自動倉儲系統（AS/RS）普遍為各大倉儲業及物流中心所使用，AS/RS的基本功能為儲存貨物，管理貨物，可是AS/RS經由電腦中心進行分配控制，如此一來可以把錯誤的發生降至最低，更可以省去大部分的人力。不過搭建AS/RS的成本卻屬不低，所以為了儘可能規劃出最高效益的AS/RS，系統績效的評估更顯重要，於是本研究希望探討AS/RS的設計和系統績效之間的關係，藉此進行績效分析，而AS/RS的運作時間即為衡量系統績效的標準。

為了求取系統運作時間，本研究將AS/RS運作模式視為等候理論中的M/G/1模式，並將自動存取機（S/R機）的停滯點策略視為追蹤模式，再把AS/RS系統中的運作情形可分為四種。接著藉由指數分配的特性找出四種情形發生的機率；最後應用Bozer和White（1984）所推導出的運輸時間模式，便可以得到S/R機的運作時間並藉此分析系統績效。而為了證明此理論模型的正確性，本研究應用Visual C++語言來撰寫模擬AS/RS運作之程式，要透過模擬程式的結果來驗證理論模型的結果。

本研究針對AS/RS系統績效之分析所提出的理論模型，在系統建構之初，可以針對不同的貨架設計找出該系統的績效表現，而此理論模型的建構也較先前Bozer（2004）所提出的模型運算簡易。而從研究結果可知形狀係數越接近1時的貨架設計在面對較高的顧客到達率時，會有較佳的績效。且藉由資料比較，可以得知倘若設計出適合的貨架，在面對顧客到達率提升的時候，所能提供的服務率也能在控制範圍以內，不至於使得系統立即負荷過重。

Warehouse industries and modern factories are now dominated by crane-based Automated Storage and Retrieval Systems (AS/RS's) where aisle captive cranes provide more efficient movement patterns owing to simultaneously horizontal and vertical movement. However, system performance of AS/RS’s is not well discussed analytically and efficiently. This thesis proposes computationally efficient performance evaluation models for AS/RS’s under stochastic demand. Based on the assumptions of First-Come-First-Serve, random storage and a particular dwell point policy, storage/retrieval (S/R) machine travel time and the probability distribution for four travel scenarios are formulated and used to generate expected transaction service times. System performance including transaction waiting time and S/R machine utilization is the key to determine if the transaction demand is met. The proposed models provide prediction of system performance based on rack sizes, S/R machine travel velocity and transaction demand rates. They can be illustrated in the design and evaluation for an actual system installation.

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