{"id":11360,"date":"2026-09-06T14:58:37","date_gmt":"2026-09-06T06:58:37","guid":{"rendered":"\/jase\/?post_type=tkuisotope&#038;p=11360"},"modified":"2026-09-06T14:58:47","modified_gmt":"2026-09-06T06:58:47","slug":"the-joint-determination-of-optimum-process-mean-and-economic-order-quantity","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=the-joint-determination-of-optimum-process-mean-and-economic-order-quantity","title":{"rendered":"The Joint Determination of Optimum Process Mean and Economic Order Quantity"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=11314\" data-type=\"page\" data-id=\"11314\">2011<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=11322\" data-type=\"page\" data-id=\"11322\">Volume 14, Issue 4<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-09-06T14:58:37+08:00\">2026-09-06<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>Yalin Pang<a href=\"mailto:newmansuper@163.com\"><i class=\"fa fa-envelope\"><\/i><\/a><\/p>\n\n\n\n<p style=\"font-size:14px\">School of Electronics and Electrical Engineering, Zhengzhou University of Science and Technology, Zhengzhou 450064 China<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:&nbsp;January 20, 2026<br>Accepted:&nbsp;March 1, 2026<br>Publication Date:&nbsp;March 15, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/03\/article_image.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">No figure<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:\u00a0 <a href=\"\/jase\/wp-content\/uploads\/2026\/09\/V14.4.03.bib\" data-type=\"attachment\" data-id=\"11574\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a href=\"http:\/\/dx.doi.org\/10.6180\/jase.2011.14.4.03\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/dx.doi.org\/10.6180\/jase.2011.14.4.03<\/a>\u00a0\u00a0<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/09\/03-9903_V14i4.pdf\" data-type=\"attachment\" data-id=\"11578\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Customer Lifetime Value (CLV) prediction is a core task in retail and e-commerce, enabling enterprises to optimize resource allocation and formulate precision marketing strategies. Traditional CLV prediction methods rely heavily on manual feature engineering and fail to fully capture the sequential dependencies and complex relational patterns in user behavior data. To address this limitation, this paper proposes a graph neural network based user behavior sequence mining framework (GNN-UBSM) for CLV prediction and precision marketing. First, we construct a heterogeneous behavior graph integrating users, items, and orders to model multi-type interactions and temporal sequences. Second, a temporal-aware graph convolutional network (TA-GCN) with attention mechanism is designed to learn dynamic user embeddings by aggregating sequential behavior information. Third, a hybrid loss function combining triplet loss and regression loss is proposed to enhance the discriminability of user representations and improve CLV prediction accuracy. Extensive experiments are conducted on three real-world datasets (Amazon 5-Core, Beibei, and a proprietary e-commerce dataset). Results show that GNN-UBSM outperforms state-of-the-art methods by 3.2%\u22128.7% in CLV prediction error (RMSE) and 5.1%\u221210.3% in high-value user identification (F1-score). Furthermore, we derive a precision marketing strategy framework based on the model output, including customer segmentation, personalized recommendation, and churn prevention. This study provides both theoretical support for behavior sequence mining with GNN and practical guidance for enterprises to maximize CLV.<\/p>\n\n\n\n<p><em>Keywords:&nbsp;User behavior sequence; Graph neural networks; Customer lifetime value; Precision marketing; Temporal attention; Heterogeneous graph modeling<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] I. A. Nugroho, K. Adi, and K. B. Aryasa, (2026) \u201cReal-Time Conversational Analysis Using LLMs for B2B E-Commerce Customer Value Management\u201d Engineering, Technology &amp; Applied Science Research 16(1): 31379\u201331385. DOI: 10.48084\/etasr.15797.<\/li>\n<li>[2] A. M. Haddadi and H. Hamidi, (2025) \u201cA hybrid model for improving customer lifetime value prediction using stacking ensemble learning algorithm\u201d Computers in Human Behavior Reports 18: 100616. DOI: 10.1016\/j.chbr.2025.100616.<\/li>\n<li>[3] P. Chilakapati, S. Ramakrishnan, R. Deora, and A. Agarwal. \u201cCustomer Analytics: Using Machine Learning to Predict the Customer Life Time Value (CLTV) Based on Purchase History and Ratings\u201d. In: 2025 3rd International Conference on Disruptive Technologies (ICDT). IEEE. 2025, 1205\u20131210. DOI: 10.1109\/ICDT63985.2025.10986296.<\/li>\n<li>[4] A. Wong, A. V. Garcia, and Y.-W. Lim, (2025) \u201cA data-driven approach to customer lifetime value prediction using probability and machine learning models\u201d Decision Analytics Journal 16: 100601. DOI: 10.1016\/j.dajour.2025.100601.<\/li>\n<li>[5] L. Teng, H. Li, and Y. Si, \u201cNeural Tensor Network And Adaptive Graph Convolution For Sports\u201d Journal of Applied Science and Engineering 29(6): 1483\u20131491. DOI: 10.6180\/jase.202606_29(6).0015.<\/li>\n<li>[6] Z. Khan, A. Ali, S. Aldahmani, H. Nordmark, and B. Lausen, (2025) \u201cCustomer lifetime value modelling via two stage selected trees ensembles\u201d IEEE Access 13: 15236\u2013115247. DOI: 10.1109\/ACCESS.2025.3584709.<\/li>\n<li>[7] U. Bhimavarapu. \u201cEnhancing E-Commerce Insights Predicting Customer Lifetime Value Using Advanced Neural Network Architecture\u201d. In: Multiple-Criteria Decision-Making (MCDM) Techniques and Statistics in Marketing. IGI Global Scientific Publishing, 2025, 131\u2013146. DOI: 10.4018\/979-8-3693-9122-8.ch006.<\/li>\n<li>[8] K. Monica, M. I. Tabelalmateen, A. Buckshumiyan, et al. \u201cEnsemble Learning based Categorical Boosting for Customer Lifetime Value Prediction in Businesses\u201d. In: 2025 International Conference on Intelligent Systems and Computational Networks (ISICSN). IEEE. 2025, 1\u20135. DOI: 10.1109\/ISICSN64258.2025.10934286.<\/li>\n<li>[9] C. Zhao and Y. Xun, (2025) \u201cThe analysis of dynamic evaluation of online shopping satisfaction based on the recurrent neural network model\u201d Scientific reports 15(1): 21724. DOI: 10.1038\/s41598-025-06689-0.<\/li>\n<li>[10] A. M. Agrawal. \u201cTransforming e-commerce with Graph Neural Networks: Enhancing personalization, security, and business growth\u201d. In: Applied Graph Data Science. Elsevier, 2025, 215\u2013224. DOI: 10.1016\/B978-0-443-29654-3.00016-8.<\/li>\n<li>[11] S. Yin, H. Li, A. A. Laghari, L. Teng, T. R. Gadekallu, and A. Almadhor, (2024) \u201cFLSN-MVO: edge computing and privacy protection based on federated learning Siamese network with multi-verse optimization algorithm for industry 5.0\u201d IEEE Open Journal of the Communications Society 6: 3443\u20133458. DOI: 10.1109\/OJCOMS.2024.3520562.<\/li>\n<li>[12] N. Van Thieu, S. Mirjalili, H. Garg, and N. T. Hoang, (2025) \u201cMetaPerceptron: A standardized framework for metaheuristic-driven multi-layer perceptron optimization\u201d Computer Standards &amp; Interfaces 93: 103977. DOI: 10.1016\/j.csi.2025.103977.<\/li>\n<li>[13] Q. She, C. Li, T. Tan, F. Fang, and Y. Zhang, (2025) \u201cImproved few-shot learning based on triplet metric for motor imagery eeg classification\u201d IEEE Transactions on Cognitive and Developmental Systems 17(4): 987\u2013999. DOI: 10.1109\/TCDS.2025.3539398.<\/li>\n<li>[14] K. Balasaranya and P. Ezhumalai, (2026) \u201cSentiment analysis of Amazon product reviews using an inception-based recurrent residual CNN approach\u201d International Journal of Data Science and Analytics 21(1): 76. DOI: 10.1007\/s41060-025-00940-7.<\/li>\n<li>[15] B. Lepri, J. Staiano, G. Rigato, K. Kalimeri, A. Finnerty, F. Pianesi, N. Sebe, and A. Pentland. \u201cThe sociometric badges corpus: A multilevel behavioral dataset for social behavior in complex organizations\u201d. In: 2012 International Conference on Privacy, Security, Risk and Trust and 2012 International Conference on Social Computing. IEEE. 2012, 623\u2013628. DOI: 10.1109\/SocialCom-PASSAT.2012.71.<\/li>\n<li>[16] I. Aliagas, A. Gobbi, M.-L. Lee, and B. D. Sellers, (2022) \u201cComparison of logP and logD correction models trained with public and proprietary data sets\u201d Journal of Computer-Aided Molecular Design 36(3): 253\u2013262. DOI: 10.1007\/s10822-022-00450-9.<\/li>\n<li>[17] S. Zhang, M. Wang, W. Wang, J. Gao, X. Zhao, Y. Yang, X. Wei, Z. Liu, and T. Xu. \u201cGlint-ru: Gated lightweight intelligent recurrent units for sequential recommender systems\u201d. In: Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V. 1. 2025, 1948\u20131959. DOI: 10.1145\/3690624.3709304.<\/li>\n<li>[18] V. H. Koneru, X. Neufeld, S. Loth, and A. Gr\u00fcn. \u201cEnhancing Recommendation Quality of the SASRec Model by Mitigating Popularity Bias\u201d. In: Proceedings of the 18th ACM Conference on Recommender Systems. 2024, 781\u2013783. DOI: 10.1145\/3640457.3688044.<\/li>\n<li>[19] T. Luo, Y. Liu, and S. J. Pan, (2024) \u201cCollaborative sequential recommendations via multi-view GNN-transformers\u201d ACM Transactions on Information Systems 42(6): 1\u201327. DOI: 10.1145\/3649436.<\/li>\n<li>[20] H. Chen, Z. Li, Y. Bei, K. Xu, Y. Zhang, F. Huang, Y. Yang, H. Gong, and F. Karray, (2025) \u201cBehavior Merging Graph Convolution Network for Multi-Behavior Recommendation\u201d IEEE Transactions on Knowledge and Data Engineering 37(12): 6987\u20137000. DOI: 10.1109\/TKDE.2025.3618466.<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[1968,6,1972],"tags":[2072],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:\u00a0 BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.2011.14.4.03\u00a0\u00a0 Download PDF Customer Lifetime Value (CLV) prediction is a core task in retail&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/11360"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11360"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}