Inventory models with nonlinear costs and random lead times: a general framework and some generalizations using reliability techniques

Adrián, D. ; Badía, F. G. (Universidad de Zaragoza) ; Sangüesa, C. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s11750-025-00707-0

Año: 2025

Publicado en: Top (2025), [20 pp.]
ISSN: 1134-5764

Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/DGA/S41-23R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PID2021-123737NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100

Tipo y forma: Article (Published version)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)