台灣地區近年來興建許多快速道路，大幅改善了塞車的問題。定期為鋪面狀況進行監測與維護，並作適當的改善措施，乃是道路主管機關之重責，因此鋪面管理的地位相當重要，而現行道路養護作業皆是依照主管機關單位主觀經驗判斷及經費，來決定該養護路段所採用之養護方法，然而此主觀經驗判斷方法缺乏系統性之規劃，甚至因主觀影響其判斷結果，養護品質成效不彰，或造成各路段品質不一。
本研究提出以二階段模糊多目標最佳化數學模式模擬鋪面養護最佳化問題，此模式採用美國材料試驗學會標準測試(ASTM D6433)所定義之PCI(Pavement Condition Index)為鋪面狀況評斷之指標，鋪面劣化行為則使用Shahin(2003)構建之鋪面劣化模式來進行PCI劣化預測，其目標式參考Colucci-Rios and Sinha(1985)之最佳化騎乘指數進行修改並加以應用，本研究目標式包含以及「最大化鋪面指標值」、「最小化養護總成本」以及「最小化維護次數」；「最大化鋪面指標值」目標式可使規劃期間之鋪面指標值最大化，確保鋪面狀況有一定的水準；「最小化養護總成本」目標式可使規劃結果之養護總成本最小化，以達到節省經費目的；「最小化維護次數」目標式可使規劃策略盡可能減少維護次數，對用路人的負面影響最小，減少對交通的衝擊。

In this research, we simulate the optimization problem of pavement maintenance with two-phase fuzzy multi-objective optimal mathematical model. This model has index of pavement-condition judgment which was defined by the American Society for Testing and Materials standard testing (ASTM D6433) as PCI, and in this model of pavement deterioration behavior, we use pavement deterioration model which was formulated by Shahin (2003). In the objective function of this model, we refer the optimal riding index which was defined by Colucci-Rios and Sinha (1985) to conduct revision and apply further. In this research, the objective function include “maximizing pavement condition index”, “minimizing total maintenance cost”, and “minimizing maintenance frequency”. The objective of “maximizing pavement condition index” can maximize pavement condition index in the period of planning to ensure the particular level of pavement condition. The objective of “minimizing total maintenance cost” can minimize the total maintenance cost in the result of planning to achieve the purpose of saving budget. The objective of “minimizing maintenance frequency” can reduce the maintenance frequency as much as possible to have a negative influence on passersby least and lower the impact on traffic.
Key word: pavement flatness, pavement deterioration, multi-objective optimization, fuzzy mathematical programming

1.ASTM D6433-99, “Standard Practice of Roads and Parking Lots Pavement Condition Index Surveys”, 1999
2.ASTM D5340-98, “Standard Test Method for Airport Pavement Condition Index Surveys”, 1998
3.DeLurgio, S. A.“Forecasting Principles and Applications”, 1998.
4.G., S. W. Hudson,”Integrated pavement and maintenance management for Jamaica-Jacob”, 1996
5.Haas, R., Hudson, W. R.,and Zaniewski, J., “Modern Pavement Management”,1994.
6.Hudson and Haas,” Pavement Management Implementation”,1992
7.Lai Y. J. and C. L. Hwang, “Fuzzy Mathematical Programming – Methods and Applications”, Lecture Notes in Economics and Mathematical Systems, 394(R3-301), 1992
8.Lee, ES. And Li, R.J., “Fuzzy multiple objective programming and compromise programming with pareto optimum”,Fuzzy Sets and Systems, Vol.53, No.2, pp.275-288.
9.Mohseni Alaeddin, Michael I. Darter and James P. Hall, ”Illinois Pavament Network Rehabilitation Management Program “,Transportation Research Record 1272, pp.85~95,1990
10.Saraf, C.L., “Pavement Condition Rating System Review of PCR Methodology”,Report OH-99/004, FHWA, Ohio Department of Transportation, 1998
11.Sayers, M. W., “On the Calculation of IRI from Longitudinal Road Profile,” Transportation Research Record, National Research Council,Washington, D.C., pp. 55-62, 1995
12.Shahin, M.Y., Nunez, M.M., Broten, M.R., Carpenter, S.H., and Sameh, A., “New Techniques for Modeling Pavement Deterioration,” Transportation Research Record 1123,National Research Council, Washington, D.C., pp. 40-46, 1987.
13.Shahin, M. Y., “Pavement Management for Airports, Roads, and Parking Lots”,2003
14.Shahin, M.Y., Burkhalter J. A., Wilken G. A., et al, Micro PAVER Version 5.1 User Manual,Construction Engineering Research Laboratory, US Army Corps of Engineers, 2003.
15.US Army Corps of Engineers Construction Engineering Research Laboratory “The Practical Use of Paver in Planning Programming, and Developing Projects for Pavement Maintenance and Repair”,1986
16.Wang C.P. and Zaniewski J., “Optimization Techniques for Pavement Management,” Proceedings of the 8th Conference of Road Engineering Association of Asia and Australasia, pp.157~162, 1995
17.Zhao, Z. and C. Chen, “A Fuzzy system for concrete bridge damage diagnosis”, Computer & amp; Structures, 80(7-8): 629-641, 2002
18.Zimmermann H. J., “Fuzzy programming and linear programming with several objective functions”, Fuzzy Sets and Systems, 1(1): 45-55, 1978
19.交通部公路總局,「101年度公路養護手冊」,2012
20.洪境聰,「柔性鋪面現況服務力指標與預測模式建立之研究」,中央大學土木工程研究所碩士論文,2000
21.洪境聰、張家瑞、林志棟,「路面平坦度量測技術儀器比較」,ARAN檢測車技術研討會,中央大學土木工程研究所,1999年
22.姚祖康,「路面管理系統」,人民交通出版社,1993
23.許凱均,「以模糊迴歸分析評估柔性鋪面現況服務指標」,國立成功大學土木工程學系碩博士班,2008
24.曾芳美,「時間數列預測方法之整合與比較研究」,國立交通大學工業工程與管理系碩博士班,1999
25.張家瑞,「建立台灣地區瀝青路面網級養護管理系統－以公路局中壢工務段為例」,國立中央大學土木工程系碩博士班,2001.
26.黃維謙,「鋪面養護方法選擇模式之研究」,國立交通大學土木工程學系碩博士班,1998
27.黃世英,「鋪面破壞與糙度指標關係之建立」,國立台灣大學土木工程
研究所碩博士班,1994
28.蔣子平,「台灣區國道鋪面績效指標及平坦度預測模式」,國立中央大學土木工程學系碩博士班,2004