Performance optimization of the wafer conveyor handling system using the crossover retrial rule
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摘要: 開口管樁由于其承載力高、質量可靠、施工方便等優點得到越來越廣泛的應用.土塞的生成使得開口管樁沉樁阻力不同于閉口管樁, 不僅包括樁外側摩阻力、樁端阻力, 樁內側摩阻力亦是其重要組成部分.針對開口管樁沉樁受力特性, 采用自主研發的大尺度模型試驗裝置, 進行不同樁靴形式下開口管樁的貫入試驗, 并與閉口管樁進行對比分析.研究表明, 開口管樁隨沉樁深度的增加趨于閉塞, 沉樁阻力隨沉樁過程基本呈線性增加, 樁內、外側單位摩阻力均存在“側阻退化”效應; 樁體貫入時樁周地表隆起量隨徑向距離增加逐漸減小, 隆起速率隨沉樁深度增加逐漸變緩, 樁周土影響范圍約為5 ~ 7倍樁徑; 樁靴對開口管樁土塞生成、沉樁阻力和擠土效應均有重要影響, 內30°樁靴土塞生成高度、樁內側摩阻力及其所占總沉樁阻力比例最大, 樁周土地表隆起量最小, 外30°樁靴與內30°樁靴情況相反, 直角樁靴居中; 閉口管樁沉樁阻力、外側摩阻力與擠土程度均大于開口管樁.
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關鍵詞:
- 晶圓制造 /
- 捷徑優化 /
- 自動物料搬運系統 /
- 重試排隊模型 /
- interbay系統
Abstract: The semiconductor wafer fabrication system is one of the most complex discrete manufacturing systems owing to its great number of production steps, heavy re-entry production flow, various kinds of products, etc. The automatic material handling system plays a key role in improving the production efficiency, reducing the work in process (WIP), and shortening the production cycle time of the semiconductor factory. To rapidly and effectively evaluate the impact of crossover systems on the overall performance of transport systems in wafer production, a performance analysis model was built by mathematical analysis and a decision-making method of crossovers was established. In the modeling procedure, the retrial transportation rule was first introduced. Then, considering the change in retrial rate affected by the crossovers strategy and referencing the related retrial queuing model, the mathematical expression of the expected WIP was constructed. Simultaneously, according to the cost of each crossover, the mathematical expression of the cost of crossovers was built. The optimization analysis model was obtained with the objective of minimizing the number of crossovers and WIP. Furthermore, the constraint conditions based on the length of the conveyor belt were introduced, so that the number of WIP products on each conveyor belt and crossover would not exceed the capacity limit of the conveyor belt. Finally, the NSGA-Ⅱ algorithm was used to solve the multi-objective optimization problem. The relation between the number of WIP and cost of crossovers under different logistics loads was investigated, and Pareto frontier charts were drawn up for comparative analysis. The influence of parameter settings on the objective function of the system was studied, and the solution set was classified by clustering the analysis algorithm. Based on the aboveanalysis results, the best strategy of system crossovers was summarized. By comparing the proposed system with the existing system and transportation strategy, the effectiveness of the strategy in reducing cost and WIP was confirmed. -
表 1 基于重試搬運策略的AMHS與傳統AMHS的比較
Table 1. Comparison of AMHS with crossover retrial rule and traditional AMHS
μ/s 傳統AMHS 基于重試策略AMHS WIP 捷徑成本 WIP 捷徑成本 13 92 1834 97 1101 15 113 1834 116 1118 17 163 1834 164 1320 表 2 μ=15 s情況下的系統各項性能指標與分類
Table 2. Performance index and classification of the system of μ=15 s
編號 捷徑使用策略 WIP 捷徑成本 SD 類別 1 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0 116 1118 267.9829 1 2 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 122 1068 277.4077 1 3 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0 125 953 303.7867 1 4 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 133 779 235.0052 2 5 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0 139 767 201.8698 2 6 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 142 665 219.7616 1 7 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0 153 625 154.0412 2 8 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 154 573 136.7715 2 9 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 158 499 208.8783 1 10 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 171 439 136.3487 2 11 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 242 415 233.6606 1 12 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 271 229 211.319 2 259luxu-164 -
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