Multi-criteria ABC classification and mathematical modeling for multi-product inventory control with budget constraints
Keywords:
Multi product, Inventory Control, TOPSIS, Mathematical ModelMain Article Content
The multi-item inventory management problem with stochastic demand and budget constraints is a challenge for managers, as they must decide when to place an order and what quantity to order. The decision to order depends on whether the current inventory is sufficient to meet future demand, and the quantity to order depends on the estimate of future demand and the desire to have a permissible amount of stockouts. Due to demand uncertainty, stock replenishment decisions are expected to provide a high level of service for all items; however, if stockouts occur, they are expected to have a minor impact on customers. To solve this problem, a hybrid model is proposed that combines multi-criteria classification to classify items according to their relative importance with a linear programming model that establishes replenishment quantities, considering the possibility of different service levels. The results show, for a case study in a healthcare company that must jointly manage a total of 217 items, that the assigned budget allows balancing the purchase quantities of each item under high service levels.
Abdolazimi, O., Shishebori, D., Gooda, F., Ghasemi, P., & Appolloni, A. (2021). Designing a new mathematical model based on ABC analysis for inventory control problem: A real case study. RAIRO - Operations Research, 55(4), 2309–2335. https://doi.org/10.1051/ro/2021104 DOI: https://doi.org/10.1051/ro/2021104
de Assis, A. G., dos Santos, A. F. A., dos Santos, L. A., da Costa, J. F., Cabral, M. A. L., & de Souza, R. P. (2022). Classification of medicines and materials in hospital inventory management: A multi-criteria analysis. BMC Medical Informatics and Decision Making, 22, Article 325. https://doi.org/10.1186/s12911-022-02069-0 DOI: https://doi.org/10.1186/s12911-022-02069-0
Hadley, G., & Whitin, T. (1963). Analysis of inventory systems. Prentice Hall.
Hwang, C.-L., Lai, Y.-J., & Liu, T.-Y. (1993). A new approach for multiple objective decision making. Computers & Operations Research, 20(8), 889–899. https://doi.org/10.1016/0305-0548(93)90109-V DOI: https://doi.org/10.1016/0305-0548(93)90109-V
Kumar, S., & Chakravarty, A. (2015). ABC–VED analysis of expendable medical stores at a tertiary care hospital. Medical Journal Armed Forces India, 71(1), 24–27. https://doi.org/10.1016/j.mjafi.2014.07.002 DOI: https://doi.org/10.1016/j.mjafi.2014.07.002
Ly, R., & Raweewan, M. (2021). Optimizing inventory classification and service levels under budget and warehouse space control. International Journal of Knowledge and Systems Science (IJKSS), 12(3), 80–92. https://doi.org/10.4018/IJKSS.2021070104 DOI: https://doi.org/10.4018/IJKSS.2021070104
Nahmias, S. (2008). Production and operations analysis (6th ed.). McGraw-Hill/Irwin.
Partovi, F., & Burton, J. (1993). Using the analytic hierarchy process for ABC analysis. International Journal of Operations & Production Management, 13(9), 29–44. https://doi.org/10.1108/01443579310043619 DOI: https://doi.org/10.1108/01443579310043619
Roda, I., Macchi, M., Fumagalli, L., & Viveros, P. (2014). A review of multi-criteria classification of spare parts: From literature analysis to industrial evidences. Journal of Manufacturing Technology Management, 25(4), 528–549. https://doi.org/10.1108/JMTM-04-2013-0038 DOI: https://doi.org/10.1108/JMTM-04-2013-0038
Saaty, T. L. (1990). How to make a decision: The analytic hierarchy process. European Journal of Operational Research, 48(1), 9–26. https://doi.org/10.1016/0377-2217(90)90057-I DOI: https://doi.org/10.1016/0377-2217(90)90057-I
Serel, D. A. (2012). Multi-item quick response system with budget constraint. International Journal of Production Economics, 137(2), 235–249. https://doi.org/10.1016/j.ijpe.2012.02.004 DOI: https://doi.org/10.1016/j.ijpe.2012.02.004
Silver, E. A., Pyke, D. F., & Peterson, R. (1998). Inventory management and production planning and scheduling (3rd ed.). Wiley.
Yang, L., Li, H., Campbell, J. F., & Sweeney, D. C. (2017). Integrated multi-period dynamic inventory classification and control. International Journal of Production Economics, 189, 86–96. https://doi.org/10.1016/j.ijpe.2017.04.010 DOI: https://doi.org/10.1016/j.ijpe.2017.04.010
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