• Title/Summary/Keyword: unfinished work

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Analysis of Unfinished Work and Queue Waiting Time for the M/G/1 Queue with D-policy

  • Park, Yon-Il;Chae, Kyung-Chul
    • Journal of the Korean Statistical Society
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    • v.28 no.4
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    • pp.523-533
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    • 1999
  • We consider the M/G/1 queueing model with D-policy. The server is turned off at the end of each busy period and is activated again only when the sum of the service times of all waiting customers exceeds a fixed value D. We obtain the distribution of unfinished work and show that the unfinished work decomposes into two random variables, one of which is the unfinished work of ordinary M/G/1 queue. We also derive the distribution of queue waiting time.

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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 Unfinished Work Transition Probability Distribution of Modulated $n^*$D/D/1 Queue (확률적 $n^*$D/D/1 대기모형의 부하량 전이 확률 분포)

  • Lee, Sang-Cheon;Hong, Jung-Wan
    • IE interfaces
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    • v.13 no.4
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    • pp.738-744
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    • 2000
  • This Paper presents a method for unfinished work transition probability distribution of modulated $n^*D/D/l$ queue with overload period. The Modulated $n^*D/D/l$ queue is well known as a performance analysis model of ATM multiplexer with superposition of homogeneous periodic on-off traffic sources. Theory of probability by conditioning and results of $N^*D/D/l$ queue are used for analytic methodology. The results from this paper are expected to be applied to general modulated $n^*D/D/l$ queue.

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SOME WAITING TIME AND BOTTLENECK ANALYSIS

  • Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.531-537
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    • 2010
  • In this paper, some vacation policies are considered, which can be related to the past behavior of the system. The server, after serving all customers, stays idle or to wait for some time before a vacation is taken. General formulas for the waiting time and the amount of work in the system are derived for a vacation policy. Using the analysis on the vacation system, we derived the waiting time in the sequential bottleneck station.

컨베이어 벨트를 이용한 혼합 모델 조립 라인에서의 미완료 작업량을 최소화하기 위한 제품 투입 순서 결정

  • 김시원;정봉주
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.10a
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    • pp.157-160
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    • 2000
  • This study is concerned with how to optimize the Input sequence of product models with sequence -dependent setup time in Mixed-Model Assembly Line (MMAL) using conveyor system. Usually MMAL consists of a number of stations linked by conveyor belt and each station has a work zone limited by upstream and downstream boundaries. To avoid improper interference between operators in the adjacent stations and excess of machine moving range, operators are forced to complete their operations within their predetermined work zone. In this study, our goal is to determine sequence of models for minimizing the total work unfinished within their work zone. A generalized formulation of the product sequencing problem in MMAL is presented and we developed an optimal procedure using Branch & Bound. Also we developed a heuristic procedure using local search.

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A SIMPLE APPROACH TO THE WORKLOAD ANALYSIS OF M/G/1 VACATION QUEUES

  • Kim, Nam-Ki;Park, Yon-Il;Chae, Kyung-Chul
    • Journal of the Korean Statistical Society
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    • v.33 no.2
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    • pp.159-167
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    • 2004
  • We present a simple approach to finding the stationary workload of M/G/1 queues having generalized vacations and exhaustive service discipline. The approach is based on the level crossing technique. According to the approach, all that we need is the workload at the beginning of a busy period. An example system to which we apply the approach is the M/G/1 queue with both multiple vacations and D-policy.

Production Scheduling for a Flexible Manufacturing Cell

  • 최정상
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.03a
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    • pp.209-213
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    • 1998
  • This study considers flowshop scheduling problem related to flexible maufacturing cell in which consists of two machining centers, robots for loading/unloading, and an automated guided vehicle(AGV) for material handling between two machining centers. Because no machinng center has buffer storage for work in process, a machining center can not release a finished job until the empty AGV is available at that machining center. While the AGV cannot tranfer an unfinished job to a machining center until the machining center empty. In this paper, an new heuristic algorithm is given to find the sequence that minimize their makespan.

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Resource management for moldable parallel tasks supporting slot time in the Cloud

  • Li, Jianmin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.9
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    • pp.4349-4371
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    • 2019
  • Moldable parallel tasks are widely used in different areas, such as weather forecast, biocomputing, mechanical calculation, and so on. Considering the deadline and the speedup, scheduling moldable parallel tasks becomes a difficulty. Past work majorly focuses on the LA (List Algorithms) or OMA (Optimizing the Middle Algorithms). Different from prior work, our work normalizes execution time and makes all tasks have the same scope in normalized execution time: [0,1], and then according to the normalized execution time, a method is used to search for the reference execution time without considering the deadline of tasks. According to the reference execution time, we get an initial scheduling result based on AFCFS (Adaptive First Comes First Served) policy. Finally, a heuristic approach is used to improve the performance of the initial scheduling result. We call our method HSRET (a Heuristic Scheduling method based on Reference Execution Time). Comparisons to other methods show that HSRET has good performance in AWT (Average Waiting Time), AET (Average Execution Time), and PUT (Percentages of Unfinished Tasks).

Hamlet and M. Vrubel' - Russian hamletism and Vrubel's (햄릿과 브루벨 - '러시아 햄릿주의'와 브루벨의 <햄릿과 오필리어> 연구)

  • Ahn, Ji-Young
    • Cross-Cultural Studies
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    • v.27
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    • pp.225-253
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    • 2012
  • Mikhail Vrubel' has written three Hamlet paintings in his extraordinary tragic lifetime. The first watercolor painting , which he has written in 1883, remained unfinished. He could not complete the second version of , which he painted in oil in the next year, neither. Finally, he has completed the third version of in 1888. As is generally known, is not widely known Vrubel's work. This work is mainly mentioned from the point of view that it is the first literary hero whom Vrubel' has created in his literatureoriented art world, and it is a presage of the Demon, Vrubel's central hero's advent. In this paper, we analyzed Vrubel's three from a different angle, nothing but from the angle of Russian Hamletism. For this, in the second chapter, we've researched Vrubel's main artistic credo. In the next chapter, we've analyzed Vrubel's three in detail from the view of Russian Hamletism.