A DEA-TOPSIS method for multiple criteria decision analysis in emergency management

A hybrid approach of DEA (data envelopment analysis) and TOPSIS (technique for order performance (preference) by similarity to ideal solution) is proposed for multiple criteria decision analysis in emergency management. Two DEA-based optimization models are constructed to facilitate identifying parameter information regarding criterion weights and quantifying qualitative criteria in TOPSIS. An emergency management case study utilizing data from the Emergency Management Australia (EMA) Disasters Database is provided to demonstrate the feasibility of the proposed analysis procedure.

[1]  David F. Pyke,et al.  Inventory management and production planning and scheduling , 1998 .

[2]  K. Hipel,et al.  A multiple criteria sequential sorting procedure , 2008 .

[3]  Hsu-Shih Shih,et al.  Incremental analysis for MCDM with an application to group TOPSIS , 2008, Eur. J. Oper. Res..

[4]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure , 2008 .

[5]  C. Hwang,et al.  TOPSIS for MODM , 1994 .

[6]  E. Stanley Lee,et al.  An extension of TOPSIS for group decision making , 2007, Math. Comput. Model..

[7]  T. Sexton,et al.  Data Envelopment Analysis: Critique and Extensions , 1986 .

[8]  Theodor J. Stewart,et al.  Relationships between Data Envelopment Analysis and Multicriteria Decision Analysis , 1996 .

[9]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  Keith W. Hipel,et al.  Introduction to the Special Issue on Disaster Risk Reduction in the Post 9-11 Security Environment , 2009 .

[11]  M. Bohanec,et al.  The Analytic Hierarchy Process , 2004 .

[12]  Kouichi Taji,et al.  Group decision support for hazards planning and emergency management: A Group Analytic Network Process (GANP) approach , 2007, Math. Comput. Model..

[13]  Matthew J. Liberatore,et al.  The analytic hierarchy process in medical and health care decision making: A literature review , 2008, Eur. J. Oper. Res..

[14]  Andrew P. Sage,et al.  ARIADNE: A knowledge-based interactive system for planning and decision support , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[15]  Chen-Tung Chen,et al.  Extensions of the TOPSIS for group decision-making under fuzzy environment , 2000, Fuzzy Sets Syst..

[16]  John Seydel,et al.  Data envelopment analysis for decision support , 2006, Ind. Manag. Data Syst..

[17]  Gwo-Hshiung Tzeng,et al.  Combining grey relation and TOPSIS concepts for selecting an expatriate host country , 2004, Math. Comput. Model..

[18]  Keith W. Hipel,et al.  An index aggregation approach to comparing the overall performance of emerging and developed countries , 2009 .

[19]  Rodney H. Green,et al.  Efficiency and Cross-efficiency in DEA: Derivations, Meanings and Uses , 1994 .

[20]  Patrick M. Fitzpatrick.  Advanced Calculus: A Course in Mathematical Analysis , 1995 .

[21]  S French,et al.  Multicriteria Methodology for Decision Aiding , 1996 .

[22]  Keith W. Hipel,et al.  Multiple criteria classification with an application in water resources planning , 2006, Comput. Oper. Res..

[23]  Gyutai Kim,et al.  Identifying investment opportunities for advanced manufacturing systems with comparative-integrated performance measurement , 1997 .

[24]  A. G. Lockett,et al.  Judgemental modelling based on geometric least square , 1988 .

[25]  Keith W. Hipel,et al.  A case-based distance model for multiple criteria ABC analysis , 2008, Comput. Oper. Res..

[26]  Soung Hie Kim,et al.  Establishing dominance and potential optimality in multi-criteria analysis with imprecise weight and value , 2001, Comput. Oper. Res..

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

[28]  Wade D. Cook,et al.  A multiple-criteria composite index model for quantitative and qualitative data , 1994 .

[29]  Wade D. Cook,et al.  Ordinal Information and Preference Structures: Decision Models and Applications , 1992 .

[30]  Ali Emrouznejad,et al.  Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years , 2008 .

[31]  Jian-Bo Yang,et al.  Multiple Attribute Decision Making , 1998 .

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

[33]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[34]  George D. Haddow,et al.  Introduction to Emergency Management , 2003 .

[35]  Wan Lung Ng,et al.  Production , Manufacturing and Logistics A simple classifier for multiple criteria ABC analysis , 2006 .

[36]  Kwai-Sang Chin,et al.  A new data envelopment analysis method for priority determination and group decision making in the analytic hierarchy process , 2009, Eur. J. Oper. Res..

[37]  Kevin W. Li,et al.  Enhancing National Security and Energy Security in the Post-911 Era: Group Decision Support for Strategic Policy Analysis under Conditions of Conflict , 2009 .

[38]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems , 2005, Appl. Math. Comput..

[39]  Yinfei Li,et al.  Optimal traffic signal control for an $M\times N$ traffic network , 2008 .

[40]  F. B. Vernadat,et al.  Decisions with Multiple Objectives: Preferences and Value Tradeoffs , 1994 .

[41]  J. Doyle,et al.  Multiattribute Choice for the Lazy Decision Maker: Let the Alternatives Decide! , 1995 .