• Journal of the Korea Society of Computer and Information
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• v.19 no.4
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• pp.91-99
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• 2014

TThis paper suggests an heuristic polynomial time algorithm to solve the optimal solution for QAP (quadratic assignment problem). While Hungarian algorithm is most commonly used for a linear assignment, there is no polynomial time algorithm for the QAP. The proposed algorithm derives a grid type layout among unit distances of a distance matrix. And, we apply max-flow/min-distance approach to assign this grid type layout in such a descending order way that the largest flow is matched to the smallest unit distance from flow matrix. Evidences from implementation results of the proposed algorithm on various numerical grid type QAP examples show that a solution to the QAP could be obtained by a polynomial algorithm.

• Proceedings of the KSR Conference
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• 2007.11a
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• pp.1731-1737
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• 2007

This paper considers subway routing problem. Given a schedule of train to be routed by a railway stock, the routing problem determines a sequence of trains while satisfying turnaround time and maintenance restrictions. Generally, the solution of routing problem is generated from set partition formulation solved by column generation method, a typical integer programming approach for train-set. However, we find the characteristics of metropolitan subway which has a simple rail network, a few end stations and 13 departure-arrival patterns. We reflect a turn-around constraint due to spatial limitations has no existence in conventional railroad. Our objective is to minimize the number of daily train-sets. In this paper, we develop two basic techniques that solve the subway routing problem in a reasonable time. In first stage, we formulate the routing problem as a Min-cost-flow problem. Then, in the second stage, we attempt to normalize the distance covered to each routes and reduce the travel distance using our heuristic approach. Applied to the current daily timetable, we could find the subway routings, which is an approximately 14% improvement on the number of train-sets reducing 15% of maximum traveling distance and 8% of the standard deviation.

• Proceedings of the Korea Water Resources Association Conference
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• 2022.05a
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• pp.185-185
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• 2022

상수도 관망의 운영 단계에서 비정상상황의 발생은 필연적으로 발생하며, 비정상상황 발생 시상수도 관망 내 설치된 제수 밸브의 차폐를 통해 해당 구역의 격리 후 복구를 진행한다. 일반적으로 제수밸브를 통해 격리될 수 있는 최소 구역은 세그먼트로 정의하고, 제수밸브 설치 시 세그먼트의 격리로 인한 상수도 관망의 피해를 줄일 수 있도록 위치를 선정한다. 제수 밸브를 통한 격리 시 상수도 관망의 흐름 경로와 유향, 유속의 변화와 같은 수리적 특성 변화가 불가피하다. 지난 '19년도에 발생했던 3건의 수질 사고가 수리적 특성 변화에서 기인했던 것을 고려할 때, 제수밸브 차폐로 상수도 관망의 부분 격리 시 발생 가능한 수리적 특성 변화에서도 수질 사고가 야기될 가능성이 있다. 기존 제수밸브 위치를 결정한 연구들을 보면, 대부분 제수밸브 위치에 따라 결정된 세그먼트의 격리 시 수압 저감을 고려하여, 격리 시에도 상수도 관망의 성능을 최대한 유지할 수 있도록 결정하는 것이 일반적이다. 다만, 앞서 언급한 것과 같이 격리 시 발생 가능한 수리적 특성 변화로, 수압 저감 외에도 예기치 못한 수질 사고의 발생 원인이 되기도 한다. 이에 따라 제수밸브의 최적위치를 결정할 때 수리적 특성 변화를 고려해야 예지치 못한 2차 피해를 줄일 수 있을 것이다. 이에 본 연구는 그래프이론을 활용하여 격리 전후 관로의 유향 변화를 최소화하도록 제수밸브 최적 위치 결정하는 방법론을 제안한다. 그래프이론은 망의 형태를 가지는 상수도 관망의 연결성을 정량화할 수 있으며, 본 연구에서는 수리학적 거리 인자를 적용하여 격리 시에도 각 수요절점이 최소 경로를 확보할 수 있도록 유도하였다. 해당 방법론은 가상 관망에 적용하여 수리학적 거리 인자에 따른 설계와 기존 상수도 관망 성능 극대화 설계 안을 비교하였다. 또한 수질 사고 위험도 인자를 정의하여 해당 인자에 따른 각 설계 안의 효과를 분석하였다. 본 연구는 향후 수질 사고를 고려한 밸브 시스템의 설계 및 운영에 활용할 수 있을 것으로 기대한다.

• The Korean Journal of Nuclear Medicine Technology
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• v.15 no.2
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• pp.76-82
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• 2011

Purpose: Lymphoscintigraphy is absolutely being used standard examination in lymphatic diagnosis, evaluation after treatment, and it is useful for lymphedema to plan therapy. In case of lymphoscintigraphy of lower-extremity lymphedema, it had an effect on results if patients had not pose same position on the examination of 1 min, 1 hour and 2 hours after injection. So we'll study the methods to improve confidence with minimized quantitative analysis errors by influence factors. Materials and Methods: Being used the Infinia of GE Co. we injected $^{99m}Tc$-phytate 37 MBq (1.0 mCi) 4 sylinges into 40 people's feet hypodermically from June to August 2010 in Samsung Medical Center. After we acquired images of fixed and unfixed condition, we confirmed the count values change by attenuation of soft tissue and bone according to different feet position. And we estimated 5 times increasing 2 cm of distance between $^{99m}Tc$ point source and detector each time to check counts difference according to distance change by different feet position. Finally, we compared 1 and 6 min lymphoscintigraphy images with same position to check the effect of quantitative analysis results owing to difference of amounts of movement of the $^{99m}Tc$-phytate in the lymphatic duct. Results: Percentage difference regarding error values showed minimum 2.7% and maximum 25.8% when comparing fixed and unfixed feet position of lymphoscintigraphy examination at 1 min after injection. And count values according to distance were 173,661 (2 cm), 172,095 (4 cm), 170,996 (6 cm), 167,677 (8 cm), 169,208 counts (10 cm) which distance was increased interval of 2 cm and basal value was mean 176,587 counts, and percentage difference values were not over 2.5% such as 1.27, 1.79, 2.04, 2.42, 2.35%. Also, Assessment results about amounts of movement in lymphatic duct within 6 min until scanning after injection showed minimum 0.15%, and maximum 2.3% which were amounts of movement. We can recognize that error values represent over 20% due to only attenuation of soft tissue and bone except for distance difference (2.42%) and amounts of movement in lymphatic duct (2.3%). Conclusion: It was show that if same patients posed different feet position on the examination of 1 min, 1 hour and 2 hours after injection in the lymphoscintigraphy which is evaluating lymphatic flow of patients with lymphedema and analyzing amount of intake by lymphatic system, maximum error value represented 25.8% due to attenuation of soft tissue and bone, and PASW (Predictive Analytics Software) showed that fixed and unfixed feet position was different each other. And difference of distance between detector and feet and change of count values by difference of examination beginning time after injection influence on quantitative analysis results partially. Therefore, we'll make an effort to fix feet position and make the most of fixing board in lymphoscintigraphy with quantitative analysis.

• Journal of the Korean Society of Hazard Mitigation
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• v.6 no.1 s.20
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• pp.59-68
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• 2006

Flow separation of recirculation zone by increasing of flow and change of its direction at confluence results in backwater due to conveyance reduction. The hydraulic characteristics of flow separation are analysed by experimental results of flow ratios of tributary and main streams and approaching angles. The boundary of flow separation by dimensionless length and width is defined by the streamline of zero and this definition agrees well to the existing investigation. Because flow separation doesn't appear in small flow ratio and approaching angle of $30^{\circ}$, the equation of flow separation with flow ratio and approaching angle is provided. In flow separation consideration and comparing with previous results, the existing equations of dimensionless length and width ratios by function of approaching angle, flow ratio, and downstream Froude number are modified and also contraction coefficient and shape factor are analysed. Dimensionless length and width ratios are proportional to the flow ratio and approaching angle. In analysis of water surface profiles, the backwater effects are proportional to the flow ratio and approaching angle and the magnitude at outside wall is greater than that of inside wall of main stream. The length, $X_l$ from the beginning of confluence to downstream of uniform flow, where the depth is equal to uniform depth, is characterized by width of stream, flow ratio, approaching angle, and contraction coefficient. The ratios between maximum water depth by backwater and minimum depth at separation are analysed.