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

Abstract

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.

Keywords

Multiple criteria decision analysis / multiple criteria ranking / DEA / TOPSIS / emergency management

References

[1] Abo-Sinna M.A., Amer A.H.. Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems. Applied Mathematics and Computation, 2005, 162(1): 243-256.

[2] Abo-Sinna M.A., Amerb A.H., Ibrahim A.S.. Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure. Applied Mathematical Modelling, 2008, 32(3): 292-302.

[3] Brennan G.. The unrepresentative swill feel their oats. Policy, 1998, 14: 3-9.

[4] Charnes A., Cooper W.W., Rhodes E.. Measuring efficiency of decisionmaking units. European Journal of Operational Research, 1978, 2: 428-449.

[5] Chen C.T.. Extensions of the TOPSIS for group decision-making under environment. Fuzzy Sets and Systems, 2000, 114: 1-9.

[6] Chen M.F., Tzeng G.H.. Combining gray relation and TOPSIS concepts for selecting an expatriate host country. Mathematical and Computer Modelling, 2004, 40: 1473-1490.

[7] Chen Y., Kilgour D.M., Hipel K.W.. Multiple criteria classification with an application in water resources planning. Computers and Operations Research, 2006, 33: 3301-3323.

[8] Chen Y., Kilgour D.M., Hipel K.W.. Multiple criteria sorting method with strategic flexibility. Journal of Industrial and Management Optimization, 2008, 4: 407-423.

[9] Chen Y., Li K.W., Kilgour D.M., Hipel K.W.. A case-based distance model for multiple criteria ABC analysis. Computers and Operations Research, 2008, 35: 776-796.

[10] Chen Y., Su X., Hipel K.W.. An index aggregation approach to comparing the overall performance of emerging and developed countries. Socio-Economic Planning Sciences, 2009, 43: 25-39.

[11] Cook W., Kress M.. Ordinal Information and Preference Structures: Decision Models and Applications, 1991, Englewood Cliffs, NJ: Prentice-Hall

[12] Cook W., Kress M.. A multiple-criterion composite index model for quantitative and qualitative data. European Journal of Operational Research, 1994, 78: 367-379.

[13] Department of the Environment, Transport and the Regions (DETR). (1998). A New Deal for Trunk Roads in England: Understanding the New Approach to Appraisal. London, UK

[14] Doyle J., Green R.. Efficiency and cross-efficiency in DEA: derivations, meanings and uses. Operational Research Society, 1994, 45: 567-578.

[15] Doyle J.. Multiattribute choice for the lazy decision maker: let the alternatives decide!. Organizational Behavior and Human Decision Processes, 1995, 62: 87-100.

[16] Emergency Management Australia (EMA). (2009). Emergency management Australia disasters database. Available via DIALOG. http://www.ema.gov.au. Cited on August 31, 2009

[17] Emrouznejad A., Parker B.R., Tavares G.. Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA. Socio-Economic Planning Sciences, 2008, 42: 151-157.

[18] Environmental Protection Agency (EPA). (2009). Databases and tools for emergency management. Available via DIALOG. http://www.epa.gov/oem/tools.htm. Cited on August 31, 2009

[19] Eum Y.S., Park K.S., Soung S.H.. Establishing dominance and potential optimality in multi-criteria analysis with imprecise weight and value. Computers and Operations Research, 2001, 28: 397-409.

[20] Figueira J., Greco S., Ehrgott M.. Multiple Criteria Decision Analysis: State of the Art Surveys, 2005, New York: Springer.

[21] Fitzpatrick P.M.. Advanced Calculus: A Course in Mathematical Analysis, 1995, Boston: Thomson Brooks-Cole

[22] Haddow G.D., Bullock J.A.. Introduction to Emergency Management, 2004, Amsterdam: Butterworth-Heinemann

[23] Hwang C.L., Yoon K.. Multiple Attribute Decision Making, 1981, Berlin: Springer-Verlag.

[24] Islei G., Lockett A.G.. Judgemental modelling based on geometric least square. European Journal of Operational Research, 1988, 36: 27-35.

[25] Lai Y.J., Liu T.Y., Hwang C.L.. TOPSIS for MODM. European Journal of Operational Research, 1994, 76: 486-500.

[26] Levy J.K., Hipel K.W.. Introduction to the special issue on disaster risk reduction in the post 9–11 security environment. Group Decision and Negotiation, 2009, 18: 299-301.

[27] Levy J.K., Tajib K.. Group decision support for hazards planning and emergency management: A group analytic network process (GANP) approach. Mathematical and Computer Modelling, 2007, 46: 906-917.

[28] Li K.W., Levy J.K., Buckley P.. Enhancing national security and energy security in the post-911 era: group decision support for strategic policy analysis under conditions of conflict. Group Decision and Negotiation, 2009, 18: 369-386.

[29] Liberatore M.J., Nydick R.L.. The analytic hierarchy process in medical and health care decision making: A literature review. European Journal of Operational Research, 2008, 189: 194-207.

[30] LINDO Systems. Inc. (Lindo). (2009). Lingo software. Available via DIALOG. http://www.lindo.com. Cited on August 31, 2009

[31] Ng W.L.. A simple classifier for multiple criteria ABC analysis. European Journal of Operational Research, 2007, 177: 344-353.

[32] Keeney R.L., Raiffa H.. Decisions with Multiple Objectives: Preferences and Value Tradeoffs, 1976, New York: Wiley

[33] Kim G., Park C.S., Yoon K.P.. Identifying investment opportunities for advanced manufacturing systems with comparative-integrated performance measurement. International Journal of Production Economics, 1997, 50: 23-33.

[34] Parliament of Australia (PA). (2009). Available via DIALOG. http://www.aph. gov.au. Cited on August 31, 2009

[35] Public Safety Canada (PSC). (2009). Canadian disaster database. Available via DIALOG. http://www.publicsafety.gc.ca/res/em/cdd/index-en.asp. Cited on August 31, 2009

[36] Ramanathan R.. Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process. Computers and Operations Research, 2006, 33: 1289-1307.

[37] Roy B.. Multicriteria Methodology for Decision Aiding, 1996, Dordrecht: Kluwer.

[38] Saaty T.L.. Analytic Hierarchy Process, 1980, New York: McGraw Hill.

[39] Sage A.P., White C.C.. ARIADNE: a knowledge-based interactive system for planning and decision support. IEEE Transactions on Systems, Man and Cybernetics, 1984, 14: 35-47.

[40] Sexton T., Silkman R., Hogan A.. Silkman R.. Data envelopment analysis: critique and extensions. Measuring Efficiency: an Assessment of Data Envelopment Analysis, 1986, San Francisco: Jossey-Bass

[41] Seydel J.. Data envelopment analysis for decision support. Industrial Management & Data Systems, 2006, 106: 81-95.

[42] Shih H.S., Shyur H.J., Lee E.S.. An extension of TOPSIS for group decision making. Mathematical and Computer Modelling, 2007, 45: 801-813.

[43] Shih H.S.. Incremental analysis for MCDM with an application to group TOPSIS. European Journal of Operational Research, 2008, 186: 720-734.

[44] Silver E.A., Pyke D.F., Peterson R.. Inventory Management and Production Planning and Scheduling, 1998, 3rd Edition New York: Wiley

[45] Stewart T.. Relationships between data envelopment analysis and multicriteria decision analysis. Journal of the Operational Research Society, 1996, 47: 654-665.

[46] Wang Y.M., Chin K.S.. A new data envelopment analysis method for priority determination and group decision making in the analytic hierarchy process. European Journal of Operational Research, 2009, 195: 239-250.

[47] Wikipedia. (2009). Emergency management. Available via DIALOG. http://en.wikipedia.org/wiki/Emergencyάn agement. Cited on August 31, 2009

[48] von Winterfeldt D., Edwards W.. Decision Analysis and Befuwioral Research, 1986, New York: Cambridge University Press