Journal of the Korean Statistical Society

  • 제31권3호
  • /
  • Pages.405-413
  • /
  • 2002
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

A Level Crossing Approach to the Analysis of Finite Dam

  • Kim, Sunggon (Division of Electrical Engineering, Department of Electrical Engineering and Computer Science, KAIST) ;
  • Lee, Eui-Yong (Department of Statistics, Sookmyung Women′s University)
  • 발행 : 2002.09.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We consider a finite dam with general inputs and adopt the level crossing approach to obtain explicit formulas of the expected wet period, the expected loss of water due to overflows in a wet period, and the long-run proportion of loss in inputed water.

키워드

참고문헌

  1. Queueing Systems v.38 The virtual wating time of the M/G/1 queue with impatient customers Bae, J.;Kim, S.;Lee, E.Y. https://doi.org/10.1023/A:1010956213680
  2. Operations Research v.25 Level crossings in point process appied to queues: Single-server case Brill, P.H.;Posner, M.J.M. https://doi.org/10.1287/opre.25.4.662
  3. Journal of Applied Probability v.14 On up- and downcrossings Cohen, J.W. https://doi.org/10.2307/3213014
  4. Mathematics of Operations Research v.3 Properties of the process of level crossings during a busy cycle of the M/G/1 queueing system Cohen, J.W. https://doi.org/10.1287/moor.3.2.133
  5. The Single Server Queue (2nd ed.) Cohen, J.W.
  6. Queueing Systmes v.39 Busy periods of Poisson arrival queues with loss Kim, S.;Lee, E.Y.;Bae, J. https://doi.org/10.1023/A:1012700718302
  7. Stochastic Process and Their Applications v.30 The expected wet period of finite dam with exponential inputs Lee, E.Y.;Kinateder, K.K.H.
  8. Stochastic Storage Processes Prabhu, N.U.
  9. Stochastic Processes (2nd ed.) Ross, S.
  10. Journal of Applied Probability v.4 The distribution of the content of finite dams Takacs, L. https://doi.org/10.2307/3212308