An unreliable M[X]/G/1 retrial Queue with multi optional stages of service and delay in repair

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Radha, J.^1 ; Indhira, K.^1 ; Chandrasekaran, V.M.^1

Department of Mathematics, School of Advanced Sciences, VIT University, Vellore

632014, India^1

关键词: After-service;    Delay Time;    Multi stage;    Retrial queue;    Service delays;    Supplementary variables;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/4/042149/pdf
DOI  :  10.1088/1757-899X/263/4/042149

来源: IOP

【 摘 要 】

Unreliable vacation retrial queue and multi stages of service delay in repair is studied. After completion of the ith(i=1,2,...k) stage of service, the unit may have the option to choose (i+1)thstage of service with probability θi, or with pimay join into orbit to give feedback or may leave the station with probability qi= 1 - pi- θi, (i = 1,2,...k -1) and qi= 1 - pi, (i = k). After service completion if the orbit has no units, server takes avacation. During repair, the unit waiting in the system to complete the remaining service (delay time) is discussed. We analyzed the system using the method of supplementary variable. Simulation results are given using MATLAB.