MAP/M/c queue with constant impatient time

• 成果类型: Article
• 署名作者: Choi, BD; Kim, B; Zhu, DB
• 署名单位: Korea University; Samsung Electronics; Samsung
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1030.0081
• 发表日期: 2004
• 页码: 309-325
• 关键词: customer impatience; SYSTEM

摘要

We consider a MAP/M/c queue where a customer who cannot begin to receive his service for a fixed time is lost. We find a simple Markov process by using a concept of virtual waiting time and then obtain the stationary distribution of the Markov process. We find several performance measures such as loss probability, waiting time distribution, mean waiting time, and mean queue size by using the results of the stationary distribution of the Markov process.