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가상확률밀도함수를 사용하여 Max(N, T, D) 운용방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period의 기대값 유도

Derivation of the Expected Busy Period Using its Pseudo Probability Density Function for a Controllable M/G/1 Queueing Model Operating Under the Max (N, T, D) Policy

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초록

The expected busy period for the controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy is derived by using a new concept so called “the pseudo probability density function.” In order to justify the proposed approaches for the triadic policy, well-known expected busy periods for the dyadic policies are recovered from the obtained result as special cases.

Abstract

The expected busy period for the controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy is derived by using a new concept so called “the pseudo probability density function.” In order to justify the proposed approaches for the triadic policy, well-known expected busy periods for the dyadic policies are recovered from the obtained result as special cases.

참고문헌 (15)

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  10. Rhee, H. K., "조정가능한 대기모형에 이변수 운용방침(Dyadic Policy)이 적용될 때 busy period의 기대값의 수리적 분석", 한남대학교 논문집, 32, pp.141~153 (2002)
  11. 이한교, "삼변수운용방침이 적용되는 M", G, 산업경영시스템학회지, pp.2007, 30(2)[DOI]
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