삼변수 Med(N, T, D) 운용방침에 따른 Busy Period 기대값의 상한과 하한 유도
Upper and Lower Bounds of the Expected Busy Period for the Triadic Med(N, T, D) Policy
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초록
Using the known result of the expected busy period for the triadic Med (N, T, D) operating policies applied to a controllable M/G/1 queueing model, its upper and lower bounds are derived to approximate its corresponding actual values. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T, D) or Max (N, T),Max (N, D) and Max (T, D) with the simple N, T and D operating policies without using any other types of triadic operating policies such as Min (N, T, D) and Max (N, T, D) policies. All three input variables N, T and D are equally contributed to construct such bounds for estimation of the expected busy period.
Abstract
Using the known result of the expected busy period for the triadic Med (N, T, D) operating policies applied to a controllable M/G/1 queueing model, its upper and lower bounds are derived to approximate its corresponding actual values. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T, D) or Max (N, T),Max (N, D) and Max (T, D) with the simple N, T and D operating policies without using any other types of triadic operating policies such as Min (N, T, D) and Max (N, T, D) policies. All three input variables N, T and D are equally contributed to construct such bounds for estimation of the expected busy period.
참고문헌 (14)
- Balachandran, K.R., "On the D-policy for the M", G, Management Science, pp.1975, 9[DOI]
- Conolly, B., "Lecture Notes on Queueing Systems" (1975), Halsted
- Gakis, K.G., "Distributions and First Moments of the Busy and Idle Periods in Controllable M", G, Stochastic Analysis and Applications, pp.1995, 13(1)[DOI]
- Heyman, D., "The T-policy for the M", G, Management Science, pp.1977, 23(7)[DOI]
- Kleinrock, L, "Queueing Systems, Vol. 1 : Theory" (1975), John Wiley and Sons
- Rhee, H. K., "Development of a New Methodology to find the Expected Busy Period for Controllable M", G, Journal of the Korean Institute of Industrial Engineers, pp.1997, 23(4)[DOI]
- 이한교, "조정가능한 M", G, 산업경영시스템학회지, pp.2009, 32(3)[DOI]
- 이한교, "가장 일반화된 형태의 삼변수 운용방침 개발과그에 따른 Busy Period 기대값 유도", 산업경영시스템학회지, 32(4), pp.161~168 (2009), 한국산업경영시스템학회
- 이한교, "Busy period 기대값을 사용하여 삼변수 Min(N, T, D)와 Max(N, T, D) 운용방침사이의 관계식 설정", 산업경영시스템학회지, 33(3), pp.63~70 (2010), 한국산업경영시스템학회
- 이한교, "삼변수 Max(N, T, D) 운용방침이 적용되는 조정가능한 M", G, 산업경영시스템학회지, pp.2011, 34(1)[DOI]
- 이한교, "Busy Period 기대값을 사용하여 가장 일반화된 삼변수 운용방침의 분석", 산업경영시스템학회지, 34(4), pp.162~168 (2011), 한국산업경영시스템학회
- Rhee, H.K., "Distribution of the Busy Period in a Controllable M", M, Journal of Applied Probability, pp.1990, 27[DOI]
- Teghem, J., "Control of the Service Process in a Queueing System", European Journal of Operational Research, 23, pp.141~158 (1986)
- Yadin, M., "Queueing System with Removable Service Station", Operational Research Quarterly, 14, pp.393~405 (1963)