조정가능한 M/G/1 대기모형에 Min(N, D)와 Max(N, D) 운용방침이 적용될 때 busy period 기대값의 상한과 하한 유도
Derivations of Upper and Lower Bounds of the Expected Busy Periods for the Min(N, D) and Max(N, D) Operating Policies in a Controllable M/G/1 Queueing Model
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초록
Using the results of the expected busy periods for the dyadic Min(N, D) and Max(N, D) operating policies in a controllable M/G/1 queueing model, an important relation between them is derived. The derived relation represents the complementary property between two operating policies. This implies that it could be possible to obtained desired system characteristics for one of the two operating policies from the corresponding known system characteristics for the other policy. Then, upper and lower bounds of expected busy periods for both dyadic operating policies are also derived.
Abstract
Using the results of the expected busy periods for the dyadic Min(N, D) and Max(N, D) operating policies in a controllable M/G/1 queueing model, an important relation between them is derived. The derived relation represents the complementary property between two operating policies. This implies that it could be possible to obtained desired system characteristics for one of the two operating policies from the corresponding known system characteristics for the other policy. Then, upper and lower bounds of expected busy periods for both dyadic operating policies are also derived.
참고문헌 (15)
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