삼변수 Max(N, T, D) 운용방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period 기대값의 상한과 하한 유도
Derivations of Upper and Lower Bounds of the Expected Busy Periods for a Controllable M/G/1 Queueing Model Operating Under the Triadic Max(N, T, D) Policy
0
조회
0
다운로드
4
인용
0
참고문헌
키워드
초록
Using the known result of the expected busy period for a controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy, 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 estimation.
Abstract
Using the known result of the expected busy period for a controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy, 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 estimation.
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", Halsted, ~ (1975)
- Gakis,H.K, "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, 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, 대한산업공학회지, pp.1997, 23(4)[DOI]
- Rhee,H.K, "조정가능한 대기모형에 이변수 운용방침(Dyadic Policy)이 적용될 때 busy period의 기대값의 수리적 분석", 한남대학교논문집, 32, pp.141~153 (2002)
- 이한교, "조정가능한 M", G, 산업경영시스템학회지, pp.2010, 33(2)[DOI]
- 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, "삼변수운용방침이 적용되는 M", G, 산업경영시스템학회지, pp.2007, 30(2)[DOI]
- 이한교, "가상확률밀도함수를 사용하여 Max(N, T, D) 운용방침이 적용되는 조정가능한 M", G, 산업경영시스템학회지, pp.2008, 31(4)[DOI]
- 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)