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.
Accepté le :
DOI : 10.1051/ro/2018105
Mots-clés : ABC inventory classification, multiple criteria inventory classification (MCIC), data envelopment analysis (DEA), common-weight, qualitative criteria
@article{RO_2019__53_5_1775_0, 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://www.numdam.org/articles/10.1051/ro/2018105/} }
TY - JOUR AU - An, Qingxian AU - Wen, Yao AU - Hu, Junhua AU - Lei, Xiyang TI - A common-weight DEA model for multi-criteria ABC inventory classification with quantitative and qualitative criteria JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 1775 EP - 1789 VL - 53 IS - 5 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018105/ DO - 10.1051/ro/2018105 LA - en ID - RO_2019__53_5_1775_0 ER -
%0 Journal Article %A An, Qingxian %A Wen, Yao %A Hu, Junhua %A Lei, Xiyang %T A common-weight DEA model for multi-criteria ABC inventory classification with quantitative and qualitative criteria %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 1775-1789 %V 53 %N 5 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2018105/ %R 10.1051/ro/2018105 %G en %F RO_2019__53_5_1775_0
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://www.numdam.org/articles/10.1051/ro/2018105/
[1] Using DEA to compute most favourable and least favourable sets of weights in ABC inventory classification. Int. J. Ind. Math. 2 (2010) 329–337.
and ,[2] An improved MCDM DEA model for technology selection. Int. J. Prod. Res. 44 (2006) 2681–2686. | DOI | Zbl
, and ,[3] A note on “an improved MCDM DEA model for technology selection”. Int. J. Prod. Res. 46 (2008) 7073–7075. | DOI
,[4] Comments on finding the most efficient DMUs in DEA: an improved integrated model. Compt. Ind. Eng. 56 (2009) 1701–1702. | DOI
,[5] A new DEA model for technology selection in the presence of ordinal data. Int. J. Adv. Manuf. Tech. 65 (2013) 1567–1572. | DOI
and ,[6] Target intermediate products setting in a two-stage system with fairness concern. Omega 73 (2017) 49–59. | DOI
, , , and ,[7] Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value method. Omega 85 (2019) 16–25. | DOI
, , and ,[8] Multiple criteria inventory classification in an electronics firm. Int. J. Inf. Tech. Decis. 16 (2017) 315–331. | DOI
and ,[9] Multicriteria inventory ABC classification in an automobile rubber components manufacturing industry. Procedia CIRP 17 (2014) 463–468. | DOI
and ,[10] Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444. | DOI | MR | Zbl
, and ,[11] Peer-estimation for multiple criteria ABC inventory classification. Comput. Oper. Res. 38 (2011) 1784–1791. | DOI | MR | Zbl
,[12] Data envelopment analysis in the presence of both quantitative and qualitative factors. J. Oper. Res. Soc. 47 (1996) 945–953. | DOI | Zbl
, and ,[13] ABC classification model for spare parts based on DEA. Logist. Technol. 26 (2007) 55–58.
and ,[14] A new model for multi-criteria ABC inventory classification: PROAFTN method. Proc. Comput. Sci. 96 (2016) 550–559. | DOI
and ,[15] Multi-criteria decision analysis for efficient location-allocation problem combining DEA and goal programming. RAIRO: OR 49 (2015) 753–772. | DOI | Numdam | MR | Zbl
and ,[16] Multiple criteria ABC analysis. Int. J. Oper. Prod. Manage. 6 (1986) 38–46. | DOI
and ,[17] Implementing multiple criteria ABC analysis. J. Oper. Manage. 7 (1987) 79–85. | DOI
and ,[18] Management of multicriteria inventory classification. Math. Comp. Model. Dyn. 16 (1992) 71–82. | DOI | Zbl
, and ,[19] A distance-based decision-making method to improve multiple criteria ABC inventory classification. Int. T. Oper. Res. 23 (2015) 1–10. | MR
, , and ,[20] 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] A fuzzy AHP–DEA approach for multiple criteria ABC inventory classification. Expert. Syst. Appl. 38 (2011) 3346–3352. | DOI
and ,[22] A common weight MCDA–DEA approach to construct composite indicators. Ecol. Econ. 70 (2010) 114–120. | DOI
and ,[23] Multi-criteria ABC inventory classification with mixed quantitative and qualitative criteria. Int. J. Prod. Res. 52 (2013) 776–786. | DOI
, and ,[24] A common weight linear optimization approach for multicriteria ABC inventory classification. Adv. Decis. Sci. 2015 (2015) 1–11. | MR
and ,[25] An extended multiple criteria data envelopment analysis model. Expert. Syst. Appl. 73 (2017) 201–219. | DOI
, ,[26] Evaluating discriminating power of single-criteria and multi-criteria models towards inventory classification. Comput. Ind. Eng. 104 (2017) 219–223. | DOI
and ,[27] 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
and ,[28] 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
and ,[29] 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
and ,[30] 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.
and ,[31] Improved common weight MCDM model for technology selection. Int. J. Prod. Res. 46 (2008) 6933–6944. | DOI
and ,[32] Developing ordering policy based on multiple inventory classification schemes. Proc. Stat. Soc. Behav. Sci. 133 (2014) 180–188. | DOI
and ,[33] In the determination of the most efficient decision making unit in data envelopment analysis. Compt. Ind. Eng. 79 (2015) 76–84. | DOI
,[34] A classification approach based on the outranking model for multiple criteria ABC analysis. Omega 61 (2016) 19–34. | DOI
, , and ,[35] A simple classifier for multiple criteria ABC analysis. Eur. J. Oper. Res. 177 (2007) 344–353. | DOI | Zbl
,[36] Using the analytic hierarchy process for ABC analysis. Int. J. Oper. Prod. Manage. 13 (1993) 29–44. | DOI
and ,[37] Classifying inventory using an artificial neural network approach. Comput. Ind. Eng. 41 (2002) 389–404. | DOI
and ,[38] Multi-criteria ABC inventory classification using the cross-efficiency method in DEA. J. Korean Inst. Ind. Eng. 37 (2011) 358–366.
, and ,[39] The application of CI-based DEA model in ABC inventory classification and management. J. Beijing Inst. Petro-Chem. Technol. 22 (2014) 49–53.
and ,[40] ABC inventory classification with multiple-criteria using weighted linear optimization. Comput. Oper. Res. 33 (2006) 695–700. | DOI | Zbl
,[41] Ranking decision-making units using common weights in DEA. Appl. Math. Model. 38 (2014) 3890–3896. | DOI | MR | Zbl
, , and ,[42] In the determination of the most efficient decision making unit in data envelopment analysis: a comment. Compt. Ind. Eng. 104 (2017) 216–218. | DOI
and ,[43] ABC inventory classification in the presence of both quantitative and qualitative criteria. Comput. Ind. Eng. 63 (2012) 530–537. | DOI
, and ,[44] 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] Selecting and full ranking suppliers with imprecise data: A new DEA method. Int. J. Adv. Manuf. Technol. 74 (2014) 1141–1148. | DOI
,[46] An epsilon-free approach for finding the most efficient unit in DEA. Appl. Math. Model. 38 (2014) 3182–3192. | DOI | MR | Zbl
,[47] 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] Alternative minimax model for finding the most efficient unit in data envelopment analysis. Comput. Ind. Eng. 81 (2015) 186–194. | DOI
,[49] 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
, and ,[50] 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
and ,[51] A powerful discriminative approach for selecting the most efficient unit in DEA. Compt. Ind. Eng. 115 (2018) 269–277. | DOI
and ,[52] 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
, and ,[53] A multiple objective particle swarm optimization approach for inventory classification. Int. J. Prod. Econ. 114 (2008) 656–666. | DOI
, ,[54] Closest target for the orientation-free context-dependent DEA under variable returns to scale. J. Oper. Res. Soc. 69 (2018) 1819–1833. | DOI
, , , and ,[55] Multi-criteria ABC analysis using artificial-intelligence-based classification techniques. Expert. Syst. Appl. 38 (2011) 3416–3421. | DOI
,[56] Imprecise data envelopment analysis (IDEA): a review and improvement with an application. Eur. J. Oper. Res. 144 (2003) 513–529. | DOI | MR | Zbl
,[57] A note on multi-criteria ABC inventory classification using weighted linear optimization. Eur. J. Oper. Res. 182 (2007) 1488–1491. | DOI | Zbl
and ,[58] A mathematical programming approach to constructing composite indicators. Ecol. Econ. 62 (2007) 291–297. | DOI
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