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研究生: 陳建閔
Chen, Chien-Min
論文名稱: 排艙與整櫃最佳化網路模式
An Optimization Model for the Container Loading and Re-Marshalling Problem
指導教授: 李宇欣
Lee, Yusin
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 96
中文關鍵詞: 最佳化網路排艙整櫃整數規劃
外文關鍵詞: optimization, network, integer program, ship planning
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  • 航運運輸領域中,貨物的往來仰賴貨櫃裝載並由貨櫃船輸送。因此,運務人員系統化地運作貨櫃裝、卸船步驟,並提昇作業效率,此即航運領域中的重要一環。本研究併同考慮貨櫃的裝船動作與場中的整櫃作業,設計一套模擬貨櫃運送的數學模式。
    數學模式的建立與求解過程,首先由網路的型態呈現貨櫃場、船舶的儲位空間與各項碼頭機具(包括軌道式門型機、橋式起重機、貨櫃拖車等)的作業方法,並以流量表示貨櫃在各區域與機具間的移動。爾後再以線性數學式描述流量守恆限制與流量流動規則,藉此模擬排艙與整櫃作業的進行。並以最小化整櫃次數為目標,運用線性規劃方法,將限制式與目標函數委由套裝軟體CPLEX 6.0計算。再依據所求得的結果,後處理成為作業步驟流程。
    網路模式中假設各項機具移櫃一次所耗時間均相同,待移櫃完成,貨櫃場與船舶中的儲位空間又復歸靜止,由此衍生時間離散的假設,每個時間點均表示一貨櫃儲區靜止狀態。又因必須監控每只貨櫃在各時間點所在位置,即運用多元商品流動問題的觀念,將不同編號之貨櫃視為在網路中流動的不同類商品,每只貨櫃均有所屬的單一網路層,由此將排艙與整櫃問題建構為多元商品的時空網路結構。
    本研究所建立之數學模式為一整數規劃問題,可利用分支定限法進行求解。然而測試例規模逐漸擴大時,即因問題規模超越個人電腦的記憶體負荷而無法求解。論文中以數個小規模測試例驗證模式的正確性,均符合流量流動規則的要求。

    The efficiency of the containership’s loading and unloading process plays an important role in the container terminal working. This paper is concerned with the container pre-marshalling operation and the loading plan. We design a mathematical model to simulate the shifting of containers.
    In this research we use a network based optimization model to present terminal space and the operation of rail cranes, quay cranes, and internal trucks. Flow in the network corresponds to container movements from one slot to another. We use linear constraints to represent the conservation of flow and certain rules about flow works. The optimization objective is to minimize the number of reshuffles. Because the objective function and constraints are linear, one can use CPLEX to solve the model and than infer the planning flowchart according to decision variables values.
    In this model we assume that all equipments spend the same amount of time to re-positioning a container, and all equipments move in sync. As a result, containers are assumed to be stationary at every discrete time point. The model regards each container as a different flow commodity in the network, and the network model is a multi-commodity, time-space network.
    The resulting model is an integer program that can be solved by any standard algorithm such as branch and bound. However, for instances that are close to real terminal in size, the model cannot be solved in a personal computer. Smaller scale computation examples are presented in the thesis to demonstrate the correctness of the model.

    中文摘要 I Abstract III 誌謝 IV 目錄 V 表目錄 VII 圖目錄 VIII 第一章 緒論 1 1.1 研究動機與目標 1 1.2 研究方法與流程 2 1.3 論文架構 3 第二章 碼頭運作與管理 5 2.1貨櫃 5 2.2碼頭佈設 9 2.3碼頭作業分類 10 2.4碼頭作業流程 12 2.5貨櫃搬運機具 13 2.6貨櫃放置規則 15 第三章 文獻回顧 19 3.1整櫃作業相關文獻 19 3.2排艙作業相關文獻 21 3.3其它碼頭作業相關文獻 22 3.4文獻內容統整 22 第四章 數學模式 24 4.1 界定問題範圍 24 4.2 網路模式 25 4.2.1儲位編碼表示法 27 4.2.2時間點編碼表示法 29 4.2.3貨櫃場區、甲板上、船艙底堆疊 29 4.2.4拖車群 36 4.2.5 Source node與Sink node 40 4.2.6網路模式與範例 41 4.3排艙數學模式 46 4.3.1參數定義 46 4.3.2決策變數 49 4.3.3限制式 50 4.3.4目標函數 67 4.4問題規模 67 第五章 測試與分析 70 5.1測試例一 73 5.2測試例二 76 5.3測試例三 80 5.4測試例四 86 5.5測試結果分析 89 第六章 結論與後續研究 91 6.1 結論 91 6.2 後續研究 91 參考文獻 94 簡介 96

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