{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,9]],"date-time":"2025-12-09T11:38:33Z","timestamp":1765280313744,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,4,15]],"date-time":"2022-04-15T00:00:00Z","timestamp":1649980800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Consejer\u00eda de Econom\u00eda, Conocimiento, Empresas y Universidad of Andalusia","award":["TRACSINT P20_01183"],"award-info":[{"award-number":["TRACSINT P20_01183"]}]},{"name":"Ministry of Universities of Spain","award":["FPU20\/05584"],"award-info":[{"award-number":["FPU20\/05584"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JTAER"],"abstract":"<jats:p>In the current paradigm for the retail industry, which is experiencing a rapid evolution, especially in textile companies, the generic problem of product allocation in a distribution and supply chain consisting of one main warehouse and several locations, belonging to different sales channels, is a challenge. The omnichannel replenishment process focuses on dynamically optimizing a shop or intermediate warehouse inventory for a wide range of products based on a forecast of sales, in order to fulfill the demand of all of the channels considered. In this context, the aims of this work were (a) to optimize inventory replenishment for multiple channels and products that are not perishable but devalue over time, and (b) to implement a methodology that combines the benefits of the Particle Swarm Optimization metaheuristic and Simulated Annealing. This study was carried out for different sales periods, channels and product configurations by performing a sensitivity analysis between the way new solutions are updated and the degree of intensification used in local search.<\/jats:p>","DOI":"10.3390\/jtaer17020025","type":"journal-article","created":{"date-parts":[[2022,4,18]],"date-time":"2022-04-18T04:21:28Z","timestamp":1650255688000},"page":"476-492","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Hybrid Metaheuristic for the Omnichannel Multiproduct Inventory Replenishment Problem"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0404-5594","authenticated-orcid":false,"given":"Antonio","family":"Lorenzo-Espejo","sequence":"first","affiliation":[{"name":"Departamento de Organizaci\u00f3n Industrial y Gesti\u00f3n de Empresas II, Universidad de Sevilla, 41092 Seville, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5784-4165","authenticated-orcid":false,"given":"Jes\u00fas","family":"Mu\u00f1uzuri","sequence":"additional","affiliation":[{"name":"Departamento de Organizaci\u00f3n Industrial y Gesti\u00f3n de Empresas II, Universidad de Sevilla, 41092 Seville, Spain"}]},{"given":"Jos\u00e9","family":"Guadix","sequence":"additional","affiliation":[{"name":"Departamento de Organizaci\u00f3n Industrial y Gesti\u00f3n de Empresas II, Universidad de Sevilla, 41092 Seville, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9490-1402","authenticated-orcid":false,"given":"Alejandro","family":"Escudero-Santana","sequence":"additional","affiliation":[{"name":"Departamento de Organizaci\u00f3n Industrial y Gesti\u00f3n de Empresas II, Universidad de Sevilla, 41092 Seville, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,15]]},"reference":[{"key":"ref_1","first-page":"51","article-title":"Hummel\u2019s digital transformation toward omnichannel retailing: Key lessons learned","volume":"14","author":"Hansen","year":"2015","journal-title":"MIS Q. Exec."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.jretai.2014.12.005","article-title":"The impact of cross-channel integration on retailers\u2019 sales growth","volume":"91","author":"Cao","year":"2015","journal-title":"J. Retail."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3340","DOI":"10.3390\/jtaer16070181","article-title":"Determinants of Consumers\u2019 Willingness to Participate in Fast Fashion Brands\u2019 Used Clothes Recycling Plans in an Omnichannel Retail Environment","volume":"16","author":"Shao","year":"2021","journal-title":"J. Theor. Appl. Electron. Commer. Res."},{"key":"ref_4","first-page":"1251","article-title":"Optimal in-store inventory policy for omnichannel retailers in franchising networks","volume":"47","author":"Xu","year":"2019","journal-title":"Int. J. Retail. Distrib. Manag. Res."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.intmar.2010.02.002","article-title":"Crafting integrated multichannel retailing strategies","volume":"24","author":"Zhang","year":"2010","journal-title":"J. Interact. Mark."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1080\/0740817X.2010.540637","article-title":"Optimal inventory and admission policies for drop-shipping retailers serving in-store and online customers","volume":"36","author":"Chen","year":"2011","journal-title":"IIE Trans."},{"key":"ref_7","unstructured":"Anastasiei, B., and Dospinescu, N. (2019, January 13\u201314). Paid Product Reviews in Social Media\u2013Are They Effective?. Proceedings of the 34th International Business Information Management Association Conference (IBIMA), Madrid, Spain."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/20932685.2018.1407018","article-title":"New marketing in fashion e-commerce","volume":"9","author":"Guercini","year":"2018","journal-title":"J. Glob. Fash. Mark."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1108\/K-03-2021-0197","article-title":"Determinants of e-commerce satisfaction: A comparative study between Romania and Moldova","volume":"51","author":"Dospinescu","year":"2022","journal-title":"Kybernetes"},{"key":"ref_10","first-page":"139","article-title":"Smartphone Brands Design and Buying Decision","volume":"5","author":"Dospinescu","year":"2016","journal-title":"Ecoforum"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1016\/j.ifacol.2016.07.823","article-title":"Optimisation of the replenishment problem in the Fashion Retail Industry using Tabu-Bees algorithm","volume":"49","author":"Martino","year":"2016","journal-title":"IFAC-PapersOnline"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"33","DOI":"10.5772\/56836","article-title":"Merchandise and Replenishment Planning Optimisation for Fashion Retail","volume":"5","author":"Iannone","year":"2013","journal-title":"Int. J. Eng. Bus. Manag."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1108\/IJRDM-07-2014-0098","article-title":"Exploring replenishment in the luxury fashion Italian firms: Evidence from case studies","volume":"43","author":"Bandinelli","year":"2015","journal-title":"Int. J. Retail. Distrib. Manag."},{"key":"ref_14","unstructured":"Lanzilotto, A., Martino, G., Gnoni, M.G., and Iannone, R. (2015, January 21\u201323). Impact Analysis of a Cross-Channel Retailing System in the Fashion Industry by a Simulation Approach. Proceedings of the 14th International Conference on Modeling and Applied Simulation, Bergeggi, Italy."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"8571","DOI":"10.1016\/j.eswa.2008.10.081","article-title":"Optimal reorder decision-making in the agent-based apparel supply chain","volume":"36","author":"Pan","year":"2009","journal-title":"Expert Syst. Appl."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/j.ijpe.2013.08.009","article-title":"Dynamic replenishment, production, and pricing decisions, in the face of supply disruption and random price-sensitive demand","volume":"146","author":"Zhu","year":"2013","journal-title":"Int. J. Prod. Econ."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.cie.2014.11.009","article-title":"Dynamic reorder point replenishment strategies for a capacitated supply chain with seasonal demand","volume":"80","author":"Grewal","year":"2015","journal-title":"Comput. Ind. Eng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1016\/j.ijpe.2013.05.021","article-title":"Pricing, replenishment, and timing of selling in a market with heterogeneous customers","volume":"145","author":"Anily","year":"2013","journal-title":"Int. J. Prod. Econ."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2016","DOI":"10.3934\/mbe.2020107","article-title":"Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms","volume":"17","author":"Mendoza","year":"2020","journal-title":"Math. Biosci. Eng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1016\/j.cie.2018.11.004","article-title":"Stochastic optimization models for joint pricing and inventory replenishment of perishable products","volume":"127","author":"Azadi","year":"2019","journal-title":"Comput. Ind. Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1016\/j.ijpe.2013.05.020","article-title":"A new age-based replenishment policy for supply chain inventory optimization of highly perishable products","volume":"145","author":"Duan","year":"2013","journal-title":"Int. J. Prod. Econ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.tre.2016.04.011","article-title":"A novel mathematical model for a multi-period, multi-product optimal ordering problem considering expiry dates in a FEFO system","volume":"93","author":"Sazvar","year":"2016","journal-title":"Transp. Res. E Logist. Transp. Rev."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.cor.2014.01.013","article-title":"Optimal joint replenishment, delivery and inventory management policies for perishable products","volume":"47","author":"Coelho","year":"2014","journal-title":"Comput. Oper. Res."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1217","DOI":"10.1016\/S2212-5671(15)00535-3","article-title":"The Application of Functions of Several Variables Analysis in an Optimal Replenishment Policy for Deteriorating Items","volume":"23","author":"Novotna","year":"2015","journal-title":"Procedia Econ."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"032072","DOI":"10.1088\/1742-6596\/1378\/3\/032072","article-title":"Inventory replenishment in multi-stage production setting under stochastic demand: A review","volume":"1378","author":"Afolalu","year":"2019","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"948","DOI":"10.1057\/palgrave.jors.2602217","article-title":"Modelling replenishment and transshipment decisions in periodic review multilocation inventory systems","volume":"58","author":"Archibald","year":"2007","journal-title":"J. Oper. Res. Soc."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1057\/palgrave.jors.2600613","article-title":"Stock redistribution in two-echelon logistics systems","volume":"49","author":"Bertrand","year":"1998","journal-title":"J. Oper. Res. Soc."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1287\/mnsc.47.12.1668.10235","article-title":"A two-location inventory model with transshipment and local decision making","volume":"47","author":"Rudi","year":"2001","journal-title":"Manage. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1302","DOI":"10.1287\/mnsc.33.10.1302","article-title":"A multi-echelon inventory model for repairable items with emergency lateral transshipments","volume":"33","author":"Lee","year":"1987","journal-title":"Manag. Sci."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1371","DOI":"10.1287\/mnsc.47.10.1371.10263","article-title":"Stocking decisions for low usage items in a multilocation inventory system","volume":"47","author":"Kukreja","year":"2001","journal-title":"Manag. Sci."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"6496309","DOI":"10.1155\/2019\/6496309","article-title":"A Mathematical Safety Stock Model for DDMRP Inventory Replenishment","volume":"2019","author":"Lee","year":"2019","journal-title":"Math. Probl. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/S0377-2217(00)00228-9","article-title":"Heuristics for assessing emergency transshipments","volume":"129","author":"Evers","year":"2001","journal-title":"Eur. J. Oper. Res."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/S0377-2217(02)00424-1","article-title":"An improved heuristic for deciding on emergency transshipments","volume":"148","author":"Minner","year":"2003","journal-title":"Eur. J. Oper. Res."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/S0377-2217(02)00447-2","article-title":"Evaluation of unidirectional lateral transhipments and substitutions in inventory systems","volume":"149","year":"2003","journal-title":"Eur. J. Oper. Res."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1057\/s41274-017-0188-5","article-title":"Variable neighborhood search incorporating a new bounding procedure for joint replenishment and delivery problem","volume":"69","author":"Wang","year":"2018","journal-title":"J. Oper. Res. Soc."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1287\/ijoc.1100.0439","article-title":"A Hybrid Heuristic for an Inventory Routing Problem","volume":"24","author":"Archetti","year":"2021","journal-title":"INFORMS J. Comput."},{"key":"ref_37","unstructured":"Carvajal, J., Sarache, W., and Costa, Y. (2017, January 11\u201313). A novel mat-heuristic approach to solve the problem of one warehouse, N retailers and M items. Proceedings of the 47th International Conference on Computers and Industrial Engineering, Lisbon, Portugal."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"104751","DOI":"10.1016\/j.cor.2019.07.009","article-title":"Benders decomposition for the inventory vehicle routing problem with perishable products and environmental costs","volume":"113","author":"Alkaabneh","year":"2020","journal-title":"Comput. Oper. Res."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1016\/j.ejor.2020.08.047","article-title":"Improved branch-and-cut for the Inventory Routing Problem based on a two-commodity flow formulation","volume":"290","author":"Manousakis","year":"2021","journal-title":"Eur. J. Oper. Res."},{"key":"ref_40","first-page":"4087","article-title":"Efficient formulation and heuristics for multiitem single source ordering problem with transportation cost","volume":"54","author":"Venkatachalam","year":"2016","journal-title":"J. Oper. Res. Soc."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"102550","DOI":"10.1016\/j.tre.2021.102550","article-title":"Robust omnichannel retail operations with the implementation of ship-from-store","volume":"157","author":"Jiu","year":"2022","journal-title":"Transp. Res. E Logist. Transp. Rev."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1016\/j.ejor.2020.01.011","article-title":"Order fulfillment policies for ship-from-store implementation in omni-channel retailing","volume":"294","author":"Bayram","year":"2021","journal-title":"Eur. J. Oper. Res."},{"key":"ref_43","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":"Nav. Res. Logist."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"102356","DOI":"10.1016\/j.omega.2020.102356","article-title":"Inventory replenishment planning of a distribution system with storage capacity constraints and multi-channel order fulfilment","volume":"102","author":"Dai","year":"2021","journal-title":"Omega"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1007\/s13198-021-01120-z","article-title":"A mathematical inventory model for a single-vendor multi-retailer supply chain based on the Vendor Management Inventory Policy","volume":"12","author":"Najafnejhad","year":"2021","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Gendreau, M., and Potvin, J.Y. (2010). Comparison of Metaheuristics. Handbook of Metaheuristics. International Series in Operations Research & Management Science, Springer.","DOI":"10.1007\/978-1-4419-1665-5"}],"container-title":["Journal of Theoretical and Applied Electronic Commerce Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/0718-1876\/17\/2\/25\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:54:41Z","timestamp":1760136881000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/0718-1876\/17\/2\/25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,15]]},"references-count":46,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2022,6]]}},"alternative-id":["jtaer17020025"],"URL":"https:\/\/doi.org\/10.3390\/jtaer17020025","relation":{},"ISSN":["0718-1876"],"issn-type":[{"type":"electronic","value":"0718-1876"}],"subject":[],"published":{"date-parts":[[2022,4,15]]}}}