• Title/Summary/Keyword: g-operations

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Heuristic Interpretation of the Mean Waiting Time for $Geo^{X}/G/1$ Queues (휴리스틱 방법에 의한 휴가형 $Geo^{X}/G/1$ 대기행렬의 평균대기시간 분석)

  • Kim, Sung-J.;Chae, Kyung-C.
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.1137-1140
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    • 2005
  • We present the discrete-time version of the heuristic interpretation of the mean waiting time known well about the continuous-time version. The heuristic approach is mainly based on an arriving customer's viewpoint. We obtain the mean waiting time of $Geo^X/G/1$ queueing systems, including vacation queues.

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D-정책과 복수휴가를 갖는 MAP/G/1 대기행렬시스템의 고객수분석

  • Jeon, Sang-Hun;Lee, Ho-U
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.874-880
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    • 2005
  • 본 논문에서는 D-정책과 복수휴가를 갖는 MAP/G/1 대기행렬시스템의 고객수를 분석한다. 고객도착은 마코비안 도착과정(MAP)을 따른다. 서어버는 바쁜기간 종료 직후 휴가를 떠나고 휴가에서 돌아온 직후의 시스템 총일량이 D를 초과할 때까지 휴가를 반복한다. 만일, 휴가에서 돌아온 직후의 시스템 총일량이 D를 초과하면, 서어버는 즉시 서비스를 시작한다. 본 논문에서는 임의의 이탈시점 고객수분포를 유도하고, 이를 이용하여 임의시점 고객수분포와 평균고객수를 유도한다. 또한, 동일한 조건하에 D-정책과 복수휴가를 갖는 M/G/1 대기행렬시스템의 평균고객수와의 차이를 비교해 본다.

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An Extension of the Level Crossing Technique (레벨횡단법의 확장에 대한 소고)

  • Chae Kyung-Chul;Yi Xeung-Won
    • Journal of the Korean Operations Research and Management Science Society
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    • v.29 no.3
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    • pp.1-7
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    • 2004
  • We demonstrate in this paper that the level crossing technique can be applied to such a system that not only the state vector is two-dimensional but Its two components are heterogeneous. As an example system, we use the GI-G/c/K queue whose state vector consists of the number of customers in the system and the total unfinished work.

The joint queue length distribution in the nonpreemptive priority M/G/1 queue (비선점 우선순위 M/G/1 대기행렬의 결합 고객수 분포)

  • Kim Gil-Hwan;Chae Gyeong-Cheol
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1104-1110
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    • 2006
  • In this paper we present a simple approach to the joint queue length distribution in the nonpreemptive priority M/G/1 queue. Without using the supplementary variable technique, we derive the joint probability generating function of the stationary queue length at arbitrary time.

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On the Modified Supplementary Variable Technique for the Discrete-Time GI/G/1/K Queue (이산시간 GI/G/1/K 대기행렬에 대한 수정부가변수법)

  • Chae, Kyung-Chul;Lee, Doo-Ho;Kim, Nam-Ki
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.1
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    • pp.107-115
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    • 2008
  • We consider the discrete-time GI/G/1/K queue under the early arrival system. Using a modified supplementary variable technique(SVT), we obtain the distribution of the steady-state queue length. Unlike the conventional SVT, the modified SVT yields transform-free results in such a form that a simple two-moment approximation scheme can be easily established.

Heuristic Interpretation of the Mean Waiting Time of $Geo^X/G/1$ Vacation Queues with Set-up Time (휴리스틱 방법을 이용한 준비기간을 갖는 휴가형 $Geo^X/G/1$ 모형의 평균대기시간 분석)

  • Lee Sung-H.;Kim Sung-J.;Chae Kyung-C.
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1111-1115
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    • 2006
  • We present heuristic interpretations of the mean waiting time of $Geo^X/G/1$ vacation queues with set-up time. The heuristic interpretation of the mean waiting time is originally proposed for the continuous-time queues. We demonstrate that the heuristic approach is useful for the discrete-time queues as well.

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Average Length and Bounds on the Busy Period for a k-out-of-n : G System with Non-identical Components

  • Jung, Kyung-Hee
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.2
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    • pp.123-130
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    • 1992
  • The model of k-out-of n : G repairable system with identical components is extended to a repairable system with n different components. The objective is to analytically derive the mean time of the busy period for a k-out-of-n : G system with unrestricted repair. Then, the lower and upper bounds on the average time of the busy period of the n-component system with restricted repair are also shown.

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frequency Domain processor nor ADSL G.LITE Modem (ADSL G.LITE모뎀을 위한 주파수 영역 프로세서의 설계)

  • 고우석;기준석;고태호;윤대희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.12C
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    • pp.233-239
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    • 2001
  • Among the operations in frequency domain for ADSL G.LITE Modem to perform, FFT and FEQ are most computation-intensive part, of which many researches have been focused on the efficient implementation. Previous papers suggested hardwares suitable for ADSL G.DMT system, which is not feasible for simple G.LITE system. The analysis of frequency domain operations and computational efficiency according to the allocation of hardware resources is performed in this paper. The suggested processor has the structure of one real multiplier and two real adders connected in parallel, which can perform the operations efficiently through the pipeline- and/or parallel-type job scheduling. The suggested processor uses less hardware resources than Kiss\`s ALU structure or FFT/IFFT processor suggested by Wang, so the suggested one is more suitable for G.LITE system than previous works.

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