Composite Sailing Optimization of Piecewise Rhumb Line

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Project title

Code/計畫編號

NSC99-2410-H019-023

Translated Name/計畫中文名

多段恆向線混合航法最佳化之研究

Project Coordinator/計畫主持人

Wei-Kuo Tseng

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Merchant Marine

Website

https://www.grb.gov.tw/search/planDetail?id=2143461

Year

2010

Start date/計畫起

01-08-2010

Expected Completion/計畫迄

31-07-2011

Bugetid/研究經費

448千元

ResearchField/研究領域

經濟學

"運輸（航海）的目的是如何將人員或貨物以便利、經濟、迅速及安全的方法從A 點運送到B 點，以創造時間及地域效用的科學。陸地航行因為路線或地形的限制，一般可由道路的交通狀況、距離及幾何佈置關係等來決定行駛路線，在不考慮天候及政治關係下，航空航海的航行最短路線一般採用大圓路徑，但是大圓航行由於航向不斷的變化，在實務上都是以多段恆向線來逼近大圓路徑，因為恆向線有固定航向的優點，航行人員不需要一直改變航向，航行人員只要航行到有限的轉向點，分別設定航向就可以完成航行任務抵達終點，但是航行人員或航路規劃人員通常都是任意毫無法則選取分段轉向點，不同的轉向點會產生不同的總航行距離，本文的目的是建立及研究一套選取多段恆向線混合航法轉向點的方法，利用最佳化數學觀念可以建構相關的演算法。本研究建立的演算法除了航行距離比傳統上在大圓航線等經度求取的轉向點之航行距離短之外，並可設定一些限制式，使得航行到最佳化轉向航點的時間恰好在每天某個固定時間，以增加船上人員工作便利性及時間掌控性。計畫也包含利用Java script 或ASP 語法撰寫演算網頁程式，完成後放置於海洋大學商船學系網站上以利相關人員利用，以期增加新知識的流通性，因為Excel 試算表軟體普及性高及取得容易，本計劃亦將撰寫 Matlab 程式及利用VBA 撰寫相關的增益集（Add-in），以供海上從業及教育訓練人員下載使用，期能改善目前商船教育訓練或海上實務作業上航行規劃的現況，另外電子海圖或地圖程式設計者也可以參考本文提出的演算法進行預訂航路相關的程式設計，擴充電子海圖航行應用功能。""In this document, a logical and concise computation method especially suited for coding computer program by using a fundamental concept of optimization is developed to deal with classical problems of composite sailing. The great circle distance represents the shortest distance between two points on a sphere, such as the Earth. A great circle is that portion of a plane that cuts through the Earth and its center. In order to navigate a great circle route, the heading will be changing continually. The most convenient course for a ship to steer is a steady course; on along which the bearing of her head remains constant. Her track must then cut all meridians at the same angle, and in general it will spiral towards the nearer pole. In practice the great circle track is divided into suitable lengths, successive points on the great circle being joined to form a succession of rhumb lines. But there are many different distances between several different turning points on the sphere. How to choose those turning points on the great circle in order to sail on minimum distance? The gist of his paper is to propose an effective and efficient method of calculating the minimum distance of piecewise rhumb lines between finite turning points."

Keyword(s)

恆向線
大圓航線
轉向點
rhumb line
great circle
turning point

DSpace CRIS

Composite Sailing Optimization of Piecewise Rhumb Line

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