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

Diego Adrián et al.

TOP - Transactions in Operations Research2025https://doi.org/10.1007/s11750-025-00707-0article
AJG 1ABDC B
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0.50

What the paper says

Abstract 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.

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https://doi.org/https://doi.org/10.1007/s11750-025-00707-0

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@article{diego2025,
  title        = {{Inventory models with nonlinear costs and random lead times: a general framework and some generalizations using reliability techniques}},
  author       = {Diego Adrián et al.},
  journal      = {TOP - Transactions in Operations Research},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1007/s11750-025-00707-0},
}

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

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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