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

作     者：Amita Bhagat Madhu Jain 

作者机构：Department of Applied SciencesThe Northcap UniversityGurgaon 122017India Department of MathematicsIndian Institute of Technology RoorkeeRoorkee 247667India 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2016年第4卷第4期

页      面：437-459页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：The first author is thankful to Ministry of Human Resource and Development for providing financial grant to carry out the research work 

主　　题：Retrial queue N-policy vacation Negative customers Reneging Bulk arrival Breakdowns Preemptive resume Multi-services 

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 *** 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.