時間窗口網路之時間分析｜國立中央大學博碩士論文系統

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研究生：	蕭立人 Li-Jen Hsiao
論文名稱：	時間窗口網路之時間分析 Time Analysis in a Time Window Network
指導教授：	陳彥良 Yen-Liang Chen
口試委員:
學位類別：	博士 Doctor
系所名稱：	管理學院 - 資訊管理學系 Department of Information Management
畢業學年度：	92
語文別：	英文
論文頁數：	89
中文關鍵詞：	時間窗口、網路分析、生理時鐘、時間分析、最晚路徑、彈性路徑、運送、繞徑
外文關鍵詞：	Time Window, Network Analysis, Body Clock, Time Analysis, Latest Path, Flexible Path, Shipping, Vehicle Routing
相關次數：	點閱：14 下載：0
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由相關領域之各大期刊蒐集得到的許多研究文獻中，都曾經提出一些時間窗口(Time Window)網路的模型及相關的研究，這一類的研究大多著重以在時間窗口網路的基礎上，解決找尋最短路徑或交通工具繞徑等問題。在此模型之下，有些狀況未曾被考慮過，本文將找出這些因素並加以研究，研究結果大致可以歸納如下：第一、根據此類問題的實際狀況，提出生理時鐘(Body Clock)的時間條件，以彌補網路模型的不足，並提出解決貨運排程問題的演算方法。第二、研究旅行者在時間窗口網路上，所循路徑之彈性問題，並提出演算方法以找出最有時間彈性之路徑。第三、在時間網路模型中，加入生理時鐘之條件，並研究其彈性之相關議題。

Time window has been a common form of time constraint extensively considered in the literature. Basically, a time window is a time period, defined by the earliest and latest times, when a node is ready for traveling through. Although many variants of transportation problem in time-window networks have been proposed, none of them considers the possibility that time windows may be associated with the moving travelers or vehicles who travel only in these time periods.
In this dissertation, a new variant of time-window constraint, we call it body clock constraint, is proposed at first. We assume that each vehicle has its own body clock and a capacity limitation on carrying goods, and we are trying to determine a minimal time schedule for sending a certain amount of goods from source to destination in a time-window network. The problem is studied by two cases, the first case considers single vehicle scheduling while the second one discusses multiple vehicles. Two different algorithms are presented to find the optimum schedule for each of the two cases.
Secondly, to plan and select a path under a constraint on the latest entering time at the destination node, we propose a systematic method to generate time information of the paths and nodes on a time-window network. Algorithms are proposed to generate various time characteristics of the nodes, including the earliest and latest times of arriving at, entering, and departing from each node on the network. Using the basic time characteristics, we identify inaccessible nodes that cannot be included in a feasible path. Concurrently, we evaluate the flexibilities of accessible nodes in the waiting time and staying time. We also propose a method to measure adverse effects when including an arc. Based on the time characteristics and the proposed analysis schemes, we develop an algorithm for finding the most flexible path in a time-window network.
We then extend the time window network to include body clock with traveler. Time characteristics of nodes and arcs are generated similarly. The flexibility and inaccessibility analyses of nodes and arcs are also discussed. Similarly, we provide an algorithm to find the most flexible path in this time-window network with traveler’s body clock.

Contents
Abstract ................................................................  i
Contents ................................................................ ii
List of Figures ......................................................... iv
List of Tables ..........................................................  v
Chapter 1  Introduction .................................................  1
1 Works on Classical Network Model ....................................  1
2 Time Window Network .................................................  3
3 Body Clock ..........................................................  4
4 Time Analysis for Planning a Path ...................................  6
5 Planning a Path in Time-Window Network by Traveler with Body Clock ..  8
6 Synopsis of the Dissertation ........................................  9
Chapter 2  Body Clock Shipping Problems	................................. 11
1 Problem definition and notations .................................... 11
2 Single vehicle with infinite capacity problem ....................... 14
3 Correctness Proof of Algorithm 2.1 .................................. 18
4 Multiple vehicles with capacity restrictions ........................ 22
5 Discussions	......................................................... 26
Chapter 3  Time Analysis in a Time Window Network ....................... 29
1 Problem Statements .................................................. 29
2 Algorithms for Generating Time Characters ........................... 32
3 Time Analysis ....................................................... 38
4 Inaccessible node and node flexibility .............................. 39
5 Waiting Time and Staying Time Analysis .............................. 40
6 Adverse Effects by Including an Arc ................................. 44
7 Most Flexible Path Selection ........................................ 46
8 Correctness of the Algorithm to Find the Most Flexible Path ......... 52
9 Multiple Intermediate Destination Nodes ............................. 54
10 Conclusion ......................................................... 56
Chapter 4 Time Analysis with Body Clock Constraint ...................... 58
1 Problem Statements .................................................. 58
2 Time Characteristics on Nodes and Arcs .............................. 60
3. Algorithms for Generating Time Characteristics on Nodes and Arcs ... 62
4 Time Analysis ....................................................... 70
5 Accessibility and Flexibility ....................................... 72
6 Waiting Time and Staying Time Analysis .............................. 74
7 Adverse effects by including an arc ................................. 77
8 Most Flexible Path Selection ........................................ 79
9 Conclusion .......................................................... 82
Chapter 5 Conclusions ................................................... 84
1 Contributions ....................................................... 84
2 Further Studies ..................................................... 86
References .............................................................. 88

                                

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