An integrated AHP-DEA methodology for bridge risk assessment

The traditional analytic hierarchy process (AHP) method can only compare a very limited number of decision alternatives, which is usually not more than 15. When there are hundreds or thousands of alternatives to be compared, the pairwise comparison manner provided by the traditional AHP is obviously infeasible. In this paper we propose an integrated AHP-DEA methodology to evaluate bridge risks of hundreds or thousands of bridge structures, based on which the maintenance priorities of the bridge structures can be decided. The proposed AHP-DEA methodology uses the AHP to determine the weights of criteria, linguistic terms such as High, Medium, Low and None to assess bridge risks under each criterion, the data envelopment analysis (DEA) method to determine the values of the linguistic terms, and the simple additive weighting (SAW) method to aggregate bridge risks under different criteria into an overall risk score for each bridge structure. The integrated AHP-DEA methodology is applicable to any number of decision alternatives and is illustrated with a numerical example.

[1]  Kaoru Tone,et al.  A comparative site evaluation study for relocating Japanese government agencies out of Tokyo , 2003 .

[2]  Sushil Kumar,et al.  Analytic hierarchy process: An overview of applications , 2006, Eur. J. Oper. Res..

[3]  F. Liu,et al.  The voting analytic hierarchy process method for selecting supplier , 2005 .

[4]  Thomas L. Saaty,et al.  How to Make a Decision: The Analytic Hierarchy Process , 1990 .

[5]  Ramakrishnan Ramanathan,et al.  Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process , 2006, Comput. Oper. Res..

[6]  Reza Farzipoor Saen,et al.  Determining relative efficiency of slightly non-homogeneous decision making units by data envelopment analysis: a case study in IROST , 2005, Appl. Math. Comput..

[7]  T. Saaty.  How to Make a Decision: The Analytic Hierarchy Process , 1990 .

[8]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[9]  Bryan T. Adey,et al.  Risk-based approach to the determination of optimal interventions for bridges affected by multiple hazards , 2003 .

[10]  Taho Yang,et al.  A hierarchical AHP/DEA methodology for the facilities layout design problem , 2003, Eur. J. Oper. Res..

[11]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[12]  RuanDa,et al.  Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems , 2006 .

[13]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[14]  YM Wang,et al.  Three new models for preference voting and aggregation , 2007, J. Oper. Res. Soc..

[15]  Joe Zhu,et al.  Identifying Excesses and Deficits in Chinese Industrial Productivity (1953-1990): a Weighted Data Envelopment Analysis Approach , 1998 .

[16]  D Halden,et al.  A RISK-BASED FRAMEWORK FOR ASSESSMENT AND PRIORITISATION OF BRIDGES , 1996 .

[17]  H. Ishii,et al.  The appropriate total ranking method using DEA for multiple categorized purposes , 2002 .

[18]  Jian-Bo Yang,et al.  Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties , 2001, Eur. J. Oper. Res..

[19]  Xiang-Sun Zhang,et al.  A project evaluation system in the state economic information system of China , 1999 .

[20]  Toshiyuki Sueyoshi,et al.  A unified framework for the selection of a Flexible Manufacturing System , 1995 .

[21]  William M. Bowen,et al.  Subjective judgements and data envelopment analysis in site selection , 1990 .

[22]  Da Ruan,et al.  Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems , 2006, Inf. Sci..

[23]  Stuart M. Stein,et al.  Prioritizing Scour Vulnerable Bridges Using Risk , 1999 .

[24]  Peggy A. Johnson,et al.  Risk-Based Method for Selecting Bridge Scour Countermeasures , 2004 .

[25]  Zilla Sinuany-Stern,et al.  An AHP/DEA methodology for ranking decision making units , 2000 .

[26]  A. U.S.,et al.  Measuring the efficiency of decision making units , 2003 .

[27]  J. E. Harding,et al.  Bridge Management: Inspection, Maintenance, Assessment and Repair , 1990 .