• Bulletin of the Korean Mathematical Society
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• v.54 no.6
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• pp.2149-2154
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• 2017

In this paper, we obtain a simple lower bound for the number of positive (resp. negative) crossings in oriented link diagrams in terms of the maximal (resp. minimal) degree of the Jones polynomial.

• International Journal of Highway Engineering
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• v.10 no.4
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• pp.1-8
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• 2008

Seoul metropolitan government has introduced Bus Rapid Transit (BRT) systems in some major urban corridors on July 1st, 2004, and has reported that it was successful on the ground that bus speed has been increased in the corridors with BRT system and that it has also resulted in the increase of bus patrons. However, there comes a negative claim that BRT has increased the number of fatalities in the same corridors. This study first aims at developing safety evaluation indicators of pedestrian crossings, then compares values of those indicators from pedestrian crossings with and without BRT systems. The safety evaluation indicators of pedestrian crossing are developed as: the number (or ratio) of conflicts between pedestrians and vehicles, the number (or ratio) of vehicles violating pedestrian signals, the number (or ratio) of pedestrians remaining crossings at red signals, and the number (ratio) of pedestrians walking beyond crossing areas. When we compare values of these indicators for both pedestrian crossings with and without BRT system, it has turned out that crossings with BRT systems has more number of conflicts than the crossings without BRT systems, but it cannot be said that the ratio of conflicts will be different between two crossing types. It means that the number of conflict will increase as the number of pedestrians and vehicles in the crossings. When we note that BRT system intrinsically attract more number of pedestrians who get-in or get-off bus stops, we cannot said that BRT system will be safer for pedestrians.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.4
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• pp.349-356
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• 2006

The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation ${\biguplus}$, called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between ($S_d,\;{\biguplus}$) to (N, +), where $S_d$ is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.

• International Journal of Highway Engineering
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• v.17 no.3
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• pp.107-115
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• 2015

PURPOSES : The purposes of this study are to compare the day and night characteristics and to develop the models of traffic accidents. in Rural Signalized Intersections METHODS : To develop day and night traffic accident models using the Negative Binomial Model, which was constructed for 156 signalized intersections of rural areas, through field investigations and casualty data from the National Police Agency. RESULTS : Among a total of 17 variances, the daytime traffic accident estimate models identified a total of 9 influence factors of traffic accidents. In the case of nighttime traffic accident models, 11 influence factors of traffic accidents were identified. CONCLUSIONS : By comparing the two models, it was determined that the number of main roads was an independent factor for daytime accidents. For nighttime accidents, several factors were independently involved, including the number of entrances to sub-roads, whether left turn lanes existed in major roads, the distances of pedestrian crossings to main roads and sub-roads, lighting facilities, and others. It was apparent that if the same situation arises, the probability of an accident occurring at night is higher than during the day because the speed of travel through intersections in rural areas is somewhat higher at night than during the day.

• Journal of the Korean Society of Safety
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• v.25 no.3
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• pp.131-136
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• 2010

This study deals with the accident models of arterial link sections by vehicle type. The objectives are to analyze the characteristics of accidents, and to develop the models by type. In pursuing the above, this study uses the data of 414 accidents occurred on 24 major arterial links in 2007. The main results analyzed are as follows. First, the number of accidents is analyzed to account for about 47% in passenger car, 15% in SUV and 10% in trucks. Second, 3 Poisson regression models which are all statistically significant are developed using passenger car, SUV and truck as dependant variables. Finally, AADT and the number of traffic islands as common variables, and the number of pedestrian crossings, lanes, connecting roads, intersections(4-Leg), rate of medians and the number of bus stops as specific variables of the models are selected.

• International Journal of Highway Engineering
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• v.13 no.3
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• pp.103-110
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• 2011

This study deals with the traffic accidents by type. The objectives are to analyze the characteristics of 2 accident types, and to develop the models by type. In pursuing the above, this paper gives particular attentions to testing the differences between by type two groups, and developing the models (Poisson and negative binomial regressions) using the data of domestic circular intersections. The main results are as follows. First, the number of accidents in vehicle vehicle was analyzed to account for about 73.41% of total and to be higher than vehicle people. Second, two Poisson models and two negative binomial models which were all statistically significant were developed using vehicle people accidents and vehicle vehicle accidents as dependant variables. Finally, the traffic volume as common variable was selected in the models, and right-turn slip lane, speed hump, the number of driveways, the number of pedestrian crossings as specific variables of the models were selected.