Derivation of the Expected Busy Period for the Controllable M/G/1 Queueing Model Operating under the Triadic Policy using the Pseudo Probability Density Function

삼변수운용방침이 적용되는 M/G/1 대기모형에서 가상확률밀도함수를 이용한 busy period의 기대값 유도

  • Rhee, Hahn-Kyou (Department of Industrial & Management Engineering, Hannam University) ;
  • Oh, Hyun-Seung (Department of Industrial & Management Engineering, Hannam University)
  • 이한교 (한남대학교 산업경영공학과) ;
  • 호현승 (한남대학교 산업경영공학과)
  • Published : 2007.06.30

Abstract

The expected busy period for the controllable M/G/1 queueing model operating under the triadic policy is derived by using the pseudo probability density function which is totally different from the actual probability density function. In order to justify the approach using the pseudo probability density function to derive the expected busy period for the triadic policy, well-known expected busy periods for the dyadic policies are derived from the obtained result as special cases.

Keywords

References

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