دانلود رایگان ترجمه مقاله آنالیز یک مدل تعطیلی برای سیستم صف بندی دو فازه با خدمات ورودی (نشریه الزویر 2015)

طراحی و آنالیز یک مدل تعطیلی برای سیستم صف بندی دو فازه با خدمات ورودی

Design and Analysis of a Vacation Model for Two-Phase Queueing System with Gated Service

Abstract

This paper mainly deals with a two phase service queueing model with gated service vacation. In this gated service vacation model, only those customers who are present in the queue when the server starts a batch mode service are taken into the batch. We have derived probability generating functions of the system size and the orbit size. We have investigated the conditions under which the steady state exists. Some useful performance measures are also obtained. The service to further arrivals is deferred until the server completes the second phase individual service to the batch. Based on the numerical calculations and graphical representations it reveals the fact that this type of modelling helps in analyzing certain situations in which customers require service in two stages of which the first stage of service is essentially of gated type.

1 Introduction

In this paper we study the two phase queueing system with gated service and multiple server vacations. The gated service policy to be considered in the present model under consideration is exceptional in the sense that the server’s gated mechanism will last until the system becomes empty after which the server is allowed to take vacations. In certain situations it is necessary to perform batch mode service to those customers only who are present in the system at the commencement of the batch service. Customers first enter into a waiting room. They are served in the service room. When the service room becomes empty, all the customers in the waiting room are transferred to service room when they served individually. At such epochs of transfer of customers from the waiting room, a random number of overhead customers are also added to the service room.