题名

Performance Analysis and Cost Optimization of Non-Markovian Bulk Queue with 'p'- Entering Discipline during Multiple Adaptive Vacations

DOI

10.6186/IJIMS.2017.28.2.3

作者

S. Jeyakumar;E. Rameshkumar

关键词

Bulk arrival ; general service ; multiple adaptive vacations ; supplementary variable ; dormant period ; 'p'- entering discipline

期刊名称

International Journal of Information and Management Sciences

卷期/出版年月

28卷2期(2017 / 06 / 01)

页次

99 - 111

内容语文

英文

中文摘要

The steady state analysis of M^x/G/1 queue with Multiple Adaptive Vacation (MAV), where the customers enter during the server vacations with probability 'p' (0 ≤ p ≤ 1) is considered. The server provides service to all the entering customers with service follows general distribution. Upon the system being found to be empty, the server immediately takes a vacation of random period. When the server returns to system after a vacation, if the queue length is still empty, he avails another vacation and so on until he completes M number of vacations in successions and the server remains idle and starts service when the server finds a customer in the queue. The probability generating function at an arbitrary time epoch is obtained using Supplementary variable technique. Basic system characteristics such as expected value of the length of the queue, busy period, idle time and expected value of the waiting time are obtained. Cost model is presented and algorithm for finding optimum cost is also presented for the proposed model. Numerical illustration is also provided.

主题分类 基礎與應用科學 > 資訊科學
社會科學 > 管理學
参考文献
  1. Baburaj, C.(2011).A discrete time policy bulk service queue with state dependent service rates.International Journal of Information and Management Sciences,22,311-326.
    連結:
  2. Tian, R.,Yue, D.(2011).Performance Analysis of the N-Policy Queue with Balking and Multiple Vacations.International Journal of Information and Management Sciences,22,419-430.
    連結:
  3. Arumuganathan, R.,Jeyakumar, S.(2004).Analysis of a bulk queue with multiple vacations and closedown times.International Journal of Information and Management Sciences,15,45-60.
  4. Arumuganathan, R.,Jeyakumar, S.(2011).Steady state analysis of a non-morkovian bulk queue with restricted vacations.International Journal of Operational Research,10,307-330.
  5. Heymann, D.(1997).The T - policy for the M/G/1 queueing systems.Management science,23.
  6. Jain, N. K.,Kanethia, D. K.(2006).Transient Analysis of a Queue with Environmental and Catastrophic Effects.International journal of Information and Management Sciences,17,35-45.
  7. Ke, J.C.(2007).Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup.41,1267-1277.
  8. Ke, J.C.,Chu, Y. K.(2006).A modified vacation model Mx/G/1 system.Applied Stochastic models in business and industry,1,1-16.
  9. Lou, C.,Yu, X.(2010).Analysis of Mx/G/1 queue with p- entering discipline adaptive multistage vacations.Mathematical and Computer Modeling,51,361-368.
  10. Medhi, J.(2002).Stochastic Models in queueing Theory.USA:Academic Press.
  11. Takagi, H.(1991).Queueing Analysis: A foundation of performance evaluation.
  12. Tang, Y.,Mao, Y.(2004).The stochastic decomposition for M/G/1 queue with P-entering dis- cipline during server vacation.Acta mathematica Scientia,6,683-688.
  13. Tang, Y.H.,Tang, X.W.(2000).The queueing length distribution for Mx/G/1 queue with single server vacation.Acta Mathematica Scientia, English Series,20,397-498.
  14. Zhu, Y.J.,Zhaung, B.(2004).Analysis on a batch arrival queue with different arrival rates and N- policy.Journal of Jiangsu University (Natural Science Edition),25,145-148.
被引用次数
  1. 何鈺婷(2016)。覆盆子萃取物抑制人類鼻咽癌細胞轉移和侵襲之機制探討。中山醫學大學醫學研究所學位論文。2016。1-85。