Title: Queueing model of optional type of services with service stoppage and revamp process in web hosting queueing

Authors: S. Maragatha Sundari; Miriam Cathy Joy

Addresses: Department of Mathematics, Kalasalingam University, Anand Nagar, 626126 Krishnankoil, Tamilnadu, India ' Department of Electronics and Communication Engineering, Kalasalingam University, Anand Nagar, Krishnankoil-626126, Tamilnadu, India

Abstract: The model in this study is designed for the major aspect of web hosting which has an outstanding role in communication identity. To serve the files that structure web pages to users, in retort to their requirements, which are forwarded by their computers, the web server program is used. This paper deals with the study of a queuing model of three types of services in which any of the type of service can be selected by the arriving customers. The customers arriving in batches follow a Poisson distribution. Service time follows a general distribution. At the time of service, breakdown of the system is an unavoidable task. To get rid of this the system is provided with a repair process. In addition, after the completion of service if the system finds empty then the server has the option of consuming one among the two types of vacation policies, viz. short and long vacations. During vacation time, maintenance work is carried out. Time dependent solution, steady state solution and all the queuing performance procedures of the model is discussed. Special cases of interest have been investigated. Moreover, the model is vindicated by numerical illustration and graphical depiction different parameter approaches in the model is evidently premeditated in the numerical results.

Keywords: optional types; service stoppage; revamp process; vacation policy.

DOI: 10.1504/IJKMTH.2017.085872

International Journal of Knowledge Management in Tourism and Hospitality, 2017 Vol.1 No.2, pp.241 - 262

Received: 14 Feb 2017
Accepted: 30 Mar 2017

Published online: 16 Aug 2017 *

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