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應用動態區位模式於國民中學學校設施區位選擇之研究

The Applications of Dynamic Location Models to the Junior High School Facility Location Choice

摘要


本文主要乃以時間(time)因素對學校設施區位選擇的影響做一探討及研究。一般在規劃學校區位時大都以P-中位數(P-media)之問題形式來做為設施區位點的取決方法,然實際情形往往並非如傳統規劃方式進行後之結果。台灣都市目前多已朝向多元化發展,部份地區學校之需求數量亦隨時間的改變而有所不同,因此傳統的固定式需求預測方式已無法解決及時性(in-time)及動態性(dynamic)的需求問題。也因此,實有必要發展出一套可依時間及需求的不斷演變及更新,而提供最新且符合所需的學校區位設置選擇之動態設施區位(dynamic facility location)的解決方法,藉以尋求並解決較理想的學校設施區位問題。本文對於學校設施區位的選擇可依各相關理論及研究步驟分別以下列四點說明之:一、探討漸進式P-中位數(progressive P-median)法及學校設施需求預測方法;二、針對需求預測模式加入時間之因素,並應用統計迴歸模式以推導出學生人口之預測數量;三、應用漸進式P-中位數法結合多元迴歸之學生人口預測模式建構學校區位選擇模式;四、利用AMPL (A Modeling Language for Mathematical Programming)數學規劃軟體作為解學校區位選擇之動態模式工具以求解最佳學校設施區位。本研究並以台中市北屯區為實證研究對象,依據各分區的學生人口預估量以進行學校設施興建之最佳區位位置選擇。

並列摘要


A model of dynamic school facility location choice is proposed in this thesis research. A dynamic p-median problem of school facility is considered. One important characteristic of this research is that the school students demand predicted in our model is changing over a given time horizon, i.e., the demand is time-dependent. Besides, the school facilities are built one at a time at given times. Once a new school facility is built, some of the students will use its services and some of them will patronize an existing facility. At any given time, students patronize the closest school facility under enough capacity. The problem is to find the best school facility location for the new facilities. The problem is formulated and the potential algorithm is proposed for this present time. However, a standard mathematical programming code AMPL(A Modeling Language for Mathematical Programming) is adopted here to solving our formulated problem. In this research it is assumed that new facilities are added to the area in given future points in time. The construction of schools, hospitals, public parking lots, stores, restaurants and other facilities in a growing area is typical for such applications. A real-world case study located in Pai-toun district of Taichung City in Taiwan will be proposed in this research to evaluate the performance of the research algorithm.

參考文獻


Chardaire, P.,Sutter, A.(1996).Solving the dynamic facility location problem.Networks.28,117-124.
Current, J.,Min, H.,Schilling, D.(1990).Multiobjective analysis of facility location decisions.European Journal of Operational Research.49,295-307.
Current, J.,Ratick, S.,Revelle, C.(1998).Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach.European Journal of Operational Research.110(3),597-609.
Daskin, M. S.(1983).A maximum expected covering location model: formulation, properties and heuristic solution.Transportation Science.17(1),48-69.
Drezner, Zvi(1995).Dynamic facility location: the progressive P-median problem.Location Science.3(1),1-7.

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