e-ISSN 2231-8526
ISSN 0128-7680
Chartchai Leenawong and Thanrada Chaikajonwat
Pertanika Journal of Science & Technology, Volume 31, Issue 2, March 2023
DOI: https://doi.org/10.47836/pjst.31.2.02
Keywords: Centroid calculation, clustering, Davies–Bouldin index, demand-based, distance metrics, distribution center, K-means, location problem
Published on: 20 March 2023
This research applies and modifies K-means clustering analysis from Data Mining to solving the location problem. First, a case study of Thailand’s convenience store franchise in locating distribution centers (DCs) is conducted. Then, the final centroids are served at suggested DC locations. Besides the typical distance, Euclidean, used in K-means, Manhattan, and Chebyshev, is also experimented with. Moreover, due to the stores’ different demands, a modification of the centroid calculation is needed to reflect the center-of-gravity effects. For the proposed centroid calculation, the above three distance metrics incorporating the demands as weights give rise to another three approaches and are thus named Weighted Euclidean, Weighted Manhattan, and Weighted Chebyshev, respectively. Besides the optimal locations, the effectiveness of these six clustering approaches is measured by the expected total distribution cost from DCs to their served stores and the expected Davies–Bouldin index (DBI). Concurrently, the efficiency is measured by the expected number of iterations to the final clusters. All these six clustering approaches are then implemented in the case study of locating eight DCs to distribute to 260 convenience stores in Eastern Thailand. The results show that though all approaches yield locations in close proximity, the Weighted Chebyshev is the most effective one having both the lowest expected distribution cost and lowest expected DBI. In contrast, Euclidean is the most efficient approach, with the lowest expected number of iterations to the final clusters, followed by Weighted Chebyshev. Therefore, the DC locations from Weighted Chebyshev could, ultimately, be chosen for this Thailand’s convenience store franchise.
Aggarwal, C. C., & Reddy, C. K. (Eds.). (2014). Data clustering algorithms and applications. CRC Press.
Chen, H. (2019). Location problem of distribution center based on Baumer Walvar model: Taking Jiaji logistics as an example. Open Journal of Business and Management, 7(2), 1042-1052. https://doi.org/10.4236/ojbm.2019.72070
Dantrakul, S., Likasiri, C., & Pongvuthithum, R. (2014). Applied p-median and p-center algorithms for facility location problems. Expert Systems with Applications, 41(8), 3596-3604. https://doi.org/10.1016/j.eswa.2013.11.046
Davies, D. L., & Bouldin, D. W. (1979). A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1(2), 224-227. https://doi.org/10.1109/TPAMI. 1979.4766909
Drezner, Z., Scott, C., & Song, J. S. (2003). The central warehouse location problem revisited. IMA Journal of Management Mathematics, 14(4), 321-336. https://doi.org/10.1093/imaman/ 14.4.321
Farahani, R. Z., & Hekmatfar, M. (Eds.). (2009). Facility location: Concepts, models, algorithms and case studies. Springer Science & Business Media.
Gultom, S., Sriadhi, S., Martiano, M., & Simarmata, J. (2018). Comparison analysis of K-means and K-medoid with Euclidean distance algorithm, distance, and Chebyshev distance for big data clustering. In IOP Conference Series: Materials Science and Engineering (Vol. 420, No. 1, p. 012092). IOP Publishing. https://doi.org/10.1088/1757-899X/420/1/012092
Hakimi, S. L. (1964). Optimum locations of switching centers and the absolute centers and medians of a graph. Operations Research, 12(3), 450-459. https://doi.org/10.1287/opre.12.3.450
Langley, C. J., Novack, R. A., Gibson, B., & Coyle, J. J. (2020). Supply chain management: A logistics perspective. Cengage Learning.
Ministry of Foreign Affairs. (2017). Tourism industry in Thailand. Netherlands embassy in Bangkok. https://www.rvo.nl/sites/default/files/2017/06/factsheet-toerisme-in-thailand.pdf
Sharma, A., & Jalal, A. S. (2017). Clustering based hybrid approach for facility location problem. Management Science Letters, 7(12), 577-584. https://doi.org/10.5267/j.msl.2017.8.007
Singh, A., Yadav, A., & Rana, A. (2013). K-means with three different distance metrics. International Journal of Computer Applications, 67(10), 13-17. https://doi.org/10.5120/11430-6785
Sinwar, D., & Kaushik, R. (2014). Study of Euclidean and Manhattan distance metrics using simple K-means clustering. International Journal for Research in Applied Science and Engineering Technology (IJRASET), 2(5), 270-274.
Surawattananon, N., Reancharoen, T., Prajongkarn, W., Chunanantatham, S., Simakorn, Y., & Gultawatvichai, P. (2021). Revitalising Thailand’s tourism sector. Bank of Thailand. https://www.bot.or.th/Thai/MonetaryPolicy/EconomicConditions/AAA/250624_WhitepaperVISA.pdf
Wang, M. (2018). The research of strategy for the 7-eleven convenience store in Thailand (Masters dissertation). Siam University, Thailand. https://e-research.siam.edu/wp-content/uploads/2019/08/IMBA-2018-IS-The-Research-of-Strategy-for-the-7-Eleven-Convenience-Store_compressed.pdf
Yang, L., Ji, X., Gao, Z., & Li, K. (2007). Logistics distribution centers location problem and algorithm under fuzzy environment. Journal of Computational and Applied Mathematics, 208(2), 303-315. https://doi.org/10.1016/j.cam.2006.09.015
ISSN 0128-7680
e-ISSN 2231-8526