ON THE BUSY PERIOD OF AN M/G/1/K QUEUE

• 成果类型: Note
• 署名作者: TAKAGI, H; LAMAIRE, RO
• 署名单位: International Business Machines (IBM); IBM USA
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.42.1.192
• 发表日期: 1994
• 页码: 192-193
• 关键词: Queues; busy period analysis; M/G/1/K QUEUE

摘要

The joint distribution of the length of a busy period and the number of customers served during that busy period in an M/G/1 queue with a finite capacity is expressed as coefficients of a power-series expansion of an explicit function. This new result is related to the previous result by T. J. Harris (1971). An error in his result is found and corrected.