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2010 Chinese Control and Decision Conference

作者： Dequan Yue~1,Ling Wang~1,Tingting Xu~1,Haiying Li~1 1.Department of Statistics,College of Science,Yanshan University,Qinhuangdao 066004,China

＜正＞In this paper,we study a repairable queueing system with two different servers,where Server 1 is perfectly reliable and Server 2 is subject to *** service times of two servers are assumed to follow phase type（PH） distribution and exponential distribution,*** establishing the quasi-birth-and-death（QBD） process of the system states,we first derive the equilibrium condition of the system,and then obtain the matrix-geometric solution for the steady-state probability vectors of the ***,numerical results are presented.

关键词： Queueing system breakdowns Matrix-geometric solution PH distribution Mean system size

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A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE

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Journal of Systems Science & Complexity 2009年第2期22卷 291-302页

作者： Jinting WANG Jianghua LI Department of Mathematics Beijing Jiaotong University Beijing 100044 China. Commanding and Engineering Institute of Chemical De fence Beijing 102205 China.

An M/G/1 retrial queue with a first-come-first-served (FCFS) orbit,general retrial time,two-phase service and server breakdown is investigated in this *** are allowed to balkand renege at particular *** that the customers who find the server busy are queued inthe orbit in accordance with an FCFS *** customers demand the first 'essential' service,whereas only some of them demand the second 'optional' service,and the second service is *** the service,the server is subject to breakdown and *** that the retrialtime,the service time,and the repair time of the server are all arbitrarily *** using thesupplementary variables method,the authors obtain the steady-state solutions for both queueing andreliability measures of interest.

关键词： Balking breakdowns retrial queue two-phase service.

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

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Journal of the Operations Research Society of China 2016年第4期4卷 437-459页

作者： Amita Bhagat Madhu Jain Department of Applied Sciences The Northcap UniversityGurgaon 122017India Department of Mathematics Indian Institute of Technology RoorkeeRoorkee 247667India

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.

关键词： Retrial queue N-policy vacation Negative customers Reneging Bulk arrival breakdowns Preemptive resume Multi-services

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A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods

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American Journal of Operations Research 2013年第6期3卷 570-580页

作者： Monita Baruah Kailash C. Madan Tillal Eldabi Brunel Business School Brunel University London UK College of Information Technology Ahlia University Manama Bahrain

We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods. We concentrate on deriving the steady state solutions by using supplementary variable technique and calculate the mean queue length and mean waiting time. Further some special cases are also discussed and numerical examples are presented.

关键词： Two-Stage Service Batch Arrivals breakdowns Reneging Steady State Queue Size

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Optimization Analysis of Machine Repairable System

Optimization Analysis of Machine Repairable System

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2009中国控制与决策会议

作者： LIU Shu-Qing,LV Sheng-Li,WANG De-Hua College of Science Yanshan University,Qinhuangdao 066004,China

＜正＞Machine repair Queuing system is an important direction of research,In this paper,we deal with the M/M/R machine repair problem with balking,reneging,and server *** using the matrix geometric solution,we give th... 详细信息

关键词： balk renege breakdowns matrix geometric solution

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