000164015 001__ 164015
000164015 005__ 20251121161350.0
000164015 0247_ $$2doi$$a10.1007/s11750-025-00707-0
000164015 0248_ $$2sideral$$a146128
000164015 037__ $$aART-2025-146128
000164015 041__ $$aeng
000164015 100__ $$aAdrián, D.
000164015 245__ $$aInventory models with nonlinear costs and random lead times: a general framework and some generalizations using reliability techniques
000164015 260__ $$c2025
000164015 5060_ $$aAccess copy available to the general public$$fUnrestricted
000164015 5203_ $$aIn 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.
000164015 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-23R$$9info:eu-repo/grantAgreement/ES/DGA/S41-23R$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PID2021-123737NB-I00$$9info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100
000164015 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000164015 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000164015 700__ $$0(orcid)0000-0002-6651-3306$$aBadía, F. G.$$uUniversidad de Zaragoza
000164015 700__ $$0(orcid)0000-0002-7099-7665$$aSangüesa, C.$$uUniversidad de Zaragoza
000164015 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000164015 773__ $$g(2025), [20 pp.]$$pTop (Madr.)$$tTop$$x1134-5764
000164015 8564_ $$s433764$$uhttps://zaguan.unizar.es/record/164015/files/texto_completo.pdf$$yVersión publicada
000164015 8564_ $$s1110922$$uhttps://zaguan.unizar.es/record/164015/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000164015 909CO $$ooai:zaguan.unizar.es:164015$$particulos$$pdriver
000164015 951__ $$a2025-11-21-14:24:48
000164015 980__ $$aARTICLE