In this paper a new method, SMAA-VIKOR, was proposed for stochastic multi-criteria decision making (MCDM) problems and the effectiveness of the method was shown by comparing literature data and a case study. In some decision making situations, decision makers (DMs) can’t or don’t express their preferences openly. In such cases stochastic multi-criteria acceptability analysis (SMAA-2) is applicable. The proposed method, SMAA-VIKOR, is the combination of the SMAA-2 and VIKOR methods. Our aim was to see if we can employ VIKOR in handling imprecise, uncertain data, in a word to compose stochastic VIKOR. The SMAA-VIKOR method was applied to the drug benefit-risk analysis problem in the literature. In addition, a case study evaluating the reverse logistic option selection problem is used to illustrate the proposed method. This study indicated that VIKOR could be used with uncertain and arbitrarily distributed values for weights and criteria measurements by using SMAA-VIKOR. The results show that SMAA-VIKOR gives more significant and consistent SMAA outputs and it can also be effective in helping logistic managers in decision making
Mots-clés : Stochastic multi-criteria decision making, acceptability analysis, VIKOR, reverse logistic
@article{RO_2017__51_2_375_0,
author = {Aydogan, Emel Kizilkaya and Ozmen, Mihrimah},
title = {The stochast{\i}c vikor method and its use in reverse logistic option selection problem},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {375--389},
publisher = {EDP-Sciences},
volume = {51},
number = {2},
year = {2017},
doi = {10.1051/ro/2016027},
mrnumber = {3657430},
zbl = {1365.90152},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2016027/}
}
TY - JOUR AU - Aydogan, Emel Kizilkaya AU - Ozmen, Mihrimah TI - The stochastıc vikor method and its use in reverse logistic option selection problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 375 EP - 389 VL - 51 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2016027/ DO - 10.1051/ro/2016027 LA - en ID - RO_2017__51_2_375_0 ER -
%0 Journal Article %A Aydogan, Emel Kizilkaya %A Ozmen, Mihrimah %T The stochastıc vikor method and its use in reverse logistic option selection problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 375-389 %V 51 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2016027/ %R 10.1051/ro/2016027 %G en %F RO_2017__51_2_375_0
Aydogan, Emel Kizilkaya; Ozmen, Mihrimah. The stochastıc vikor method and its use in reverse logistic option selection problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 2, pp. 375-389. doi : 10.1051/ro/2016027. http://archive.numdam.org/articles/10.1051/ro/2016027/
, , and , Evaluation of modelling techniques for forest site productivity prediction in contrasting ecoregions using stochastic multicriteria acceptability analysis (SMAA). J. Environ. Model. Seftw. 26 (2011) 929–937. | DOI
J.J. Andreu, The remanufacturing process, Internal paper from Manchester. Metropolitan University, UK (1997).
and , Material selection for femoral component of total knee replacement using comprehensive VIKOR. Mater. Des. 32 (2011) 4471–4477. | DOI
, A multicriteria decision aid methodology to deal with conflicting situations on the weights. Eur. J. Oper. Res. 26 (1986) 22–34. | DOI | MR | Zbl
, and , Deriving preference order of open pit mines equipment through MADM methods:Application of modified VIKOR method. Expert Syst. Appl. 38 (2011) 2550–2556. | DOI
, , and , Integral aided method for material selection based on quality function deployment and comprehensive VIKOR algorithm. Mater. Des. 47 (2013) 7–34. | DOI
J.R. Charnetski, The multiple attribute problem with partial information: the expected value and comparative hypervolume methods. Ph.D. thesis, University of Texas at Austin (1973).
and , Multiple-attribute decision making with partial information: the comparative hypervolume criterion. Nav. Res. Logist. Q. 25 (1978) 279–288. | DOI | MR | Zbl
, and , The SMAA-PROMETHEE methods. Eur. J. Oper. Res. 239 (2014) 514–522. | DOI | MR | Zbl
, Extension of VIKOR method in intuitionistic fuzzy environment for robot selection. Expert Syst. Appl. 38 (2011) 14163–8.
, An extension of MACBETH method for a fuzzy environment to analyze alternatives in reverse logistic for automobile tire wastes. Omega 42 (2014) 25–32. | DOI
and , Decision support for selecting a shortlist of electricity-saving options: A modifed SMAA approach. J. Orion 28 (2012) 99–116. | DOI
M. Ehrgott, J.R. Figueira and S. Greco, Trends in Multiple Criteria Decision Analysis. Springer (2010). | MR
R.Z. Farahani, S. Rezapour and L. Kardar, Logistic Operations and Management Concepts and Models. Elsevier (2011). | MR
, et al., Coastal zone management with stochastic multi-criteria analysis. J. Environ. Manage. 112 (2012) 252–266. | DOI
J.R. Figueira, S. Greco and M. Ehrgott, Multiple Criteria Decision Analysis: State of the Art Survey, Springer Sciences Business Media, Inc. New York (2005). | MR | Zbl
and , Application of fuzzy VIKOR and environmental impact analysis for material selection of an automotive component. Materials and Design 37 (2012) 478–486. | DOI
, , , and , Multicriteria decision making applied to waste recycling in Brazil. Omega 36 (2008) 395–404. | DOI
, , and , Determining the implementation order of a general plan by using a multicriteria method. J. Multi-Criteria Decision Anal. 7 (1998) 273–284. | DOI | Zbl
, and , A multiple criteria decision model for analyzing and choosing among different development patterns for the Helsinki cargo harbor. Socio-Econ. Plan. Sci. 33 (1999)1–23. | DOI
, and , Multicriteria decision support in a technology competition for cleaning polluted soil in Helsinki. J. Environ. Manage. 60 (2000) 339–348. | DOI
, and , The best vendor selection for conducting the recycled material based on a hybrid MCDM model combining DANP with VIKOR. Resources. Conservation and Recycling 66 (2012) 95–111. | DOI
, , , and , A comprehensive VIKOR method for material selection. Mater. Des. 32 (2011) 1215–21. | DOI
, , , and , Applying stochastic multicriteria acceptability analysis to forest ecosystem management with both cardinal and ordinal criteria. Forest Sci. 49 (2003) 928–937.
, , and , Using SMAA-2 method with dependent uncertainties for strategic forest planning. Forest Policy and Economics 9 (2006) 113–125. | DOI
and , Multicriteria renewable energy planning using an integrated fuzzy VIKOR & AHP methodology: The case of Istanbul. Energy 35 (2010) 2517–2527. | DOI
and , Fuzzy multiple criteria forestry decision making based on an integrated VIKOR and AHP approach. Expert Syst. Appl. 38 (2011) 7326–33. | DOI
and , Combining VIKOR with GRA techniques to evaluate service quality of airports under fuzzy environment. Expert Syst. Appl. 38 (2011) 1304–12. | DOI
and , SMAA-2: stochastic multicriteria acceptability analysis for group decision making. Oper. Res. 49 (2001) 444–454. | DOI | Zbl
and , Pseudo-criteria versus linear utility function in stochastic multi-criteria acceptability analysis. Eur. J. Oper. Res. 141 (2002) 454–469. | DOI | MR | Zbl
and , Stochastic multicriteria acceptability analysis using the data envelopment model. Eur. J. Oper. Res. 170 (2006) 241–252. | DOI | Zbl
R. Lahdelma and P. Salminen, Ordinal measurements with interval constraints in the EIA process for siting a waste storage area. In Real-Time and Deliberative Decision Making: Application to Emerging Stressors (2008) 397–414.
and , Prospect theory and stochastic multicriteria acceptability analysis (SMAA). Omega 37 (2009) 961–971. | DOI
and , The shape of the utility or value function in stochastic multicriteria acceptability analysis. OR Spectrum 34 (2012)785–802. | DOI | MR | Zbl
, and , SMAA-Stochastic multiobjective acceptability analysis. Eur. J. Oper. Res. 106 (1998) 137–143. | DOI
R. Lahdelma, P. Salminen, A. Simonen and J. Hokkanen, Choosing a reparation method for a landfill using the SMAA-O multicriteria method. In vol. 507 of Multiple Criteria Decision Making in the New Millenium. Lect. Notes Econ. Math. Syst. Springer-Verlag, Berlin (2001) 380–389. | Zbl
, and , Locating a waste treatment facility by using stochastic multicriteria acceptability analysis with ordinal criteria. Eur. J. Oper. Res. 142 (2002) 345–356. | DOI | Zbl
, and , Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA). Eur. J. Oper. Res. 147 (2003) 117–127. | DOI | Zbl
J.E. Lenz, Management of production cells. Edited by Salvendy G. Handbook of Industrial Engineering, 2 edition. Wiley, New York (1995).
and , Developing a hybrid multi-criteria model for selection of outsourcing providers. Expert Syst. Appl. 37 (2010) 3755–3761. | DOI
, , and , Induced aggregation operators in the VIKOR method and its application in material selection. Appl. Math. Model. 37 (2013) 6325–38. | DOI | MR
, and , Material selection using an interval 2-tuple linguistic VIKOR method considering subjective and objective weights. Mater. Design 52 (2013) 158–167. | DOI
, , and , Multicriteria decision support in the liberated energy market. J. Multi-Criteria Decision Anal. 12 (2003) 27–42. | DOI
, , and , A fuzzy extension of VIKOR for target network selection in heterogeneous wireless environments. Phys. Commun. 7 (2013) 145–155. | DOI
, , and , Decision support for centralizing cargo at a Moroccan airport hub using stochastic multicriteria system of nanomaterials. J. Nanoparticle Res. 11 (2009) 757–766.
and , Group decision making on water resources based on analysis of individual rankings. Omega 40 (2012) 42–52. | DOI
, , , A method based on smaa-topsis for stochastic multi-criteria decision making and a real world application. Int. J. Inform. Tech. Decis. Making 13 (2014) 957. | DOI
, A Compromise Solution in Water Resources Planning. Water Resour. Manage. 23 (2009) 1549–1561. | DOI
, Fuzzy VIKOR with an application to water resources planning. Expert. Syst. Appl. (2011) 38 12983–90. | DOI
, and , A goal programming model for paper recycling system. Omega 36 (2008) 405–417. | DOI
S.D. Pohekar and M. Ramachandran, Application of multi-criteria decision making to sustainable energy planning. A review, Renew. Sustain. Energy Rev. (2004) 365–381.
and , Extended VIKOR method in comparison with outranking methods. Eur. J. Oper. Res. 178 (2007) 514–529. | DOI | Zbl
, and , Analyzing alternatives in reverse logistic for end-of-life computers: ANP and balanced scorecard approach. Comput. Ind. Eng. 48 (2005) 327–356. | DOI
, Using stochastic multi-criteria acceptability analysis methods in SEA: an application to the Park of Trasimeno, Italy. J. Environ. Plan. Manage. 55 (2012) 177–189. | DOI
and , Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 156 (2004) 445–455. | DOI | Zbl
T.L. Saaty, The Analytic Hierarchy Process. McGraw-Hill, New York (1980). | MR | Zbl
, Multi-criteria decision-making in the selection of a renewable energy project in Spain: The Vikor method. J. Renew. Energy 36 (2011) 498–502. | DOI
and , A survey on stochastic multicriteria acceptability analysis methods. J. Multi-Criteria Decision Anal. 15 (2008) 1–14. | DOI | Zbl
and , Implementing stochastic multicriteria acceptability analysis. Eur. J. Oper. Res. 178 (2007) 500–513. | DOI | Zbl
T. Tervonen, J. Figueira, R. Lahdelma and P. Salminen, Modelling MCDA group preferences for public human resource management: evaluating the quality of education at the Department of Information Technology, the University of Turku (Finland). Research Report 22/2004 of The Institute of Systems Engineering and Computers (INESC-Coimbra), Coimbra, Portugal (2004).
T. Tervonen, G.F. Barberis, J.R. Figueira and M.E. Rodenas, Siting a university kindergarten in Madrid with SMAA-III. Working paper 12/2007 of CEG-IST. Technical University of Lisbon, Portugal (2007).
, and , Elevator planning with stochastic multicriteria acceptability analysis. Omega 36 (2008) 352–362. | DOI
, , , , and , Risk-based classification system of nanomaterials. J. Nanoparticle Res. 11 (2009) 757–766. | DOI
, , , and , A stochastic method for robustness analysis in sorting problems. Eur. J. Oper. Res. 192 (2009) 236–242. | DOI | Zbl
T. Tervonen, H.L. Hillege, E. Buskens and D. Postmus, A-State-of-the- Art Multi Criteria Model for Drug Benefit-Risk Analysis, Working Report (2010). Available at http://drugis.org/files/tervonen-antidep-SOM-final.pdf.
G.H. Tzeng and J.J. Huang, Multiple Attribute Decision Making Methods and applications. CRC Press (2011) 1–4. | MR | Zbl
, and , Flexible decision modeling of reverse logistic system: a value adding MCDM approach for alternative selection. Robotics and Computer-Integrated Manufacturing 25 (2009) 460–469. | DOI
and , Brand marketing for creating brand value based on a MCDM model combining DEMATEL with ANP and VIKOR methods. Expert Syst. Appl. 39 (2012) 5600–5615. | DOI
, A class of solutions for group decision problems. Manage. Sci. 19 (1973) 936–946. | MR | Zbl
and , Group decision making process for insurance company selection problem with extended VIKOR method under fuzzy environment. Expert Syst. Appl. 39 (2012) 3702–3707. | DOI
M, Zeleny, Multiple Criteria Decision Making. McGraw-Hill, New York (1982). | Zbl
Ju and , Extension of VIKOR method for multi-criteria group decision making problem with linguistic information. Appl. Math. Model. 33 (2013) 2257–2262. | MR
Cité par Sources :
