Analysis of bulk queueing system with single service and single vacation

[摘要] A batch arrival queueing system with two types of service pattern with single vacation is considered. If the queue length is more than or equal to the minimum of batch size 'a', the bulk service can be provided otherwise the single service or single vacation is provided. After completing the bulk service, if the queue length is less than 'a' then the server leaves for single vacation. After completing the single vacation, if the queue length is greater than or equal to 'a' then the server will provide the bulk service, otherwise, the server goes to single service. The queue size distribution of the developed model is obtained and the performance measures of the developed queueing model are established. The particular cases of the proposed queuing model are also discussed.

[发布机构] Department of Mathematics, School of Advanced Sciences, VIT University, Vellore; 632014, India^1

[效力级别] 工业技术

[关键词] Batch arrival queueing system;Developed model;Performance measure;Queue size distribution;Queueing system;Queuing models;Service patterns;Single vacation