IPSJ SIG Technical Report Vol.2015-SE-187 No /3/12 1,a) 1,b) Mozilla Firefox Eclipse Platform GNU Gcc % 43% 1. [1] Eclipse Mozilla 4 [3
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1 1,a) 1,b) Mozilla Firefox Eclipse Platform GNU Gcc % 43% 1. [1] Eclipse Mozilla 4 [3] [1, 3, 7] 1 Wakayama Uniersity a) s141015@sys.wakayama-u.ac.jp b) masao@sys.wakayama-u.ac.jp [6] 2. OSS [1,3,7] c 2015 Information Processing Society of Japan 1
2 Content-Based Recommendation Content-Based Recommendation (CBR) [1] Naive bayes SVM C % * CosTriage CosTriage [7] CBR CBR CosTriage CBR 5% 7-31% *1 3.1 (Multiple knapsack problem) [6] m n Maximize : v j x ij (1) Subject to : i=1 j=1 n w j x ij c i (i = 1, 2,..., m) (2) j=1 m x ij 1 (j = 1, 2,..., n) (3) i=1 x ij {0, 1} (j = 1, 2,..., n) (4) v j w j j x ij i j 0 1 (1) (2) i c i (3) (4) x ij 0 1 (2), (3), (4) (1) x ij lp solve *2 3.2 *2 lp solve 5.5: c 2015 Information Processing Society of Japan 2
3 情報処理学会研究報告 図 2 図 1 修正可能なタスク量 時間 の求め方 提案手法の全体像 先して割当てるべきかを示す係数として プリファレンス 用語 カテゴリ 表 1 本論文で用いる用語一覧 記号 意味 k LDA で分類された不具合の種類 修正タスクをどの開発者に優先的に割当 プリファレンス コスト Pij Cij てるべきかを示す尺度 Pij とは開発者 Di が不具合修正タスク Bj の修正に適 L Ti る方法は 不具合報告の内容とその修正者を分類器で学習 させることにより得る 本研究では 不具合報告の内容は 様々であることが考えられるため 未知のパターンに対し 開発者 Di が不具合修正タスク Bj に要 ても正しく識別する確率が高いこと 高い汎化能力 が期 する時間 過去に開発者 Di がカテゴリ 待できる SVM を用いる [5] k の不具合修正タスクを完了するのに要 不具合の修正コスト タスクの集中を防ぐために設定する値 一定期間内に修正可能なタスク量 (時間) 割当可能時間 Di が不具合修正タスク Bj の修正に適任である確率 プリ ファレンス Pij として定義する 適任である確率を求め 任である確率を示している した修正時間の平均値とした 上限 P を用いる プリファレンスとは 全開発者のうち開発者 Ti は開発者 Di の担当可能時間を示す Ti = 上限 L n j=1 Cij xij 不具合修正に必要な時間はどの開発者がどの不具合を修 正するかによって異なる 本研究では 開発者 Di が不具 合修正タスク Bj を修正する際に必要とされる時間を不具 合修正コスト Cij と定義する 本研究では 過去の修正履 歴から開発者 Di が不具合修正タスク Bj と類似した不具 問題として定式化し これを解くことでタスク割当ての最 合の修正にかかった時間の平均を求め 不具合修正コス 適化を行う マルチナップサック問題では 各ナップサッ ト Cij として用いる 不具合修正タスク Bj と類似した種 クの重量制約のもと 利得が最大となるアイテムとナップ 類の不具合であるかの判断するために Latent Dirichlet サックの組合せを求めるが 本問題では 各開発者の時間 Allocation (LDA) [4] を用いて分類する 本研究では 不 制限のもと プロジェクト全体で最も効率が良くなる開発 具合の分類をそれぞれカテゴリ k と呼ぶ なお 開発者 者と不具合の組合せを求める によっては 修正したことのないカテゴリも存在する そ 本問題をマルチナップサック問題として応用する上で のままではコストを算出できないので 協調フィルタリン プロジェクトをナップサックの集合 各開発者が修正作業 グ [?] を用いて 算出できないコストを推論して補う に使える時間の上限を各ナップサックの最大重量 不具合 上限 をアイテム 不具合の修正に必要な時間 コスト を重み 開発者が一定期間内に修正できるタスク量には限りがあ 不具合に対する開発者の適性を数値化したもの (プリファ ると考えるのが自然である 本研究では 開発者 Di が一 レンス) を利得として考える 以降では本論文で用いる用 定期間に修正可能なタスク量 時間 を考慮した不具合の 語である 修正作業に使える時間 コスト プリファレン 割当てを行う 図 2 は 修正可能なタスク量の求め方を示 スを定義する また 表 1 に用語の一覧をまとめ 図 1 に した概略図である 修正可能なタスク量は割当可能時間 Ti 本手法の全体像を示す なお 本論文では開発者の一人一 から求める また 割当可能時間 Ti は あらかじめ設定す 人の適性を反映できるよう どの開発者がどの不具合を担 る上限 L 日 と 新規の修正タスク割当時点で既に開発 当するかによってプリファレンスやコストが異なるという 者 Di が担当している不具合のコスト Cij から求める モデルになっている点に注意されたい つまり 一般的な 新規に割当てる修正タスクのコストの合計が Ti を超え マルチナップサック問題 3.1 節参照 と本問題における ないようにすることで 特定の開発者へ修正タスクが極端 変数の形が若干異なっている (vj が Pij, wj が Cij となっ に集中するのを防ぐ効果を期待できる なお 上限 L はプ ている) ロジェクトによって大きさを変えることができる プリファレンス 開発者の適性 マルチナップサック問題の目的関数では 目的変数に係 数を設定する 本研究では 修正タスクをどの開発者に優 c 2015 Information Processing Society of Japan 3.3 定式化 本研究では目的変数 目的関数 制約条件を次のように 3
4 3.3.1 x ij D i B j 0 D i B j 1 x ij {0, 1} (5) Maximize : m i=1 j=1 n P ij x ij (6) 2 (7) (8) n C ij x ij T i (i = 1, 2,..., m) (7) j=1 1 1 m x ij 1 (j = 1, 2,..., n) (8) i=1 3.4 Step 1: L L T i Step 2: D i k B j C ij P ij Step 3: Step 4: Step 5: T i Step 4 T i Step 6: Step.2 n T i n n(> 0) n T i Step 1 L I II III OSS ( Mozilla Firefox Eclipse Platform GNU Gcc ) [1,3,7] 2 4 (FIXED) 2 OSS c 2015 Information Processing Society of Japan 4
5 2 ( ) Fire 2010/7/5 2011/7/4 1,043 fox 2011/7/5 2011/9/ Plat 2010/3/ /3/ form 2011/3/ /6/ Gcc 2009/12/ /12/ /12/ /3/ 実験上の日付 10/1 10/2 10/3 既存手法 提案手法 10/2 時点の割当結果 10/2より前に割当てられた不具合 3 10/4 割当最終日時点の割当結果 修正時間 3 Firefox Platform Gcc Firefox Platform Gcc 1, , CBR CosTriage CosTriage 3 CosTriage CBR CBR CosTriage CBR CosTriage SVM [1] C ij c 2015 Information Processing Society of Japan 5
6 L 3.4 Step 6 n 3 Firefox L=14 Platform L=7 Gcc L=6 n 1 LDA Arun [2] Firefox 7 Platform 12 Gcc Step 6 Step 2 Step 6 Step 2 Step 3 [7] 5 Firefox 1,702 1, Platform 1, Gcc 1,089 1, *3 = + 1 (9) * Firefox % Platform %Gcc % vs. CBR Firefox 12 Platform Gcc 3 Firefox 6 Platform 4 Gcc 3 CosTriage Firefox 4 Platform 3 Gcc 2 CBR Firefox 7 Platform 0 Gcc 1 Platform Gcc Firefox *3 c 2015 Information Processing Society of Japan 6
7 5.3 II 6 CBR Cos- Triage 7 7 Firefox 1,702 CBR 1,647 Costriage 1,215 1,092 CBR 3% Costriage 29% 36% CBR 34% CosTriage 10% Platform 1,003 CBR 957 Costriage CBR 5% Costriage 52% 43% CBR 40% CosTriage 21% Gcc 1,085 CBR 875 Costriage CBR 19% Costriage 54% 38% CBR 23% CosTriage 35% Firefox CBR 53 CosTriage Platform CBR 79 CosTriage Gcc CBR 108 CosTriage Firefox Cos CBR Triage ,702 1,647 1,215 1,092 Platform Cos CBR Triage , Gcc Cos CBR Triage , CBR CosTriage Firefox 53(89) 56(86) 119(23) Eclipse 79(89) 123(45) 158(10) Gcc 108(142) 166(84) 226(24) 226 CosTriage CosTriage 5.4 III 8 CBR CosTriage Firefox CBR 88.7% CosTriage 93.4% 62.7% Platform CBR 64.9% CosTriage 48.8% 42.3% Gcc CBR 82.8% CosTriage 66.4% 66.0%3 CBR 78.8% CosTriage 69.6% 57% CBR CosTriage CBR 13 CBR 38% L n c 2015 Information Processing Society of Japan 7
8 8 CBR CosTriage Firefox Platform Gcc L L Firefox 14 Platform 7 Gcc 6 L L L 5 L Firefox L 5 16 L 17 Platform Gcc L 2 5 L L CBR L 5 L 7. Mozilla Firefox Eclipse Platform GNU Gcc % 43% (C): [1] Anvik, J., Hiew, L. and Murphy, G. C.: Who should fix this bug?, Proc. of ICSE 2006, pp (2006). [2] Arun, R., Suresh, V., Veni Madhavan, C. E. and Narasimha Murthy, M. N.: On Finding the Natural Number of Topics with Latent Dirichlet Allocation: Some Observations, Proc. of the 14th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, Vol. I, pp (2010). [3] Bhattacharya, P. and Neamtiu, I.: Fine-grained incremental learning and multi-feature tossing graphs to improve bug triaging, Proc. of ICSM 2010, pp (2010). [4] Blei, D. M., Ng, A. Y. and Jordan, M. I.: Latent Dirichlet Allocation, Machine Learning Research, Vol. 3, pp (2003). [5] Gunn, S. R.: Support Vector Machines for Classification and Regression, Technical report, University of Southampton, Faculty of Engineering, Science and Mathematics; School of Electronics and Computer Science, University of Southampton (1998). [6] Martello, S. and Toth, P.: Knapsack Problems: Algorithms and Computer Implementations, John Wiley & Sons, Inc., New York, NY, USA (1990). [7] Park, J., Lee, M., Kim, Jinhan, H. S. and Kim, S.: COS- TRIAGE: A Cost-Aware Triage Algorithm for Bug Reporting Systems, Proc. of AAAI 2011 (2011). c 2015 Information Processing Society of Japan 8
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OSS 1,a) 1,b) 2,c) 3,d) 2014 5 19, 2014 11 10 OSS Mozilla Firefox Eclipse Platform 3 (1) (2) Firefox 50% Platform Firefox 34% Platform 38% (3) 2 OSS 0-1 A Bug Triaging Method for Reducing the Time to Fix
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