高層集合住宅の内装工事における多工区同期化の工程計画手法

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1 高層集合住宅の内装工事における多工区同期化の工程計画手法 Synchronized Multi-site Scheduling for Interior Finish Work of High-rise Condominium Buildings 志手一哉 Kazuya Shide *1 田澤周平 Shuhei Tazawa *2 梗概 キーワード : 多工区同期化計画, インターフェイス マトリクス, リソース競合 Summary The state of the art of interior finish work, including services, of high-rise condominium buildings is far from being well planned and controlled because of the numerous components/activities and complicated interfacial relationship among them. The authors have attempted to apply the synchronized multi-site scheduling method using the interface matrix IFM developed by the authors to deduce possible optimum scheduling solution under fully synchronized condition 100 operating rate. A new method developed and employed in this paper is the further application of IFM to output resource- conflict-free scheduling. Our solution to a sample project shows the possibility of fully modularizing interior finish work while enabling full operating rate within much shorter time. Keywords: synchronized multi-site scheduling, interface matrix, resource conflict 1 はじめに 1 6 Fig Fig.1 Image of process planning for interior finish work 1 Chief Researcher, Research & Development Institute 2 Researcher, Research & Development Institute, Dr. Eng. 1

2 2 3 2 多工区同期化 2.1 多工区同期化とは DOC one Day One Cycle DOC 1 / IFM 6 IFM nn n i j i j i j IF 内装工事への多工区同期化適用 Fig.2 A /6 B 2 B A 1/2 A 1/2 1 / Fig.2 Fig.2 Image of synchronized multi-site scheduling for interior finish work 2.3 内装工事における多工区同期化適用の問題点 1 2 2

3 IF 3 バランス型ジョブ工区による多工区同期化の工程計画手法 3.1 IFMの作成 Fig.3 IFM IF 2 IF B A IF A B IF IFM a IF b IF c IF d IF Fig.3 e IF Study of synchronized multi-site scheduling planning step LGS IFM IF 完全同期化条件の検討 1 1 H c i 1 t i n i t i /H Rn Sn c i wn i n i Rn/Sn 1 Mn p Wp i p wn i /Mn 1 Wp i p c i tp i 2 p tp i 3 tp p / Mn H 100 i Wp i MAX wn i p /Mn 1 tp i wn i H /Wp i 2 3

4 tp i p Mn H 最少ジョブ工区分節数 (CP k ) の導出 クリティカルパスの分節 Fig.4 C c i CP cp i C c i Fig.4 CP cp i CP C IFM tp i Conceptual model of relationship of the tasks CP Fig EFt i Max EFt i CP Mn H CP k Fig クリティカルパス分節 (CP k ) の誘因要素 c i / CP cp i CP k IF 12 CP k I CP k I CP k P CP k S CP k I CP k P CP k S CP k Fig.4 CP k CP k CP k I CP k CP k,cp k+1 に直接先行 後続する工程要素 2 CP k CP k, CP k+1 c i CP k c i CP k I CP k, CP k+1 S CP k P CP k+1 CP k CP k+1 Max EFt i CP k Mn H Max EFt i CP k+1 Mn H CP k CP k+1 Fig.4 CP k CP k+1 CP k CP k+1 I CP k, CP k+1 S CP k P CP k+1 φ CP k CP k Fig.4 CP k CP k c i / CP k IF CP k ジョブ工区分節検討 最早順序 (ELn), 最遅順序 (LLn) の算出 CP k IFM Fig.4 Fig.5 CP k cp k cp k c i / CP k CP k IFM R R 1 Ln R ELn R LLn Table 1 Fig.5 IFM ELn LLn IF Table 1 13, cp 2, 16 14, 17 15, 18 a b ELn a ELn b LLn b LLn a IF Fig.5 Fig.4 14, 17, cp 3 15, 18, cp 3 cp 3, 19 cp 4, Contraction graph of Fig.4 4

5 Table 1 Fig.5 Results of topological ordering in Fig.5 ID CP 1 13 CP CP CP 4 19 CP 5 ELn LLn ELn-LLn ELn LLn c i / CP k ELn LLn cp k ELn c i Ln cp k LLn c i cp k cp 4, 1 9 ELn a ELn b LLn b LLn a cp 2, 14, 17 ELn LLn n n 1 14, 18 CP k IFM 2 cp k cp k+1 IF cp k ELn LLn Ln ジョブ工区分節の検討 CP k Mn CP k CP k Max Ln ELn LLn 1 cp k ELn LLn c i / CP k L T Mn T Mn L Max Ln ELn LLn cp k ELn Ln cp k LLn ELn LLn c i / CP k 2 cp k ELn LLn c i / CP k J k ELn c i / CP k ELn J k LLn J k LLn c i / CP k J k ELn LLn IF Max EFt i J k Mn H 3 CP k IFM Max EFt i J k Mn H ELn LLn ELn LLn c i / CP k IF IF リソース競合の判定 LFt i ESt i LFt i ESt i Mn EFt i i 1,2,,n EFt i LSt i EFt i LSt i+1 i 1 ESt i EFt i-1 LSt i EFt i-1 EFt i EFt i-1 +tp i LFt i ESt i Mn tp i 実データによる検証 4.1 検討内容と検討条件 1 1 5

6 Sn Mn Table 2 Overview of the project for reference 8 78 RC 50.03m m m Table LDK S 3LDK / 2 1 /6 4.2 分析内容 1 Table 3 Case of study 2 Sn Mn 6 Sn Mn Sn Mn Case1-1 Case1-2 Case1-3 Case1-4 Rn Case2-1 Case2-2 Case2-3 Case2-4 Rn Table Case3-1 Case3-2 Case3-3 Case m 2 /3LDK 1 / IFM Sn Mn CP k Ln CP k CP k Ln t-min CP k Mn H t-max Ln Mn H OR g tp g / Mn H 100 i 4.3 IFMの作成 200 IFM 161 Table 4 1 IF ID 80m 2 /3LDK 結果と考察 Table 5 Sn t-min Fig.6 t A Jn/Sn Fig.6 3 n i A/Sn 1/Rn 1 CP k 100 Sn 2 Case2-1 Case CP k

7 Table 4 IFM The list of tasks to consider IFM ID ID ALC PC PS ALC ALC , , AW AW ALC , ALC ALC , ALC , ALC , ALC ALC , 105, 107, 109, 110, AW , 105, , , AW , , AW ALC , , , AW , 106, 115, AW , 106, 115, , 112, 122, , 103, 104, 105, AC , UB , 117, HEX , SD SD , , 131, , SD , AC , ALC , SD , 142, , , 130, 137, 142, 146, , 124, , 125, , 117, 132, 143, , 113, UB , 139, , 123, 151, UB UB , , 152, , 140, ALC ALC , ALC , UB , UB , UB , UB , 155, ALC , , 115, 119, 121, 133, 134, 148, 151, 162, 163, 164, UB , UB , , 140, 158, , 160, AW BOX , 119, , 122, 136, 141, 144, 150, 158, 159, 161, 166, 167, 169, 170, 172, 174, 175, 176, 177, 178, 179, 180 ID ID BOX , BOX , , 165, 182, 184, 185, 186, 187, , , 195, , 192, SD , SUS , 201, SD SD SD SD , , 202, 203, 204, 210, 215, AC , 215, , WD , UB , 168, 173, TV , 189, LAN TEL HUB , 189, , , 233, , 211, 229, , 220, 221, , , 210, 222, , , , , 213, 220, 223, 231, 233, 235, , 234, 238, 239, 256 7

8 Table 5 The list of results Rn24 Rn12 Rn6 OR CP k Ln t-min t-max Case Case Case Case Case Case Case Case Case Case Case Case Fig.6 Sn t-min The relationship between Sn and t-min Sn 1 Sn 2 43 Sn 2 Sn 3 23 Sn 3 Sn Table 5 Table 5 CP k Ln 5 多工区同期化検討ツール IFM 1 Ln Fig CP CP k Fig.8 Fig.7 Fig.7 ID5 CP k ID27 Fig.7 Case of schedule in the job package Fig.8 Schedule of plasterer 8

9 6 まとめ IFM 謝辞 注 1 R i j i 0 1 j 0 R 2 IFM R cij i i ck R j i ch ck ch ch ck 参考文献 pp pp IFM n pp