智能自動售貨機（SVM）是一個微型市場，為產品銷售創造靈活性； 然而，針對動態需求的產品選擇、貨架展示和補貨決策對於 SVM 的卓越運營至關重要且具有挑戰性。 本研究開發了支持向量機聯合決策的數學模型。 該模型採用混合整數非線性規劃來製定，以實現利潤最大化。 該模型經過修改，在決定補貨計劃時納入缺貨成本。 所提出的模型是使用遺傳算法求解的。 通過與各種數據集進行比較，結果顯示這些算法的有效性和效率。

Smart vending machine (SVM) is a micro market that creates flexibility for product sale; however, product selection, shelf display, and replenishment decisions against dynamic demands are essential and challenging to the SVM operation excellence. This study develops a mathematical model for the joint decisions of the SVM. The model was formulated in mixed integer non-linear programming to maximize profit. The model was modified to incorporate stock-out costs while deciding on a replenishment plan. The proposed model is solved using a genetic algorithm. The results show the effectiveness and efficiency of these algorithms by comparing them with a variety of data sets.

Caglar Gencosman, B., & Begen, M. A. (2022). Exact optimization and decomposition approaches for shelf space allocation. European Journal of Operational Research, 299(2), 432–447.
Corstjens, M., & Doyle, P. (1981). A Model for Optimizing Retail Space Allocations. Management Science, 27(7), 822–833.
Gecili, H., & Parikh, P. J. (2022). Joint shelf design and shelf space allocation problem for retailers. Omega (United Kingdom), 111.
Glover, F. (1989). Tabu Search—Part I. ORSA Journal on Computing, 1(3), 190–206.
Grzybowska, H., Kerferd, B., Gretton, C., & Travis Waller, S. (2020). A simulation-optimisation genetic algorithm approach to product allocation in vending machine systems. Expert Systems with Applications, 145.
Hariga, M. A., Al-Ahmari, A., & Mohamed, A. R. A. (2007). A joint optimisation model for inventory replenishment, product assortment, shelf space and display area allocation decisions. European Journal of Operational Research, 181(1), 239–251.
Hübner, A., & Schaal, K. (2017). A shelf-space optimization model when demand is stochastic and space-elastic. Omega (United Kingdom), 68, 139–154.
Ishichi, K., Ohmori, S., Ueda, M., & Yoshimoto, K. (2019). Shelf-space allocation model with demand learning. Operations and Supply Chain Management, 12(1), 24–30.
JVMMA. (2021). Japan Vending Machine Manufacture Association.
Kim, G., & Moon, I. (2021). Integrated planning for product selection, shelf-space allocation, and replenishment decision with elasticity and positioning effects. Journal of Retailing and Consumer Services, 58.
Marinelli, L., Fiano, F., Gregori, G. L., & Daniele, L. M. (2020). Food purchasing behaviour at automatic vending machines: the role of planograms and shopping time. British Food Journal, 123(5), 1821–1836. https://doi.org/10.1108/BFJ-02-2020-0107
Mnyakin, M. (2021). JAMM Journal of Artificial Intelligence and Machine Learning in Management An Empirical Investigation of the Determinants of Vending Machine Sales Volume.
Montano, N. (2022). Number of micro market locations served Micro markets by location.
Park, Y.-B., & Park, H.-S. (2015). Smart vending machine systems: operation and performance. In European J. Industrial Engineering (Vol. 9, Issue 4).
Park, Y.-B., & Yoon, S.-J. (2012). THE OPERATION OF VENDING MACHINE SYSTEMS WITH STOCK-OUT-BASED, ONE-STAGE ITEM SUBSTITUTION.
Rabbani, M., Salmanzadeh-Meydani, N., Farshbaf-Geranmayeh, A., & Fadakar-Gabalou, V. (2018). Profit maximizing through 3D shelf space allocation of 2D display orientation items with variable heights of the shelves. OPSEARCH, 55(2), 337–360.
Reisi, M., Gabriel, S. A., & Fahimnia, B. (2019). Supply chain competition on shelf space and pricing for soft drinks: A bilevel optimization approach. International Journal of Production Economics, 211, 237–250.
Shioda, R., Tunçel, L., & Myklebust, T. G. J. (2011). Maximum utility product pricing models and algorithms based on reservation price. Computational Optimization and Applications, 48(2), 157–198.
Spieth, P., Roeth, T., & Meissner, S. (2019). Reinventing a business model in industrial networks: Implications for customers’ brand perceptions. Industrial Marketing Management, 83, 275–287.
Yang, M.-H., & Chen, W.-C. (1999). A study on shelf space allocation and management. In Int. J. Production Economics (Vol. 60).
Zhao, J., Zhou, Y. W., & Wahab, M. I. M. (2016). Joint optimization models for shelf display and inventory control considering the impact of spatial relationship on demand. European Journal of Operational Research, 255(3), 797–808.