164015 20251121161350.0 doi 10.1007/s11750-025-00707-0 sideral 146128 ART-2025-146128 eng Adrián, D. Inventory models with nonlinear costs and random lead times: a general framework and some generalizations using reliability techniques 2025 In this paper, we generalize some of the inventory models with nonlinear costs presented in Rosling (Oper Res 50:1007–1017, 2002). In particular, we consider random lead times and study models with continuous and discrete demand. In the unified model, we study conditions on the lead time and the demand distribution that ensure the quasiconvexity of the cost function, thereby guaranteeing the existence of optimal (s, S) policies. These conditions are applied to specific well-known models. Particularly, we study the case where backlog costs per time equal to zero, thus providing more general conditions than those available in the literature for specific models. Moreover, we introduce a random lead time for the compound renewal model with periodic review. Our results are mainly based on the reliability properties of the random variables under consideration. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/DGA/S41-23R info:eu-repo/grantAgreement/ES/MINECO-FEDER/PID2021-123737NB-I00 info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Badía, F. G. Universidad de Zaragoza (orcid)0000-0002-6651-3306 Sangüesa, C. Universidad de Zaragoza (orcid)0000-0002-7099-7665 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. (2025), [20 pp.] Top (Madr.) Top 1134-5764 433764 http://zaguan.unizar.es/record/164015/files/texto_completo.pdf Versión publicada 1110922 http://zaguan.unizar.es/record/164015/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:164015 articulos driver 2025-11-21-14:24:48 ARTICLE