Join order algorithm using predefined optimal join order

Areerat Trongratsameethong
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Abstract

This paper proposes an optimization algorithm named Join Order Algorithm Using Predefined Optimal Join Order or is called JAPO algorithm to optimize join cost. Optimal join order solutions for all possible join patterns are predefined and stored in a file using Dynamic Programming with Memorization technique or is called DPM algorithm. JAPO algorithm searches join order solutions from the predefined optimal join orders using hash function instead of traversing all search space. Experiments are conducted and join costs obtained by JAPO algorithm are compared with DPM algorithm and greedy algorithm named GOO. The experimental results show that JAPO algorithm with polynomial time complexity obtains almost 100 percent of optimal join order solutions. DPM algorithm obtains 100 percent of optimal join order solutions with factorial time complexity. GOO algorithm with polynomial time complexity obtains sub-optimal solutions and number of optimal solutions obtained by GOO algorithm decreases when number of relations to be joined is increased.
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连接顺序算法使用预定义的最优连接顺序
本文提出了一种基于预定义最优连接顺序的连接顺序算法,即JAPO算法来优化连接成本。所有可能的连接模式的最优连接顺序解决方案都是预定义的,并使用带记忆的动态规划技术或称为DPM算法存储在文件中。JAPO算法使用散列函数从预定义的最优连接顺序中搜索连接顺序解,而不是遍历所有搜索空间。通过实验,将JAPO算法获得的连接代价与DPM算法和贪心算法GOO进行了比较。实验结果表明,具有多项式时间复杂度的JAPO算法几乎可以获得100%的最优连接顺序解。DPM算法以阶乘时间复杂度获得100%的最优连接顺序解。时间复杂度为多项式的GOO算法得到次优解,且随着待连接关系个数的增加,GOO算法得到的最优解个数减少。
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