ABC inventory classification via linear discriminant analysis and ranking methods

ABC inventory classification is one of the most frequently used approaches in inventory planning and control. Sorting of inventory items into group categories has traditionally been facilitated by means of their relative value. During recent years, a number of attempts have been made to classify items by several criteria simultaneously, but none of them use statistical tools to evaluate the classification quality. This paper proposes to use linear discriminant analysis (LDA) and data envelopment analysis (DEA) in the context of ABC inventory classification. A numerical case study illustrates the applicability of the procedure. This is, to the best of our knowledge, the first work that uses LDA for ABC inventory classification.

[1]  B. Keren,et al.  A wage incentive plan for branch managers using the DEA methodology , 2011 .

[2]  Morris A. Cohen,et al.  Operations related groups (ORGs): A clustering procedure for production/inventory systems , 1990 .

[3]  Zilla Sinuany-Stern,et al.  Combining ranking scales and selecting variables in the DEA context: the case of industrial branches , 1998, Comput. Oper. Res..

[4]  Petri Hautaniemi,et al.  The choice of replenishment policies in an MRP environment , 1999 .

[5]  Olli-Pekka Hilmola,et al.  Role of location in railway sector efficiency , 2011 .

[6]  Ching-Wu Chu,et al.  Controlling inventory by combining ABC analysis and fuzzy classification , 2008, Comput. Ind. Eng..

[7]  Zilla Sinuany-Stern,et al.  Academic departments efficiency via DEA , 1994, Comput. Oper. Res..

[8]  M. Tatsuoka Multivariate Analysis Techniques for Educational and Psychological Research , 1971 .

[9]  T. Sueyoshi,et al.  A use of a nonparametric statistic for DEA frontier shift: the Kruskal and Wallis rank test , 2001 .

[10]  Toshiyuki Sueyoshi,et al.  DEA-Discriminant Analysis: Methodological comparison among eight discriminant analysis approaches , 2006, Eur. J. Oper. Res..

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

[12]  P. Andersen,et al.  A procedure for ranking efficient units in data envelopment analysis , 1993 .

[13]  Dinesh R. Pai,et al.  The US motor carrier industry: estimation of operational efficiency using DEA , 2012 .

[14]  Murugan Anandarajan,et al.  Classifying inventory using an artificial neural network approach , 2002 .

[15]  Janne Huiskonen,et al.  Maintenance spare parts logistics: Special characteristics and strategic choices , 2001 .

[16]  Zilla Sinuany-Stern,et al.  Scaling units via the canonical correlation analysis in the DEA context , 1997, Eur. J. Oper. Res..

[17]  Hui Sun,et al.  Extended data envelopment models and a practical tool to analyse product complexity related to product variety for an automobile assembly plant , 2010 .

[18]  Donna L. Retzlaff-Roberts,et al.  A Data Envelopment Analysis approach to Discriminant Analysis , 1997, Ann. Oper. Res..

[19]  Toshiyuki Sueyoshi,et al.  DEA non-parametric ranking test and index measurement: slack-adjusted DEA and an application to Japanese agriculture cooperatives , 1999 .

[20]  Toshiyuki Sueyoshi,et al.  Slack-adjusted DEA for time series analysis: Performance measurement of Japanese electric power generation industry in 1984-1993 , 2001, Eur. J. Oper. Res..

[21]  M. Z. Babai,et al.  ABC inventory classification : service levels and inventory costs , 2009 .

[22]  Reza Farzipoor Saen,et al.  Suppliers ranking in the presence of undesirable outputs , 2012 .

[23]  C. A. Smith Some examples of discrimination. , 1947, Annals of eugenics.

[24]  H. Altay Güvenir,et al.  Multicriteria inventory classification using a genetic algorithm , 1998, Eur. J. Oper. Res..

[25]  Fong-Yuen Ding,et al.  Selecting a Third Party Logistics partner for operating a Materials Service Centre: a Data Envelopment Analysis approach , 2011 .

[26]  Manuel D. Rossetti,et al.  Evaluation of segmentation techniques for inventory management in large scale multi-item inventory systems , 2011 .

[27]  Ramakrishnan Ramanathan,et al.  ABC inventory classification with multiple-criteria using weighted linear optimization , 2006, Comput. Oper. Res..

[28]  A. K. Chakravarty,et al.  Multi-Item Inventory Aggregation into Groups , 1981 .

[29]  Michael Z. Hanani,et al.  Combining the AHP and DEA methodologies for selecting the best alternative , 2011 .

[30]  Abdollah Hadi-Vencheh,et al.  An improvement to multiple criteria ABC inventory classification , 2010, Eur. J. Oper. Res..

[31]  Constantin Zopounidis,et al.  Multicriteria classification and sorting methods: A literature review , 2002, Eur. J. Oper. Res..

[32]  D. Clay Whybark,et al.  Implementing multiple criteria ABC analysis , 1987 .

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

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