N-policy for M^(x)/G/1 Unreliable Retrial G-Queue with Preemptive Resume and Multi-services  

作　　者：Amita Bhagat Madhu Jain 

机构地区：[1]Department of Applied Sciences,The Northcap University,Gurgaon 122017,India [2]Department of Mathematics,Indian Institute of Technology Roorkee,Roorkee 247667,India

出　　处：《Journal of the Operations Research Society of China》2016年第4期437-459,共23页中国运筹学会会刊（英文）

摘　　要：Bulk arrival retrial G-queue with impatient customers and multi-servicessubject to server breakdowns has been analyzed. The system allows the arrival oftwo types of customers: positive customers and negative customers in the system.The negative customers make the server fail if they find the server in busy state,whereas positive customers are served if the server is idle otherwise they join thevirtual pool of customers called orbit. The customers from the retrial orbit try theirchance again for the service. The customers have the option of obtaining more than oneservice. Moreover, the customers are impatient and may renege from the system withprobability (1−r ). The server is sent for repair as soon as it breakdowns;after repair,the service process starts again. Also, the server has the provision to initiate the servicewhen there areN customers accumulated in the system. Using supplementary variablestechnique and generating functions, various performance measures like reliabilityindices and long run probabilities have been obtained.

关 键 词：Retrial queue N-policy vacation Negative customers RENEGING Bulk arrival Breakdowns Preemptive resume Multi-services 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]