• Journal of KIISE:Databases
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• v.31 no.3
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• pp.252-260
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• 2004

Recently, the TPR-tree has been proposed to support spatio-temporal queries for moving objects. Subsequently, various methods using the TPR-tree have been intensively studied. However, although the TPR-tree is one of the most popular access methods in spatio-temporal databases, any cost model for the TPR-tree has not yet been proposed. Existing cost models for the spatial index such as the R-tree do not accurately ostinato the number of disk accesses for spatio-temporal queries using the TPR-tree, because they do not consider the future locations of moving objects. In this paper, we propose a cost model of the TPR-tree for moving objects for the first time. Extensive experimental results show that our proposed method accurately estimates the number of disk accesses over various spatio-temporal queries.

• Journal of the Korea Institute of Military Science and Technology
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• v.22 no.2
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• pp.266-277
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• 2019

In modern warfare, securing time for preemptive response is recognized as an important factor of victory. The naval combat system, the core of naval forces, also strives to increase the effectiveness of engagement by improving its real-time information processing capabilities. As part of that, it is considered to use the TPR-tree in the naval combat system's target indexing because spatio-temporal searches can be performed quickly even as the number of target information increases. However, because the TPR-tree is slow to process updates, there is a limitation to handling frequent updates. In this paper, we present a method for improving the update performance of TPR-tree by applying the bottom-up update scheme, previously proposed for R-tree, to the TPR-tree. In particular, we analyze the causes of overlaps occurring when applying the bottom-up updates and propose ways to limit the MBR expansion to solve it. Our experimental results show that the proposed technique improves the update performance of TPR-tree from 3.5 times to 12 times while maintaining search performance.

• International Journal of Internet, Broadcasting and Communication
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• v.14 no.1
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• pp.95-104
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• 2022

A TPR-tree is a well-known indexing structure that is developed to answer queries about the current or future time locations of moving objects. For the purpose of space efficiency, the TPR-tree employs the notion of VBR (velocity bounding rectangle)so that a regionalrectangle presents varying positions of a group of moving objects. Since the rectangle computed from a VBR always encloses the possible maximum range of an indexed object group, a search process only has to follow VBR-based rectangles overlapped with a given query range, while searching toward candidate leaf nodes. Although the TPR-tree index shows up its space efficiency, it easily suffers from the problem of dead space that results from fast and constant expansions of VBR-based rectangles. Against this, the TPR-tree index is enforced to update leaf nodes for reducing dead spaces within them. Such an update-prone feature of the TPR-tree becomes more problematic when the tree is saved in flash storage. This is because flash storage has very expensive update costs. To solve this problem, we propose a new Bloom filter based caching scheme that is useful for reducing updates in a flash TPR-tree. Since the proposed scheme can efficiently control the frequency of updates on a leaf node, it can offer good performance for indexing moving objects in modern flash storage.

• Journal of Korea Spatial Information System Society
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• v.8 no.1 s.16
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• pp.17-25
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• 2006

TPR*-tree is the most widely-used index structure for effectively predicting the future positions of moving objects. The TPR*-tree, however, has the problem that both of the dead space in a bounding region and the overlap among hounding legions become larger as the prediction time in the future gets farther. This makes more nodes within the TPR*-tree accessed in query processing time, which incurs the performance degradation. In this paper, we examine the performance problem quantitatively with a series of experiments. First, we show how the performance deteriorates as a prediction time gets farther, and also show how the updates of positions of moving objects alleviates this problem. Our contribution would help provide Important clues to devise strategies improving the performance of TPR*-trees further.

• Journal of the Korea Society of Computer and Information
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• v.15 no.5
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• pp.23-31
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• 2010

With the advances in the information technology and mobile communications, we now face increasing demands for various services based on both of position tracking of moving objects and their efficient index scheme. Accordingly, the $TPR^*$-tree, which were proposed for efficiently tracking moving objects and predicting their positions in the future time, has drawn much intention. As the $TPR^*$-tree came from the R-tree that is suitable for indexing static objects, it does not support cheap update costs. Therefore, it seems to be very costly to index moving objects if there are frequent occurrences of node updates caused by continuously changing velocities and positions. If some moving objects with high velocities have node updates, in particular, then the $TPR^*$-tree may suffer from many unnecessary updates in the wide range of tree regions. To avoid such a problem, we propose a method that can keep fast-moving objects in the child nodes of the root node, thereby saving node update costs in the $TPR^*$-tree. To show our performance advantages and retaining $TPR^*$-tree features, we performed some performance experiments using a simulation technique.

• Proceedings of the Korean Information Science Society Conference
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• 2003.10b
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• pp.43-45
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• 2003

Nowadays, with numerous emerging applications (e.g., traffic control, meteorology monitoring, mobile computing, etc.), access methods to process current and future queries for moving objects are becoming increasingly important. Among these methods, the time-parameterized R-tree (TPR-tree) seems likely the most flexible method in one, two, or three-dimensional space. A key point of TPR-tree is that the (conservative) bounding rectangles are expressed by functions of time. In this paper, we propose a new method, which takes into account positions of its moving objects against the rectangle's bounds. In proposed method, the size of bounding rectangle is significantly smaller than the traditional bounding rectangle in many cases. By this approach, we believe that the TPR-tree can improve query performance considerably.

• Journal of Korea Spatial Information System Society
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• v.6 no.2 s.12
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• pp.3-13
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• 2004

The TPR-tree exploits bounding rectangles based on the function of time in order to index moving objects. As time passes on, each edge of a BR expands with the fastest velocity vector. Since the expansion of the BR results in a serious overlaps between neighboring nodes, the performance of range query is getting worse. In this paper, we propose schemes to reorganize bounding rectangles of nodes. When inserting a moving object, we exploit a forced merging scheme to merge two overlapped nodes and re-split it. When deleting a moving object, we used forced reinsertion schemes to reinsert other objects of a node into a tree. The forced reinsertion schemes are classified into a deleted node reinsertion scheme and an overlapped nodes reinsertion scheme. The overlapped nodes reinsertion scheme outperforms the forced merging scheme and the deleted node reinsertion scheme in all experiments.

• 한국공간정보시스템학회:학술대회논문집
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• 2003.11a
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• pp.147-152
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• 2003

TPR-tree는 이동체의 위치 데이터에 대해 현재 및 미래 위치 질의를 지원하기 위하여 시간 함수 기반의 경계사각형(Sounding Rectangle)으로 이동체를 색인한다. 경계사각형의 각 축은 가장 빠른 속도로 이동하는 이동체의 속도 값을 이용하여 시간에 따라 확장한다. 경계사각형 영역의 확장으로 중복(overlap)이 심화되고 사장영역(dead space)이 커지는 문제가 있다. 따라서 시간이 지날수록 영역질의 시 성능이 떨어진다. 이 논문에서는 시간이 지남에 따라 발생하는 노드간의 심한 중복과 사장영역을 줄이기 위해 중복이 심한 두 개의 단말노드를 강제 합병하고 재분할하는 강제 합병 정책과 이동체의 삭제가 발생한 노드의 모든 이동체들을 강제적으로 재삽입하는 삭제노드 강제 재삽입 정책과 삭제가 발생한 노드와 중복되는 노드들의 이동체들을 강제적으로 재삽입하는 중복 노드 강제 재삽입 정책을 이용한다. 강제 합병 정책과 삭제 노드 강제 재삽입 정책, 그리고 중복 노드 강제 재삽입은 TPR-tree의 구조를 점진적으로 재구성하기 때문에 이동체의 현재 분포를 고려하여 색인 구조를 동적으로 개선하는 장점을 가진다.

• The KIPS Transactions:PartD
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• v.15D no.4
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• pp.451-462
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• 2008

Recently, with the advent of applications using locations of moving objects, it becomes crucial to develop efficient index schemes for spatio-temporal databases. The $TPR^*$-tree is most popularly accepted as an index structure for processing future-time queries. In the $TPR^*$-tree, the future locations of moving objects are predicted based on the CBR(Conservative Bounding Rectangle). Since the areas predicted from CBRs tend to grow rapidly over time, CBRs thus enlarged lead to serious performance degradation in query processing. Against the problem, we propose a new method to adjust CBRs to be tight, thereby improving the performance of query processing. Our method examines whether the adjustment of a CBR is necessary when accessing a leaf node for processing a user query. Thus, it does not incur extra disk I/Os in this examination. Also, in order to make a correct decision, we devise a cost model that considers both the I/O overhead for the CBR adjustment and the performance gain in the future-time owing to the CBR adjustment. With the cost model, we can prevent unusual expansions of BRs even when updates on nodes are infrequent and also avoid unnecessary execution of the CBR adjustment. For performance evaluation, we conducted a variety of experiments. The results show that our method improves the performance of the original $TPR^*$-tree significantly.

• Proceedings of the Korean Information Science Society Conference
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• 2004.04b
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• pp.100-102
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• 2004

속도와 방향이 바뀔 때마다 이동체의 위치를 보고하는 TPR-tree는 이동체의 위치를 예측하는 오차가 적다. 그러나 긴 시간 간격으로 이동체의 위치를 보고하면 위치 예측의 불확실성이 높아져서 위치 예측의 오차값이 증가한다. 불화실성이 높은 이동체를 TPR-tree에 적용할 때 이동체의 위치 정보를 갱신하기 위한 색인 검색 비용이 증가하고, 질의 결과의 정확도가 낮아지는 문제가 발생한다. 이 논문에서는 긴 시간 간격으로 이동체 위치를 보고할 때 발생하는 이동체 위치의 불확실성을 고려하기 위해서 불확실성 영역(uncertainty region)을 이용한 확장 TPR-tree를 제시한다. 불확실성이 높은 이동체의 위치 데이터를 처리하기 위해서 이동체의 이동 가능한 영역을 위치 예측의 오차 값을 이용하여 계산한 불확실성 영역을 설정하고, 검색을 위하여 노드외 BR을 계산할 때 불확실성 영역을 이용하여 BR을 확장한다.