{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T09:42:22Z","timestamp":1782898942491,"version":"3.54.5"},"reference-count":29,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/S022252\/1"],"award-info":[{"award-number":["EP\/S022252\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["European Journal of Operational Research"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.ejor.2026.01.012","type":"journal-article","created":{"date-parts":[[2026,1,12]],"date-time":"2026-01-12T07:26:46Z","timestamp":1768202806000},"page":"460-477","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":2,"title":["Periodic review inventory control for an omnichannel retailer with partial lost-sales"],"prefix":"10.1016","volume":"333","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8800-2996","authenticated-orcid":false,"given":"Ben","family":"Lowery","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4101-5930","authenticated-orcid":false,"given":"Anna-Lena","family":"Sachs","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9957-2460","authenticated-orcid":false,"given":"Idris A.","family":"Eckley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-9530-311X","authenticated-orcid":false,"given":"Louise","family":"Lloyd","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0001","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1287\/msom.4.1.75.291","article-title":"Heuristic methods for centralized control of one-warehouse, n-retailer inventory systems","volume":"4","author":"Axs\u00e4ter","year":"2002","journal-title":"Manufacturing & Service Operations Management"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0002","first-page":"45","article-title":"How to win in an omnichannel world","volume":"56","author":"Bell","year":"2014","journal-title":"MIT Sloan Management Review"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0003","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.ejor.2012.01.041","article-title":"Periodic review lost-sales inventory models with compound poisson demand and constant lead times of any length","volume":"220","author":"Bijvank","year":"2012","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"10.1016\/j.ejor.2026.01.012_bib0004","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/j.ejor.2021.07.016","article-title":"Deep reinforcement learning for inventory control: A roadmap","volume":"298","author":"Boute","year":"2022","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"10.1016\/j.ejor.2026.01.012_bib0005","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.ejor.2003.08.062","article-title":"Managing inventories in a two-echelon dual-channel supply chain","volume":"162","author":"Chiang","year":"2005","journal-title":"European Journal of Operational Research"},{"issue":"4","key":"10.1016\/j.ejor.2026.01.012_bib0006","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1287\/mnsc.6.4.475","article-title":"Optimal policies for a multi-echelon inventory problem","volume":"6","author":"Clark","year":"1960","journal-title":"Management Science"},{"issue":"3","key":"10.1016\/j.ejor.2026.01.012_bib0007","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1016\/j.ejor.2018.02.047","article-title":"A typology and literature review on stochastic multi-echelon inventory models","volume":"269","author":"de Kok","year":"2018","journal-title":"European Journal of Operational Research"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0008","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.ejor.2021.07.017","article-title":"An inventory model with discounts for omnichannel retailers of slow moving items","volume":"300","author":"Gabor","year":"2022","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"10.1016\/j.ejor.2026.01.012_bib0009","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1016\/j.ejor.2006.08.041","article-title":"Inventory competition and allocation in a multi-channel distribution system","volume":"182","author":"Geng","year":"2007","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"10.1016\/j.ejor.2026.01.012_bib0010","doi-asserted-by":"crossref","first-page":"1349","DOI":"10.1287\/msom.2021.1064","article-title":"Can deep reinforcement learning improve inventory management? Performance on lost sales, dual-sourcing, and multi-echelon problems","volume":"24","author":"Gijsbrechts","year":"2022","journal-title":"Manufacturing & Service Operations Management"},{"issue":"3","key":"10.1016\/j.ejor.2026.01.012_bib0011","doi-asserted-by":"crossref","first-page":"898","DOI":"10.1287\/moor.2015.0760","article-title":"Asymptotic optimality of constant-order policies for lost sales inventory models with large lead times","volume":"41","author":"Goldberg","year":"2016","journal-title":"Mathematics of Operations Research"},{"issue":"6","key":"10.1016\/j.ejor.2026.01.012_bib0012","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1002\/nav.21969","article-title":"Joint inventory and fulfillment decisions for omnichannel retail networks","volume":"68","author":"Govindarajan","year":"2021","journal-title":"Naval Research Logistics (NRL)"},{"key":"10.1016\/j.ejor.2026.01.012_bib0013","unstructured":"Hubbs, C. D., Perez, H. D., Sarwar, O., Sahinidis, N. V., Grossmann, I. E., & Wassick, J. M. (2020). OR-gym: A reinforcement learning library for operations research problems. arXiv preprint arXiv: 2008.06319,."},{"issue":"3","key":"10.1016\/j.ejor.2026.01.012_bib0014","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1016\/j.ejor.2021.12.021","article-title":"The revival of retail stores via omnichannel operations: A literature review and research framework","volume":"302","author":"H\u00fcbner","year":"2022","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/j.ejor.2026.01.012_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijpe.2023.109088","article-title":"Deep reinforcement learning for one-warehouse multi-retailer inventory management","volume":"267","author":"Kaynov","year":"2024","journal-title":"International Journal of Production Economics"},{"issue":"2","key":"10.1016\/j.ejor.2026.01.012_bib0016","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.ejor.2010.11.026","article-title":"Linear programming based decomposition methods for inventory distribution systems","volume":"211","author":"Kunnumkal","year":"2011","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"10.1016\/j.ejor.2026.01.012_bib0017","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1057\/jors.2014.15","article-title":"Inventory management for dual sales channels with inventory-level-dependent demand","volume":"66","author":"Li","year":"2015","journal-title":"Journal of the Operational Research Society"},{"issue":"9","key":"10.1016\/j.ejor.2026.01.012_bib0018","doi-asserted-by":"crossref","first-page":"1092","DOI":"10.1287\/mnsc.39.9.1092","article-title":"Two-interval inventory-allocation policies in a one-warehouse n-identical-retailer distribution system","volume":"39","author":"McGavin","year":"1993","journal-title":"Management Science"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0019","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1287\/opre.2021.2161","article-title":"Asymptotically optimal Lagrangian policies for multi-warehouse, multi-store systems with lost sales","volume":"70","author":"Miao","year":"2022","journal-title":"Operations Research"},{"issue":"5","key":"10.1016\/j.ejor.2026.01.012_bib0020","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1287\/mnsc.40.5.582","article-title":"Optimizing inventory levels in a two-echelon retailer system with partial lost sales","volume":"40","author":"Nahmias","year":"1994","journal-title":"Management Science"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0021","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.ejor.2012.12.001","article-title":"Inventory control in multi-channel retail","volume":"227","author":"Schneider","year":"2013","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/j.ejor.2026.01.012_bib0022","series-title":"2022\u202fIEEE 18Th International Conference on Automation Science and Engineering (CASE)","article-title":"Deep reinforcement learning toward robust multi-echelon supply chain inventory optimization","author":"Shar","year":"2022"},{"issue":"2","key":"10.1016\/j.ejor.2026.01.012_bib0023","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.ijforecast.2004.10.001","article-title":"The accuracy of intermittent demand estimates","volume":"21","author":"Syntetos","year":"2005","journal-title":"International Journal of Forecasting"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0024","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.ejor.2025.01.026","article-title":"Deep controlled learning for inventory control","volume":"324","author":"Temiz\u00f6z","year":"2025","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/j.ejor.2026.01.012_bib0025","series-title":"Proceedings of the 36th IEEE Conference on Decision and Control","first-page":"4052","article-title":"A neuro-dynamic programming approach to retailer inventory management","volume":"vol. 4","author":"Van Roy","year":"1997"},{"key":"10.1016\/j.ejor.2026.01.012_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.compind.2020.103239","article-title":"Use of proximal policy optimization for the joint replenishment problem","volume":"119","author":"Vanvuchelen","year":"2020","journal-title":"Computers in Industry"},{"issue":"1","key":"10.1016\/j.ejor.2026.01.012_bib0027","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1287\/opre.2020.2019","article-title":"Technical note\u2013Understanding the performance of capped base-stock policies in lost-sales inventory models","volume":"69","author":"Xin","year":"2021","journal-title":"Operations Research"},{"key":"10.1016\/j.ejor.2026.01.012_bib0028","series-title":"Research handbook on inventory management","first-page":"165","article-title":"Dual-sourcing, dual-mode dynamic stochastic inventory models","author":"Xin","year":"2023"},{"key":"10.1016\/j.ejor.2026.01.012_bib0029","series-title":"Foundations of inventory management","first-page":"374","author":"Zipkin","year":"2000"}],"container-title":["European Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221726000342?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221726000342?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T16:25:39Z","timestamp":1777566339000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377221726000342"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":29,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,9]]}},"alternative-id":["S0377221726000342"],"URL":"https:\/\/doi.org\/10.1016\/j.ejor.2026.01.012","relation":{},"ISSN":["0377-2217"],"issn-type":[{"value":"0377-2217","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Periodic review inventory control for an omnichannel retailer with partial lost-sales","name":"articletitle","label":"Article Title"},{"value":"European Journal of Operational Research","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ejor.2026.01.012","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}