Analysis of an M/G/1 Queue with Multiple Vacations and Exceptional Services

• Baba, Yutaka

抄録

This paper studies a generalized M/G/1 queue with multiple vacations in which the first N customers of each busy period receive exceptional services. Applying the supplementary variable approach, we derive the generating function of steady state queue length distribution that n customers have been served since the beginning of the current busy period. Furthermore, we present a computationally tractable scheme to recursively determine the moments of queue length distribution and sojourn time distribution. Special cases are treated in detail.

収録刊行物

• 横浜国立大学教育人間科学部紀要IV(自然科学)

  横浜国立大学教育人間科学部紀要IV(自然科学) 13 53-61, 2011-02

  横浜 : 横浜国立大学教育人間科学部

キーワード

• M/G/1 queue
• Multiple vacations
• Exceptional services
• Supplementary variable approach

詳細情報

• CRID: 1050282677658510208
• NII論文ID: 110009586794
• NII書誌ID: AA11311937
• ISSN: 13444646
• NDL書誌ID: 11260796
• Web Site: http://hdl.handle.net/10131/7631
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11260796
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • NDL
  • CiNii Articles