heterogeneous servers (Server 1 and Server 2) using the matrix geometric method to compute the stationary distribution of system size and presents numerical results showing the effects of various parameters on the approximate optimal service rates.
Abstract
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 becomes empty. Se...

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Citations
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Journal ArticleDOI

Reliability analysis and selective maintenance for multistate queueing system

TL;DR: This article focuses on the queueing process of tasks and analyse the performance and reliability of MSS in an M/M/2 queueing model, which is referred to as a multi-state queueing system (MSQS).
Journal ArticleDOI

Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities

TL;DR: This paper studies a special batch service polling system (the so-called Israeli queue) with priorities and formulate the revenue function of the service provider and presents the Particle Swarm Optimization algorithm to seek the optimal service prices for the high-priority and low-priority customers to maximize the service providers’ revenue under the two levels of information.
Journal ArticleDOI

Timely Reliability Analysis of Virtual Machines Considering Migration and Recovery in an Edge Server

TL;DR: In this paper, the authors study the influence of failure, migration, and recovery of VMs in an edge server and build a continuous-time Markov chain (CTMC) to obtain the VMs timely reliability and the end-to-end timely reliability (ETR).
Journal ArticleDOI

Study on Transient Queue-Size Distribution in the Finite-Buffer Model with Batch Arrivals and Multiple Vacation Policy.

TL;DR: In this paper, the transient behavior of the finite buffer queueing model with batch arrivals and generally distributed repeated vacations is analyzed, and a compact-form solution for the corresponding system written for Laplace transforms is obtained using an algebraic approach based on Korolyuk's potential method.
References
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Journal ArticleDOI

The particle swarm - explosion, stability, and convergence in a multidimensional complex space

TL;DR: This paper analyzes a particle's trajectory as it moves in discrete time, then progresses to the view of it in continuous time, leading to a generalized model of the algorithm, containing a set of coefficients to control the system's convergence tendencies.
Proceedings ArticleDOI

Particle swarm optimization: developments, applications and resources

TL;DR: Developments in the particle swarm algorithm since its origin in 1995 are reviewed and brief discussions of constriction factors, inertia weights, and tracking dynamic systems are included.
Journal ArticleDOI

Particle Swarm Optimization: Basic Concepts, Variants and Applications in Power Systems

TL;DR: This paper presents a detailed overview of the basic concepts of PSO and its variants, and provides a comprehensive survey on the power system applications that have benefited from the powerful nature ofPSO as an optimization technique.
Journal ArticleDOI

Queueing systems with vacations—a survey

B. Doshi
- 01 Jan 1986 - 
TL;DR: This survey gives an overview of some general decomposition results and the methodology used to obtain these results for two vacation models and attempts to provide a methodological overview to illustrate how the seemingly diverse mix of problems is closely related in structure and can be understood in a common framework.
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