조정가능한 M/G/1 대기모형에 삼변수 Min(N,T,D)운용방침이 적용될 때 busy period기대값의 상한과 하한 유도
Derivations of Upper and Lower Bounds of the Expected Busy Periods for the Triadic Min(N, T, D) Operating Policy applied to a Controllable M/G/1 Queueing Model
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초록
Using the known result of the expected busy period for the triadic Min (N, T, D) operating policy applied to a controllable M/G/1 queueing model, its upper and lower bounds are derived to approximate its corresponding actual value. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T,D) and simple N, T and D operating policies. All three input variables N, T and D are equally contributed to construct such bounds for better approximations.
Abstract
Using the known result of the expected busy period for the triadic Min (N, T, D) operating policy applied to a controllable M/G/1 queueing model, its upper and lower bounds are derived to approximate its corresponding actual value. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T,D) and simple N, T and D operating policies. All three input variables N, T and D are equally contributed to construct such bounds for better approximations.
참고문헌 (15)
- Balachandran,K.R, "On the D-policy for the M", G, Management Science, pp.1975, 9[DOI]
- Brill,P.H, "Waiting Times for M", G, Naval Research Logistics, pp.1992, 39[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]
- Kella,O, "Priorities in M", G, Naval Research Logistics, pp.1988, 35[DOI]
- Kella,O, "The Threshold Policy in the M", G, Naval Research Logistics, pp.1989, 36[DOI]
- Kleinrock,L, "Queueing Systems, Theory", pp.1~ (1975), John Wiley and Sons
- Rhee,H.K, "Development of a New Methodology to find the Expected Busy Period for Controllable M", G, 대한산업공학회지, pp.1997, 23(4)[DOI]
- Rhee,H.K, "조정가능한 대기모형에 이변수 운용 방침(Dyadic Policy)이 적용될 때 busy period의 기대값의 수리적 분석", 한남대학교논문집, 32, pp.141~153 (2002)
- 이한교, "삼변수운용방침이 적용되는 M", G, 산업경영시스템학회지, pp.2007, 30(2)[DOI]
- H.K.Rhee, "Distribution of the Busy Period in a Controllable M", M, Journal of Applied Probability, pp.1990, 27[DOI]
- Sivazlian,B.D, "A Dyadic Age-Replacement Policy for a Periodically Inspected Equipment Items Subject to Random Deterioration", European Journal of Operational Research, 6, pp.315~320 (1981)
- 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)