A common-weight DEA model for multi-criteria ABC inventory classification with quantitative and qualitative criteria
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1775-1789.

ABC analysis is a famous technique for inventory classification. However, this technique on the inventory classification only considering one indicator even though other important factors may affect the classification. To address this issue, researchers have proposed multiple criteria inventory classification (MCIC) solutions based on data envelopment analysis (DEA)-like methods. However, previous models almost evaluate items by different weight sets, and the index system only contains quantitative criteria and output indicators. To avoid these shortcomings, we propose an improved common-weight DEA model for MCIC issue. This model simultaneously considers quantitative and qualitative criteria as well as establishes a comprehensive index system that includes inputs and outputs. Apart from its improved discriminating power and lack of subjectivity, this non-parametric and linear programming model provides the performance scores of all items through a single computation. A case study is performed to validate and compare the performance of this new model with that of traditional ABC analysis, DEA–CCR and DEA–CI. The results show that apart from the highly improved discriminating power and significant reduction in computational burden, the proposed model has achieved a more comprehensive ABC inventory classification than the traditional models.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018105
Classification : 90B30, 90B50
Mots-clés : ABC inventory classification, multiple criteria inventory classification (MCIC), data envelopment analysis (DEA), common-weight, qualitative criteria
An, Qingxian 1 ; Wen, Yao 1 ; Hu, Junhua 1 ; Lei, Xiyang 1

1
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     author = {An, Qingxian and Wen, Yao and Hu, Junhua and Lei, Xiyang},
     title = {A common-weight {DEA} model for multi-criteria {ABC} inventory classification with quantitative and qualitative criteria},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1775--1789},
     publisher = {EDP-Sciences},
     volume = {53},
     number = {5},
     year = {2019},
     doi = {10.1051/ro/2018105},
     mrnumber = {4017404},
     zbl = {1430.90006},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro/2018105/}
}
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An, Qingxian; Wen, Yao; Hu, Junhua; Lei, Xiyang. A common-weight DEA model for multi-criteria ABC inventory classification with quantitative and qualitative criteria. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1775-1789. doi : 10.1051/ro/2018105. http://archive.numdam.org/articles/10.1051/ro/2018105/

[1] J. Alikhani-Koopaei and A. Hadi-Vencheh, Using DEA to compute most favourable and least favourable sets of weights in ABC inventory classification. Int. J. Ind. Math. 2 (2010) 329–337.

[2] G.R. Amin, M. Toloo and B. Sohrabi, An improved MCDM DEA model for technology selection. Int. J. Prod. Res. 44 (2006) 2681–2686. | DOI | Zbl

[3] G.R. Amin, A note on “an improved MCDM DEA model for technology selection”. Int. J. Prod. Res. 46 (2008) 7073–7075. | DOI

[4] G.R. Amin, Comments on finding the most efficient DMUs in DEA: an improved integrated model. Compt. Ind. Eng. 56 (2009) 1701–1702. | DOI

[5] G.R. Amin and A. Emrouznejad, A new DEA model for technology selection in the presence of ordinal data. Int. J. Adv. Manuf. Tech. 65 (2013) 1567–1572. | DOI

[6] Q. An, H. Chen, B. Xiong, J. Wu and L. Liang, Target intermediate products setting in a two-stage system with fairness concern. Omega 73 (2017) 49–59. | DOI

[7] Q. An, Y. Wen, T. Ding and Y. Li, Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value method. Omega 85 (2019) 16–25. | DOI

[8] F. Arikan and S. Citak, Multiple criteria inventory classification in an electronics firm. Int. J. Inf. Tech. Decis. 16 (2017) 315–331. | DOI

[9] K. Balaji and V.S. Kumar, Multicriteria inventory ABC classification in an automobile rubber components manufacturing industry. Procedia CIRP 17 (2014) 463–468. | DOI

[10] A. Charnes, W.W. Cooper and E. Rhodes, Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444. | DOI | MR | Zbl

[11] J.X. Chen, Peer-estimation for multiple criteria ABC inventory classification. Comput. Oper. Res. 38 (2011) 1784–1791. | DOI | MR | Zbl

[12] W.D. Cook, M. Kress and L.M. Seiford, Data envelopment analysis in the presence of both quantitative and qualitative factors. J. Oper. Res. Soc. 47 (1996) 945–953. | DOI | Zbl

[13] N.F. Cui and J.J. Lu, ABC classification model for spare parts based on DEA. Logist. Technol. 26 (2007) 55–58.

[14] M.R. Douissa and K. Jabeur, A new model for multi-criteria ABC inventory classification: PROAFTN method. Proc. Comput. Sci. 96 (2016) 550–559. | DOI

[15] L. Fang and H. Li, Multi-criteria decision analysis for efficient location-allocation problem combining DEA and goal programming. RAIRO: OR 49 (2015) 753–772. | DOI | Numdam | MR | Zbl

[16] B.E. Flores and D.C. Whybark, Multiple criteria ABC analysis. Int. J. Oper. Prod. Manage. 6 (1986) 38–46. | DOI

[17] B.E. Flores and D.C. Whybark, Implementing multiple criteria ABC analysis. J. Oper. Manage. 7 (1987) 79–85. | DOI

[18] B.E. Flores, D.L. Olson and V.K. Dorai, Management of multicriteria inventory classification. Math. Comp. Model. Dyn. 16 (1992) 71–82. | DOI | Zbl

[19] Y. Fu, K.K. Lai, Y. Miao and J.W. Leung, A distance-based decision-making method to improve multiple criteria ABC inventory classification. Int. T. Oper. Res. 23 (2015) 1–10. | MR

[20] V.A. Hadi-Vencheh, An improvement to multiple criteria ABC inventory classification. Analysis of a two-class continuous-time queueing model with two tandem dedicated servers. Eur. J. Oper. Res. 201 (2010) 962–965. | DOI | Zbl

[21] V.A. Hadi-Vencheh and A. Mohamadghasemi, A fuzzy AHP–DEA approach for multiple criteria ABC inventory classification. Expert. Syst. Appl. 38 (2011) 3346–3352. | DOI

[22] S.M. Hatefi and S.A. Torabi, A common weight MCDA–DEA approach to construct composite indicators. Ecol. Econ. 70 (2010) 114–120. | DOI

[23] S.M. Hatefi, S.A. Torabi and P. Bagheri, Multi-criteria ABC inventory classification with mixed quantitative and qualitative criteria. Int. J. Prod. Res. 52 (2013) 776–786. | DOI

[24] S.M. Hatefi and S.A. Torabi, A common weight linear optimization approach for multicriteria ABC inventory classification. Adv. Decis. Sci. 2015 (2015) 1–11. | MR

[25] A. Hatami-Marbini, M. Toloo, An extended multiple criteria data envelopment analysis model. Expert. Syst. Appl. 73 (2017) 201–219. | DOI

[26] Q. Iqbal and D. Malzahn, Evaluating discriminating power of single-criteria and multi-criteria models towards inventory classification. Comput. Ind. Eng. 104 (2017) 219–223. | DOI

[27] H. Kaabi and K. Jabeur, TOPSIS using a mixed subjective-objective criteria weights for ABC inventory classification. In: 2015 15th International Conference on Intelligent Systems Design and Applications (ISDA), IEEE (2015) 473–478. | DOI

[28] H. Kaabi and K. Jabeur, A new hybrid weighted optimization model for multi criteria ABC inventory classification. In: Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015, Springer, Cham (2016) 261–270. | DOI

[29] E.E. Karsak and S.S. Ahiska, Practical common weight multi-criteria decision-making approach with an improved discriminating power for technology selection. Int. J. Prod. Res. 43 (2005) 1537–1554. | DOI | Zbl

[30] E.E. Karsak and S.S. Ahiska, A common-weight MCDM framework for decision problems with multiple inputs and outputs. International Conference on Computational Science and Its Applications. In: Vol. 4705 of Lecture Notes in Computer Science. Springer, Berlin, Heidelberg (2007) 779–790.

[31] E.E. Karsak and S.S. Ahiska, Improved common weight MCDM model for technology selection. Int. J. Prod. Res. 46 (2008) 6933–6944. | DOI

[32] M. Ketkar and S.V. Omkarprasad, Developing ordering policy based on multiple inventory classification schemes. Proc. Stat. Soc. Behav. Sci. 133 (2014) 180–188. | DOI

[33] K.F. Lam, In the determination of the most efficient decision making unit in data envelopment analysis. Compt. Ind. Eng. 79 (2015) 76–84. | DOI

[34] J. Liu, X. Liao, W. Zhao and N. Yang, A classification approach based on the outranking model for multiple criteria ABC analysis. Omega 61 (2016) 19–34. | DOI

[35] W.L. Ng, A simple classifier for multiple criteria ABC analysis. Eur. J. Oper. Res. 177 (2007) 344–353. | DOI | Zbl

[36] F.Y. Partovi and J. Burton, Using the analytic hierarchy process for ABC analysis. Int. J. Oper. Prod. Manage. 13 (1993) 29–44. | DOI

[37] F.Y. Partovi and M. Anandarajan, Classifying inventory using an artificial neural network approach. Comput. Ind. Eng. 41 (2002) 389–404. | DOI

[38] J.H. Park, H.R. Bae and S.M. Lim, Multi-criteria ABC inventory classification using the cross-efficiency method in DEA. J. Korean Inst. Ind. Eng. 37 (2011) 358–366.

[39] Y. Ping and T.C. Du, The application of CI-based DEA model in ABC inventory classification and management. J. Beijing Inst. Petro-Chem. Technol. 22 (2014) 49–53.

[40] R. Ramanathan, ABC inventory classification with multiple-criteria using weighted linear optimization. Comput. Oper. Res. 33 (2006) 695–700. | DOI | Zbl

[41] S. Ramezani-Tarkhorani, M. Khodabakhshi, S. Mehrabian and F. Nuri-Bahmani, Ranking decision-making units using common weights in DEA. Appl. Math. Model. 38 (2014) 3890–3896. | DOI | MR | Zbl

[42] M. Salahi and M. Toloo, In the determination of the most efficient decision making unit in data envelopment analysis: a comment. Compt. Ind. Eng. 104 (2017) 216–218. | DOI

[43] S.A. Torabi, S.M. Hatefi and B.S. Pay, ABC inventory classification in the presence of both quantitative and qualitative criteria. Comput. Ind. Eng. 63 (2012) 530–537. | DOI

[44] M. Toloo, The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players. Appl. Math. Model. 38 (2014) 5334–5346. | DOI | MR | Zbl

[45] M. Toloo, Selecting and full ranking suppliers with imprecise data: A new DEA method. Int. J. Adv. Manuf. Technol. 74 (2014) 1141–1148. | DOI

[46] M. Toloo, An epsilon-free approach for finding the most efficient unit in DEA. Appl. Math. Model. 38 (2014) 3182–3192. | DOI | MR | Zbl

[47] M. Toloo, A technical note on Erratum to “Finding the most efficient DMUs in DEA: An improved integrated model” [Comput. Ind. Eng. 52 (2007) 71–77]. Comput. Ind. Eng. 83 (2015) 261–263. | DOI

[48] M. Toloo, Alternative minimax model for finding the most efficient unit in data envelopment analysis. Comput. Ind. Eng. 81 (2015) 186–194. | DOI

[49] M. Toloo, M. Tavana and F.J. Santos-Arteaga, An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights. Cent. Eur. J. Oper. Res. 4 (2017) 1–18. | MR

[50] M. Toloo and M. Tavana, A novel method for selecting a single efficient unit in data envelopment analysis without explicit inputs/outputs. Ann. Oper. Res. 253 (2017) 657–681. | DOI | MR | Zbl

[51] M. Toloo and M. Salahi, A powerful discriminative approach for selecting the most efficient unit in DEA. Compt. Ind. Eng. 115 (2018) 269–277. | DOI

[52] M. Toloo, S. Nalchigar and B. Sohrabi, Selecting most efficient information system projects in presence of user subjective opinions: a DEA approach. Cent. Eur. J. Oper. Res. 26 (2018) 1027–1051. | DOI | MR | Zbl

[53] C.Y. Tsai, S.W. Yeh, A multiple objective particle swarm optimization approach for inventory classification. Int. J. Prod. Econ. 114 (2008) 656–666. | DOI

[54] J. Wu, Y. Yu, Q. Zhu, Q. An and L. Liang, Closest target for the orientation-free context-dependent DEA under variable returns to scale. J. Oper. Res. Soc. 69 (2018) 1819–1833. | DOI

[55] M.C. Yu, Multi-criteria ABC analysis using artificial-intelligence-based classification techniques. Expert. Syst. Appl. 38 (2011) 3416–3421. | DOI

[56] J. Zhu, Imprecise data envelopment analysis (IDEA): a review and improvement with an application. Eur. J. Oper. Res. 144 (2003) 513–529. | DOI | MR | Zbl

[57] P. Zhou and L. Fan, A note on multi-criteria ABC inventory classification using weighted linear optimization. Eur. J. Oper. Res. 182 (2007) 1488–1491. | DOI | Zbl

[58] P. Zhou, B.W. Ang and K.L. Poh, A mathematical programming approach to constructing composite indicators. Ecol. Econ. 62 (2007) 291–297. | DOI

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