Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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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

삼변수 Max(N, T, D) 운용방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period 기대값의 상한과 하한 유도

  • Rhee, Hahn-Kyou (Department of Industrial and Management Engineering Hannam University)
  • 이한교 (한남대학교 산업경영공학과)
  • Received : 2011.03.07
  • Accepted : 2011.03.21
  • Published : 2011.03.31
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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.

Keywords

References

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