The BMAP/SM/1 retrial queue with controllable operation modes |
| |
| Institution: | 1. Department of Mathematics, Korea University, 1 Anam-dong, Sungbuk-gu, Seoul 136-701, South Korea;2. Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-dong, Yusong-gu, Taejon 305-701, South Korea;3. Department of Applied Mathematics and Informatics, Belarus State University 4, F.Skorina ave., Minsk-50, Byelorussia;1. Graduate Institute of Plant Biology, College of Life Science, National Taiwan University, Taipei 106, Taiwan, ROC;2. Department of Life Science, College of Life Science, National Taiwan University, Taipei 106, Taiwan, ROC;3. Institute of Plant and Microbial Biology, Academia Sinica, Taipei, Taiwan;1. Department of Gastroenterology, St Antoine Hospital, AP-HP, Faculté de Médicine Pierre et Marie Curie, Paris, France;2. IMAD & Hepato-Gastroenterology and Digestive Oncology, CHU de Nantes, France;3. Department of Pathology, St Antoine Hospital, AP-HP, Faculté de Médecine Pierre et Marie Curie, Paris, France;4. Department of Gastroenterology, CHU Reims, France;5. Department of Radiotherapy, St Louis Hospital, AP-HP, Paris, France;6. Fédération Francophone de Cancérologie Digestive (FFCD), Dijon, France;1. South Australia Water Corporation, GPO Box 1751, Adelaide, SA 5001, Australia;2. Australian Water Quality Centre, GPO Box 1751, Adelaide, SA 5001, Australia;1. College of Natural Resources and Environment, Northwest A&F University, Yangling 712100, China;2. Centre for Environmental Sciences, University of Sindh, Jamshoro 76080, Pakistan;3. Department of Soil and Environmental Sciences, The University of Agriculture, Peshawar 25130, Pakistan;1. Institute of Vegetables Research, Zhejiang Academy of Agricultural Sciences, Hangzhou 310021, China;2. Horticultural Research Institute, Yunnan Academy of Agricultural Sciences, Kunming 650205, China |
| |
| Abstract: | We deal with a single-server retrial queueing system having two modes of operation. Under the fixed mode, the system operates as an usual system with a batch Markovian arrival process (BMAP), semi-Markovian (SM) service process and a constant total retrial rate. Different modes are distinguished by characteristics of the input, service and retrial rate. The mode of operation can be switched at the service completion epochs depending on the queue-length. The strategy of control belongs to the class of hysteretic strategies. We calculate a stationary distribution of numbers of calls in the orbit at service completion epochs. We also discuss the problem of optimizing the strategy of control. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
