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Waiting a long time in the queue to receive products may cause dissatisfaction and churn of loyal customers, which can be a significant loss for organizations. Although many studies have been done on queueing-inventory models, more practical models in this area are needed, such as considering customer prioritization. Moreover, in many models, minimizing the total cost for the organization has been overlooked.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title><jats:p>This paper will compare several machine learning (ML) algorithms to prioritize customers. Moreover, benefiting from the best ML algorithm, customers will be categorized into different classes based on their value and importance. Finally, a mathematical model will be developed to determine the allocation policy of on-hand products to each group of customers through multi-channel service retailing to minimize the organization\u2019s total costs and increase the loyal customers' satisfaction level.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Findings<\/jats:title><jats:p>To investigate the application of the proposed method, a real-life case study on vaccine distribution at Imam Khomeini Hospital in Tehran has been addressed to ensure model validation. The proposed model\u2019s accuracy was assessed as excellent based on the results generated by the ML algorithms, problem modeling and case study.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title><jats:p>Prioritizing customers based on their value with the help of ML algorithms and optimizing the waiting queues to reduce customers' waiting time based on a mathematical model could lead to an increase in satisfaction levels among loyal customers and prevent their churn. This study\u2019s uniqueness lies in its focus on determining the policy in which customers receive products based on their value in the queue, which is a relatively rare topic of research in queueing management systems. Additionally, the results obtained from the study provide strong validation for the model\u2019s functionality.<\/jats:p><\/jats:sec>","DOI":"10.1108\/k-07-2023-1281","type":"journal-article","created":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T06:34:13Z","timestamp":1705041253000},"page":"2563-2591","source":"Crossref","is-referenced-by-count":20,"title":["A priority queueing-inventory approach for inventory management in multi-channel service retailing using machine learning algorithms"],"prefix":"10.1108","volume":"54","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2712-4420","authenticated-orcid":false,"given":"Nasser","family":"Abdali","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8073-5903","authenticated-orcid":false,"given":"Saeideh","family":"Heidari","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7529-1848","authenticated-orcid":false,"given":"Mohammad","family":"Alipour-Vaezi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0824-8513","authenticated-orcid":false,"given":"Fariborz","family":"Jolai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0175-2979","authenticated-orcid":false,"given":"Amir","family":"Aghsami","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"140","published-online":{"date-parts":[[2024,1,12]]},"reference":[{"issue":"6","key":"key2025031814003250800_ref001","doi-asserted-by":"publisher","first-page":"685","DOI":"10.1080\/16843703.2020.1736365","article-title":"Equilibrium threshold strategies and social benefits in the fully observable Markovian queues with partial breakdowns and interruptible setup\/closedown policy","volume":"17","year":"2020","journal-title":"Quality Technology and Quantitative Management"},{"key":"key2025031814003250800_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2021.107772","article-title":"A novel Markovian queueing-inventory model with imperfect production and inspection processes: A hospital case study","volume":"162","year":"2021","journal-title":"Computers and Industrial Engineering"},{"issue":"4","key":"key2025031814003250800_ref003","first-page":"367","article-title":"An integrated markovian queueing-inventory model in a single retailer-single supplier problem with imperfect quality and destructive testing acceptance sampling","volume":"55","year":"2021","journal-title":"Advances in Industrial Engineering"},{"key":"key2025031814003250800_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.119360","article-title":"A combined continuous-time Markov chain and queueing-inventory model for a blood transfusion network considering ABO\/Rh substitution priority and unreliable screening laboratory","volume":"215","year":"2023","journal-title":"Expert Systems with Applications"},{"issue":"16","key":"key2025031814003250800_ref005","doi-asserted-by":"publisher","first-page":"12551","DOI":"10.1016\/j.eswa.2012.04.086","article-title":"Effective product assignment based on association rule mining in retail","volume":"39","year":"2012","journal-title":"Expert Systems with Applications"},{"issue":"1","key":"key2025031814003250800_ref006","doi-asserted-by":"publisher","DOI":"10.3390\/math11010225","article-title":"Queueing inventory system in transport problem","volume":"11","year":"2023","journal-title":"Mathematics"},{"key":"key2025031814003250800_ref007","first-page":"1","article-title":"Scheduling the COVID-19 vaccine distribution based on data-driven decision-making methods","year":"2021","journal-title":"Journal of Industrial Engineering and Management Studies"},{"issue":"6","key":"key2025031814003250800_ref008","doi-asserted-by":"publisher","first-page":"2883","DOI":"10.1007\/s00500-021-06609-0","article-title":"Introducing a novel revenue-sharing contract in media supply chain management using data mining and multi-criteria decision-making methods","volume":"26","year":"2022","journal-title":"Soft Computing"},{"issue":"2","key":"key2025031814003250800_ref009","first-page":"196","article-title":"Scheduling the COVID-19 vaccine distribution based on data-driven decision-making methods","volume":"8","year":"2022","journal-title":"Journal of Industrial Engineering and Management Studies"},{"key":"key2025031814003250800_ref010","article-title":"Towards fair and privacy preserving federated learning for the healthcare domain","year":"2023","journal-title":"ArXiv Preprint ArXiv:2308.01529"},{"key":"key2025031814003250800_ref011","doi-asserted-by":"crossref","unstructured":"Azizi, M.J., Vayanos, P., Wilder, B., Rice, E. and Tambe, M. 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