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@/ �#� ��6£§õ� °ú s� &ñ_�ô�Ç��.
Ça��+ 3. ��ÃÌ r�y��(Arrival Time)
AT (Ei)��H s��$�àÔ Ei_� ��ÃÌ r�y��s���. ��ÃÌ r�y���Ér s��$�àÔ�� G'p"f W1àÔ0>
ß¼\�¦ :�x �#� G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç r�y��s���.
Ça��+ 4. þj@/ ���²ú� t����(Maximum Propagation Delay)
���²ú� t���� PD(Ei)��H s��$�àÔ Ei_� ��ÃÌ r�y��õ� µ1ÏÒqt r�y��_� �s�s���. þj
@/ ���²ú� t���� MPD��H PD(Ei)_� þjÎ.°úכs���.
PD(Ei) = AT (Ei)− ST (Ei) , MPD = MAX(PD(Ei))
s��$�àÔ_� ��ÃÌ í�H"f��H G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç s��$�
àÔ_� ��ÃÌ r�y��\� _�K� ���&ñ�)a��. ¢ô�Ç, µ1ÏÒqtô�Ç s��$�àÔ��H ���²ú� t����\� _�K�
��ÃÌ r�y��s� ���&ñ�)a��.
µ1ÏÒqtô�Ç s��$�àÔ��H Áº��� W1àÔ0>ß¼_� YO�w� f. ~½Ód��ܼ�Ð G'p"f X<s�'� %�o�
r�Û¼%7�\� ���²ú��)a��. ����"f, ���²ú� t�����Ér Áº��� W1àÔ0>ß¼_� 0A�©� ½� ����o
16
\� _�K� µ1ÏÒqtô�Ç��. �:r ���½\�"f��H s��$�àÔ_� ���²ú� 8��â\� @/ �#� ��6£§õ� °ú
s� ��&ñô�Ç��.
��Ça� 1. G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7��Ér µ1ÏÒqt r�y��õ� ��ÃÌ r�y��_� �s�
�� þj@/ ���²ú� t���� s�?/��� s��$�àÔ\�¦ ���²ú�~ÃÎ>� �)a��.
3.1.3 l���dçà �¿½ÇÐ ».É¿R�
G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7��Ér z� [j>�_� ����o\� _� �#� \V8£¤ Ô�¦��0px
ô�Ç �ª�_� s��$�àÔ\�¦ ���²ú�~ÃÎ>� �)a��. ¢ô�Ç, G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\�
��ÃÌô�Ç þj��H_� s��$�àÔ[þt�Ér r�Û¼%7�\�"f �<Êa� %�o�÷&#Q�� ô�Ç��. �:r ���½\�"f
��H G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç þj��H_� s��$�àÔ[þt\� @/ô�Ç 1lx
r�çß�@/ %�o�\� %ò�¾Ó�¦ p�u���H �\���¹כ @/ �#� ��6£§õ� °ú s� &ñ_�ô�Ç��.
Ça��+ 5. ��ÃÌ çß����(Arrival Rate)
AR��H ���5Åq&h�ܼ�Ð ��ÃÌô�Ç s��$�àÔ Eiü< Ei+1_� ��ÃÌ r�y�� �s�s���.
AR = AT (Ei+1)−AT (Ei)
�:r ���½\�"f��H s��$�àÔ_� ��ÃÌ 8��â\� @/K�"f ��6£§õ� °ú s� ��&ñô�Ç��.
��Ça� 2. G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7��Ér ��ÃÌ çß���� ÅÒl��Ð s��$�àÔ\�¦ ���
²ú�~ÃÎ>� �)a��.
3.1.4 L±Ó�»jø� �¿½ÇÐ�+ ®�N�
G'p"fÛ¼àÔaË>X<s�'�%�o�r�Û¼%7��Érs��$�àÔ_�z�]jµ1ÏÒqtí�H"fü<��H��ØÔ>�s�
�$�àÔ\�¦ ���²ú�~ÃÎ>� �)a��. �:r ���½\�"f��H s��$�àÔ_� µ1ÏÒqt í�H"fü< ��ÃÌ í�H"f_�
�'a>�\� ���� ��6£§õ� °ú s� &ñ_�ô�Ç��.
Ça��+ 6. ��� µ1ÏÒqt ��� ��ÃÌ
G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ���5Åq&h�ܼ�Ð ��ÃÌô�Ç s��$�àÔ Ei,Ei+1\�
17
@/ �#� ���$� µ1ÏÒqtô�Ç s��$�àÔ�� ���$� ��ÃÌ ô�Ç �âĺ\�¦ �����·p��.
ST (Ei) < ST (Ei+1), AT (Ei) < AT (Ei+1)
ÕªaË> 2��H ��� µ1ÏÒqt ��� ��ÃÌ_� \V\�¦ �Ð#�ÅÒ�¦ e����.
도착 간격도착 시각 = 발생 시각의 최댓값발생 시각의 최솟값최대 전달 지연
이벤트 Ei 발생 시각이벤트 Ei+1 발생 시각이벤트 Ei 발생 구간이벤트 Ei+1 발생 구간t t+a
최대 전달 지연
ÕªaË> 2: ��� µ1ÏÒqt ��� ��ÃÌ_� \V
Ça��+ 7. ��� µ1ÏÒqt Êê ��ÃÌ
G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ���5Åq&h�ܼ�Ð ��ÃÌô�Ç s��$�àÔ Ei,Ei+1\�
@/ �#� ���$� µ1ÏÒqtô�Ç s��$�àÔ�� 0py>� ��ÃÌô�Ç �âĺ\�¦ �����·p��.
ST (Ei) > ST (Ei+1), AT (Ei) < AT (Ei+1)
Ça��+ 8. Êê µ1ÏÒqt ��� ��ÃÌ
G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ���5Åq&h�ܼ�Ð ��ÃÌô�Ç s��$�àÔ Ei,Ei+1\�
18
@/ �#� 0py>� µ1ÏÒqtô�Ç s��$�àÔ�� ���$� ��ÃÌ ô�Ç �âĺ\�¦ �����·p��.
ST (Ei) > ST (Ei+1), AT (Ei) < AT (Ei+1)
ÕªaË> 3��H ��� µ1ÏÒqt Êê ��ÃÌõ� Êê µ1ÏÒqt ��� ��ÃÌ_� \V\�¦ �Ð#�ÅÒ�¦ e����.
도착 간격도착 시각 = 발생 시각의 최댓값발생 시각의 최솟값최대 전달 지연
이벤트 Ei 발생 시각이벤트 Ei+1 발생 시각이벤트 Ei 발생 구간이벤트 Ei+1 발생 구간t t+a
최대 전달 지연
ÕªaË> 3: ��� µ1ÏÒqt Êê ��ÃÌ(Êê µ1ÏÒqt ��� ��ÃÌ)_� \V
�:r ���½\�"f��H s��$�àÔ_� µ1ÏÒqt í�H"fü< ��ÃÌ í�H"f_� �'a>�\�¦ �¦�9 �#�, G'p
"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y�� J�����¦ ��6£§
õ� °ú s� &ñ_�ô�Ç��.
• µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©����$� µ1ÏÒqtô�Ç s��$�àÔ�� G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ���$� ��ÃÌ
ô�Ç��. s��$�àÔ_� ��ÃÌ í�H"f��H s��$�àÔ_� µ1ÏÒqt í�H"fü< °ú ��.
• µ1ÏÒqtõ� ��ÃÌ_� %i���� �&³�©����$� µ1ÏÒqtô�Ç s��$�àÔ�� G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� 0py>� ��ÃÌ
19
ô�Ç��. ¢ô�Ç, 0py>� µ1ÏÒqtô�Ç s��$�àÔ�� G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\�
���$� ��ÃÌô�Ç��. s��$�àÔ_� ��ÃÌ í�H"f��H s��$�àÔ_� µ1ÏÒqt í�H"fü< %i�����)a
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r�y�� J�����¦ �Ð#�ÅÒ�¦ e����.
³ð 1: µ1ÏÒqt í�H"fü< ��ÃÌ í�H"f_� �'a>�\� ���Ér s��$�àÔ_� µ1ÏÒqt r�y�� J����
µ1ÏÒqt í�H"fü< ��ÃÌ í�H"f_� �'a>� s��$�àÔ_� µ1ÏÒqt r�y�� J����
��� µ1ÏÒqt ��� ��ÃÌ µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�
��� µ1ÏÒqt Êê ��ÃÌ, Êê µ1ÏÒqt ��� ��ÃÌ µ1ÏÒqtõ� ��ÃÌ_� %i���� �&³�©�
G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7��Ér s��$�àÔ_� ��ÃÌ í�H"f\�¦ l�ìøÍܼ�Ð |9�
_�\�¦ %�o� �l� M:ë�H\�, |9�_� ���õ���H s��$�àÔ_� µ1ÏÒqt r�y�� J����\� ���� ²ú���
�����. Õª�QÙ¼�Ð µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�õ� %i���� �&³�©�_� µ1ÏÒqt ��0px$í�¦ ���½Ó
ܼ�Ð, s��$�àÔ_� µ1ÏÒqt r�y�� J����s� |9�_� ���õ�\� p�u���H %ò�¾Ó�¦ \V�©�½+É Ãº e��
��. ³ð 2��H 3.1.2]X�õ� 3.1.3]X�\�"f &ñ_�ô�Ç s��$�àÔ ��ÃÌ í�H"fü< ��ÃÌ 8��â\�
%ò�¾Ó�¦ p�u���H �_þt]���¹כ �'a>�\� ���Ér ¿º ��t� �&³�©�_� µ1ÏÒqt ��0px$í�¦ �Ð#�
ÅÒ�¦ e����.
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�'a>� ��ÃÌ çß����<þj@/ ���²ú� t���� ��ÃÌ çß����≥þj@/ ���²ú� t����×�æo? ½çß� �>rF� q� �>rF�
µ1ÏÒqtõ� ��ÃÌ_�
í�H �&³�©�
µ1ÏÒqt ��0px µ1ÏÒqt
µ1ÏÒqtõ� ��ÃÌ_�
%i���� �&³�©�
µ1ÏÒqt ��0px µ1ÏÒqt Ô�¦��0px
µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�õ� %i���� �&³�©�_� µ1ÏÒqt ��0px$í�Ér þj@/ ���²ú� t����õ�
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20
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ú e��l� M:ë�Hs���. ÕªaË> 4_� a)��H þj@/ ���²ú� t����õ� ��ÃÌ çß����_� �'a>�\� ��
�Ér ×�æo? ½çß� �>rF�_� \V\�¦ b)��H q� �>rF�_� \V\�¦ �Ð#�ÅÒ�¦ e����.
최대 전달 지연
최대 전달 지연도착 간격
도착 간격a) 최대 전달 지연 > 도착 간격
b) 최대 전달 지연 < 도착 간격
이벤트 Ei 발생 구간이벤트 Ei+1 발생 구간
도착 시각 = 발생 시각의 최댓값발생 시각의 최솟값
중첩최대 전달 지연
최대 전달 지연이벤트 Ei 발생 구간이벤트 Ei+1 발생 구간
t t+a
t t+a
ÕªaË> 4: þj@/ ���²ú� t����õ� ��ÃÌ çß���� �'a>�\� ���Ér ×�æo? ½çß� µ1ÏÒqt \V
21
3.2 ê�>ø� ®�N� ���+
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3.2.1 ��£� �� Ça��+ ĪÓÏ�
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22
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�|��¦ �¿º ìøÍ%òô�Ç ½©gË:[þt_� |9�½+Ës���.
Ça��+ 10. r�çß�&h� ���'��$í
"é¶��� s��$�àÔ Ei _� µ1ÏÒqt r�y���Ér ���õ� s��$�àÔ Ej_� µ1ÏÒqt r�y���Ð�� ·ú¡�����.
ST (Ei) < ST (Ej) , i6=j
Ça��+ 11. 1lx r�çß�$í
"é¶��� s��$�àÔ Ei ü< ���õ� s��$�àÔ Ej_� µ1ÏÒqt r�y��_� �s���H 1lx r�çß�$í e��>�
°úכ α s�?/s���.
ST (Ej) − ST (Ei) ≤ α ( α > 0)
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23
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µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�õ� %i���� �&³�©��Ér G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\�
��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y�� J�����¦ [O�"îô�Ç��. ¢ô�Ç, s��$�àÔ_� µ1ÏÒqt r�y�� J�
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$í e��>�°ú�כ¦ ëß�7ᤠ���H s��$�àÔ[þt ×�æ\�"f ]X�ìøÍs� !Q(�\� �>rF�ô�Ç��.
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ÕªaË> 5: µ1ÏÒqtõ� ��ÃÌ_� %i���� �&³�©�
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s� �¿º !Q(�\� �>rF�ô�Ç��.
24
15 14 12 11 10 8 5 3도착 순서 8 7 6 5 4 3 2 1질의 수행 15 14 12 11 10 8 5 3버퍼 크기 : 4동 시간성 임계값 : 5질의 결과 : (10,15),(11,15),(12,15),(14,15)버퍼 공간이벤트 발생 시각
ÕªaË> 6: µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�
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_� µ1ÏÒqt\� ���Ér !Q(�_� µ1ÏÒqt r�y�� J�����¦ �Ð�����. �:r ���½\�"f��H !Q(�_� µ1Ï
Òqt r�y�� J�����¦ [O�"î ��¦�� !Q(�_� r�çß� ½çß�õ� r�çß� ���5Åq$í�¦ ��6£§õ� °ú
s� &ñ_�ô�Ç��.
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!Q(�\� $��©��)a s��$�àÔ[þt_� µ1ÏÒqt r�y��_� þj5Åw°úכõ� þjÎ.°úכ_� #3�0As���.
Ça��+ 13. !Q(�_� r�çß� ���5Åq$í
µ1ÏÒqt r�y��s� !Q(�_� r�çß� ½çß�\� �í�<Ê÷&��H s��$�àÔ��H ìøÍ×¼r� !Q(�\� �>rF�ô�Ç
��.
µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�s� t�5Åq&h�ܼ�Ð Ä»t�÷&��H �âĺ\���H !Q(�_� r�çß�
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(�_�r�çß����5Åq$í�Ér$íwn�÷&t�·ú§��H��.!Q(�_�r�çß����5Åq$ís�$íwn�÷&��H�âĺ
_� :£¤fç�Ér ��6£§õ� °ú s� .��a(����¹כ
25
• !Q(�\�$��©�÷&��Hs��$�àÔ_�µ1ÏÒqtr�y���Ér!Q(�\�$��©��)as��$�àÔ[þt_�µ1ÏÒqt r�y�� þjÎ.°úכ�Ð�� ß¼��.
• s��$�àÔ_� ��ÃÌ í�H"f��H µ1ÏÒqt í�H"fs���.
• ��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y��õ� 1lx r�çß�$í e��>�°úכ_� �s��� !Q(�_� r�çß� ½çß�\� �í�<Ê|c M:, 1lx r�çß�$í e��>�°ú�כ¦ ëß�7ᤠ���H s��$�àÔ��H &h�#Q�
��� s��©� �>rF�ô�Ç��.
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�âĺ\� �<Êa� %�o��)a��.
26
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G'p"f Û¼àÔaË> X<s�'�%7�\�"f ���õ� �'a>� |9�_� %�o���H z�r�çß� s�?/\� ¢-a«Ñ
÷&#Q�� ô�Ç��. ����"f, �:r ���½\�"f��H ½�&h���� z�r�çß� %�o�_� ]j��� ���½Ó�¦
��6£§õ� °ú s� ]jîß�ô�Ç��. #�l�"f, z�r�çß� %�o�_� ]j��� #3�0A��H s��$�àÔ_� Òqt$í
ÂÒ'� |9�_� %�o� ¢-a«Ñ��t�s���.
��k�ë5Ñ %�h� V�»ÈÐ 1. ú|9� t���� r�çß� )�6 x °úכ
��ÃÌ r�y�� - µ1ÏÒqt r�y�� < ú|9� t���� r�çß� )�6 x °úכ
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|9�_� %�o� ¢-a«Ñ r�y�� - ��ÃÌ r�y�� < |9�_� %�o� ¢-a«Ñ t���� r�çß� )�6 x °úכ
27
4.2 ê�>ø� ®�N� ���+ %�h���· �Dø5� '�×ß��
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o�\�¦ 0Aô�Ç ~½ÓZO��Ér ��6£§õ� °ú �Ér :£¤fçܼ�Ð �������.
• s��$�àÔ_� ��ÃÌ í�H"f\�¦ l�ìøÍܼ�Ð |9�_��� %�o��)a��.
• �7H�¦!3�(ç(Non-blocking) ���� ·ú��¦o�7£§�¦ s�6 x �#� ���� ���õ�\�¦ ��ØÔ
>� Òqt$íô�Ç��.
• |9�_� ú'�� r�, s��$�àÔ\�¦ $��©� ���H !Q(���H ô�Ç��� ���Ò�o�)a��.
s��Qô�Ç :£¤fç�¦ �¦�9 �#�, �:r ���½\�"f��H G'p"f Û¼àÔaË> X<s�'�\�"f ���õ�
�'a>� |9�_�\�¦ %�o�\�¦ 0Aô�Ç ¿º ��t� ~½ÓZO��¦ ]jîß�ô�Ç��.
• r�çß� �'ao� ~½ÓZO�s��$�àÔ_� ��ÃÌ í�H"f\�¦ ����â �#� Dh�Ðî�r ��ÃÌ í�H"f\�¦ ÂÒ#�ô�Ç��.
• ���õ� �'a>� ���� ~½ÓZO����õ� �'a>� óøÍZ>��¦ 0Aô�Ç s��$�àÔ �©�_� Òqt$í ��¦, ��6 x�� &ñ_� ½©gË:�¦ l�
ìøÍܼ�Ð ���õ� �'a>�\�¦ óøÍZ>�ô�Ç��.
ÕªaË> 7õ� ·ú��¦o�7£§ 1�Ér ���õ� �'a>� |9�_� %�o�_� õ�&ñ�¦ �Ð#�ÅÒ�¦ e����.
Algorithm 1: CausalityQueryProcessorinput: E is incoming eventbegin1
/∗ method1 is method of incoming order ∗/2
/∗ method2 is method of chronological order ∗/3
if method1 then4
IncomingOrder(E)5
if method2 then6
ChronologicalOrder(E)7
end8
28
인과 관계조인 방법 응용프로그램사용자 정의규칙센서 스트림데이터
인과 관계 질의 처리 과정인과 관계질의 결과시간 관리방법
ÕªaË> 7: ���õ� �'a>� |9�_� %�o� õ�&ñ
4.2.1 k�ë5Ñ ®�h� '�×ß��
���õ� �'a>� |9�_� %�o�\�¦ 0Aô�Ç r�çß� �'ao� ~½ÓZO��Ér G'p"f Û¼àÔaË> X<s�'� %�o� r�
Û¼%7�\� ��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y�� J�����¦ �'ao� ��¦�� s��$�àÔ_� ��ÃÌ í�H"f
\�¦ ����â ���H �.���sכ ��ÃÌ í�H"f\�¦ ����â ���H s�Ä»��H ���õ� �'a>� |9�_�_� ���õ�
�� s��$�àÔ_� ��ÃÌ í�H"f\� ���� ²ú���t�l� M:ë�Hs���. �:r �7Hë�H\�"f��H ��6£§õ�
°ú s� r�çß� �'ao� ~½ÓZO��¦ ]jîß�ô�Ç��.
• ��ÃÌ í�H"f(Incoming order) ~½ÓZO�
µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�õ� %i���� �&³�©��¦ )�6 xô�Ç��. ����"f, ����â �t� ·ú§
�Ér s��$�àÔ_� ��ÃÌ í�H"f\�¦ l�ìøÍܼ�Ð |9�_�\�¦ %�o�ô�Ç��.
• ���@/ í�H"f(Chronological order) ~½ÓZO�
µ1ÏÒqtõ� ��ÃÌ_� %i���� �&³�©��¦ µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�ܼ�Ð ����âô�Ç��. ��
��"f, s��$�àÔ_� ��ÃÌ í�H"f\�¦ s��$�àÔ_� µ1ÏÒqt r�y��_� �2£§�í�Hܼ�Ð ���
�â �#� |9�_�\�¦ %�o�ô�Ç��.
29
���õ� �'a>� |9�_� %�o�\�¦ 0Aô�Ç ��ÃÌ í�H"f ~½ÓZO�_� :£¤fç�Ér ��6£§õ� °ú s� ���¹כ
÷&#Q�����.
• s��$�àÔ_� ��ÃÌ í�H"f��H ����â÷&t� ·ú§��H��.
• G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y�� J�����Ér µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�õ� %i���� �&³�©�s� �¿º µ1ÏÒqt ��0px ���.
• !Q(�_� r�çß� ���5Åq$í�Ér µ1ÏÒqtõ� ��ÃÌ_� %i���� �&³�©�s� µ1ÏÒqt �t� ·ú§�¦ M:$íwn��)a��.
·ú��¦o�7£§ 2�Ér ���õ� �'a>� |9�_� %�o�\�¦ 0Aô�Ç ��ÃÌ í�H"f ~½ÓZO�_� õ�&ñ�¦ �Ð
#�ï�r��.
Algorithm 2: IncomingOrderinput: E is incoming eventbegin1
CausalityJoin(E)2
end3
���õ� �'a>� |9�_� %�o�\�¦ 0Aô�Ç ���@/ í�H"f ~½ÓZO�_� :£¤fç�Ér ��6£§õ� °ú s� ���¹כ
�)a��.
• s��$�àÔ_� ��ÃÌ í�H"f��H s��$�àÔ_� µ1ÏÒqt í�H"f\� ����"f ����â�)a��.
• G'p"f Û¼àÔaË> X<s�'� %�o� r�Û¼%7�\� ��ÃÌô�Ç s��$�àÔ_� µ1ÏÒqt r�y�� J�����Ér µ1ÏÒqtõ� ��ÃÌ_� í�H �&³�©�ëß�s� µ1ÏÒqt ��0px ���.
• !Q(�_� r�çß� ���5Åq$ís� $íwn��)a��.
���@/ í�H"f ~½ÓZO�_� éß�&h��Ér ���H s��$�àÔ_� ��ÃÌ í�H"f\�¦ ����â ���H 1lxîß�\�
���õ��'a>�|9�_�_�%�o���t�����)a����H���Qô�Çéß�&h��¦K��s���.sכ�� �l�0AK�
"f �:r �7Hë�H\�"f��H ÂÒì�r&h�ܼ�Ð ��ÃÌ í�H"f\�¦ ����â ���H >h¥Æ��¦ ]jîß�ô�Ç��.
30
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����â s��$�àÔ Ãº\�¦ &h�6 xô�Ç ���@/ í�H"f ~½ÓZO��Ér !Q(�_� r�çß� ���5Åq$ís� $íwn�÷&
t� ·ú§��H��. ����"f, ÂÒì�r&h�ܼ�Ð s��$�àÔ_� ��ÃÌ í�H"f\�¦ µ1ÏÒqt í�H"f\� ���� ���
�â ���� s��$�àÔ\�¦ !Qo���H �âĺ�� µ1ÏÒqtô�Ç��. 7£¤, ��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦
&h�6 xô�Ç ���@/ í�H"f ~½ÓZO�\�"f��H !Q(�_� r�çß� ���5Åq$ís� $íwn�÷&�¦�� s��$�àÔ �<H
z�s� µ1ÏÒqtô�Ç��.
ÕªaË> 8�Ér ��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦ &h�6 xô�Ç ���@/ í�H"f ~½ÓZO�\�"f, !Q(�
_� r�çß� ���5Åq$ís� $íwn�÷&�¦�� s��$�àÔ�� �<Hz�÷&��H \V\�¦ �Ð#�ÅÒ�¦ e����. �<H
z�÷&��H s�Ä»��H, !Q(� ?/\� �>rF� ���H s��$�àÔ[þt_� þj@/ µ1ÏÒqt r�y�� 12�Ð�� 8õ�
11s� ��ØÔl� M:ë�Hs���.
도착 순서 8 7 6 5 4 3 2 1이벤트 발생 시각 14 15 8 11 5 10 12 3도착 순서 변경이벤트 발생 시각 15 14 12 10 5 3인과 관계 조인버퍼 크기 : 4동 시간성 임계값 : 5도착 순서 변경 이벤트 수 : 4이벤트 손실 : 8,11 ( < 12 )질의 결과 : (10,15),(12,15),(14,15)결과 누락 : (11,15)
버퍼 공간8 7 6 5 4 3 2 115 14 11 8 12 10 5 3
ÕªaË> 8: ��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦ &h�6 xô�Ç ���@/ í�H"f ~½ÓZO�
31
·ú��¦o�7£§ 3�Ér ��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦ &h�6 xô�Ç ���@/ í�H"f ~½ÓZO��¦ �Ð
#�ÅÒ�¦ e����.
Algorithm 3: ChronologicalOrderinput: E is incoming eventbegin1
/∗ buf1 is memory-based storage for adjusting arrival order ∗/2
/∗ buf2 is memory-based storage for join ∗/3
/∗ MaxSize(buf1) is number of events sorted by sensing time ∗/4
AddEvent(buf1,E)5
/∗ make an array for accommodated events on sensing time ∗/6
SortEvent(buf1)7
if MaxSize(buf1) == GetSize(buf1) then8
for i = 1 To MaxSize(buf1) do9
/∗ fetchs an event which has adjusted arrival order ∗/10
E1=GetEvent(buf1,i)11
DelEvent(buf1,i)12
if GetSize(buf2)== 0 then13
AddEvent(buf2,E)14
else15
/∗ fetchs an event which has maximum sensing time in16
buf2 ∗/E2=GetEventMaxSensingT ime(buf2)17
if ST(E1) > ST(E2) then18
CausalityJoin(E)19
/∗ stores event E in buf2 ∗/20
AddEvent(buf2,E)21
end22
��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦ &h�6 xô�Ç ���@/ í�H"f ~½ÓZO�\�"f��H ��ÃÌ í�H"f ���
�â s��$�àÔ Ãº\� _�K�"f |9�_� %�o� ¢-a«Ñ t����s� µ1ÏÒqtô�Ç��. Õª�Q�� |9�_� %�o�
¢-a«Ñ t���� r�çß��Ér z�r�çß� %�o� ]j��� 2 s�?/\�"f )�6 x�)a��. �:r ]X�\�"f��H �
�ÃÌí�H"f����âs��$�àÔú\�¦&h�6 xô�Ç���@/í�H"f~½ÓZO�_�|9�_�%�o�¢-a«Ñt����r�
çß��¦ ��&ñ 3\�"f ]jîß�ô�Ç��. ¢ô�Ç, �:r ���½\�"f��H z�r�çß� %�o� ]j��� 2 s�?/\�
"f )�6 x÷&��H ��ÃÌ í�H"f ����â s��$�àÔ Ãº\�¦ ]jîß�ô�Ç��.
32
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n >h_� |9�_� %�o� r�çß�
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n∑
k=1
Pk(Ei, Ej) , Pk(Ei, Ej) =
1 for true
0 for false
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Algorithm 4: CausalityJoininput : E is incoming eventoutput: pairs consists of pairs as (event,event)begin1
/∗ P is a set of user-defined rules ∗/2
/∗ buf2 is memory-based storage for join ∗/3
/∗ joins the incoming event with events in buf2 ∗/4
/∗ pairs is result of Causality Join ∗/5
for i = 1 To GetSize(buf2) do6
Bi = GetEvent(buf2,i)7
pair = CreatePair(E,Bi)8
for j = 1 To GetSize(P ) do9
/∗ determinates causality with pair on user-defined rule ∗/10
if Pj(pair) == 1 then11
count++12
/∗ pair has causality relationship∗/13
if count == GetSize(P ) then14
/∗ add pair to pairs ∗/15
AddPair(pairs,pair)16
/∗ buf2 is no enough memory to accommodate E ∗/17
if MaxSize(buf2) == GetSize(buf2) then18
/∗ flush the event which has minimum arrival time into out of19
buf2 ∗/DelEventMinArrivalT ime(buf2)20
end21
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MPD : 최대 전달 지연AR : 도착 간격 : 임의의 이벤트 발생 시각
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63 58 41 59 42 52 48 34도착 순서 8 7 6 5 4 3 2 1인과 관계 조인 63 58 41 59 42 52 48 34버퍼 크기 : 4동 시간성 임계값 : 20
버퍼 공간63 59 58 41 52 48 42 34도착 순서 변경 8 7 5 4 3 2 1
인과 관계 조인 63 58 52 48 42 34도착 순서 변경 이벤트 수 : 4이벤트 손실 : 41 ( < 52 )질의 결과 : (48,63),(52,63),(58,63),(59,63)버퍼 공간
이벤트 발생 시각
이벤트 발생 시각a) 도착 순서 방법( 재현율 0.5 )
b) 연대 순서 방법( 재현율 1.0 )
질의 결과 : (59,63),(58,63)결과 누락 : (48,63),(52,63)659
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45
63 50 45 59 58 41 48 34도착 순서 8 7 6 5 4 3 2 1인과 관계 조인 63 50 45 59 58 41 48 34버퍼 크기 : 4동 시간성 임계값 : 20
버퍼 공간63 59 50 45 58 48 41 34도착 순서 변경 8 7 5 4 3 2 1
인과 관계 조인 63 59 58 48 41 34도착 순서 변경 이벤트 수 : 4이벤트 손실 : 45,50 ( < 58 )질의 결과 : (48,63),(58,63),(59,63)결과 누락 : (45,63),(50.63)
버퍼 공간
이벤트 발생 시각
이벤트 발생 시각a) 도착 순서 방법( 재현율 0.8 )
b) 연대 순서 방법( 재현율 0.6 )
질의 결과 : (58,63),(59,63),(45,63),(50,63)결과 누락 : (48,63)6
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51
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52
Time Management Method for QueryProcessing of Causality on Sensor Stream
Data
Lee Sang-Hyun
Department of Computer Engineering, Pusan National University
Abstract
According to the disseminate of sensor network and development of re-
lated technology, analysis of sensor stream data is beginning to make its
appearance. So, Causality is necessary in extracting meaningful informa-
tion.
Query processing of causality requires sensing time of sensor in determi-
nating causal relationships between events on sensor stream data, because
cause precedes effect.
To raise performance of query processing of causality, events that have
consecutive orders for sensing time of event should be conducted continu-
ously. But, the event has arrival order which is different from occurrence
order in system for processing sensor stream data. This research suggests
time management method, which event is conducted continuously in consec-
utive order in sensing time of event, to change arrival order into occurrence
order.