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相关论文: An Inventory System with Two Supply Modes and L\'e…

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We consider a version of the stochastic inventory control problem for a spectrally positive L\'evy demand process, in which the inventory can only be replenished at independent exponential times. We show the optimality of a periodic barrier…

最优化与控制 · 数学 2020-09-16 José-Luis Pérez , Kazutoshi Yamazaki , Alain Bensoussan

We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed…

最优化与控制 · 数学 2015-10-20 Apostolos N. Burnetas , Odysseas Kanavetas

Products with intermittent demand are characterized by a high risk of sales losses and obsolescence due to the sporadic occurrence of demand events. Generally, both point forecasting and probabilistic forecasting approaches are applied to…

最优化与控制 · 数学 2025-07-01 Ryoya Koide , Yurika Ono , Aya Ishigaki

A new approach to solve the continuous-time stochastic inventory problem using the fluctuation theory of Levy processes is developed. This approach involves the recent developments of the scale function that is capable of expressing many…

最优化与控制 · 数学 2016-03-25 Kazutoshi Yamazaki

In this paper we study a continuous time stochastic inventory model for a commodity traded in the spot market and whose supply purchase is affected by price and demand uncertainty. A firm aims at meeting a random demand of the commodity at…

最优化与控制 · 数学 2015-06-12 Maria B. Chiarolla , Giorgio Ferrari , Gabriele Stabile

In this paper we consider storage and inventory systems. Our aim is to apply and review main results of the fluctuation theory of stochastic processes in the context of storage and inventory modeling. We describe systems where the inflow is…

概率论 · 数学 2013-04-16 Zbigniew Michna , Wojciech Bombała , Peter Nielsen

We consider an inventory system whose state is modeled by a L\'{e}vy process. There are two types of costs--the running costs and the inventory control costs. The running costs (also known as the holding/penalty costs) are incurred…

最优化与控制 · 数学 2016-09-02 Jinbiao Wu , Haolin Feng , Dacheng Yao

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local…

概率论 · 数学 2023-03-21 Sonja Otten

In this article, we consider a continuous review (s, S) inventory system with failures of demand fulfillment (service) modeled as a Markov-modulated retrial queueing system. The inventory system features a single product that experiences…

概率论 · 数学 2023-07-18 James Cordeiro , Ying-Ju Chen , Andres Larrain-Hubach , Mark Abramson

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

最优化与控制 · 数学 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

Intermittent demand fluctuations pose significant challenges in disaster logistics and medical supply systems. In this study, we formulate cumulative demand as a generalized L\'evy process composed of a drift term, Poisson jumps, and…

概率论 · 数学 2026-03-04 Ryoya Koide

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

最优化与控制 · 数学 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

Group-buying auction has become a popular marketing strategy in the last decade. In this paper, a stochastic model is developed for an inventory system subjects to demands from group-buying auctions. The model discussed here takes into the…

最优化与控制 · 数学 2012-12-17 Allen H. Tai

A storage system where a k units stock is replaced instantaneously, when required,is presented in this work. It is also supposed a Poisson demand. It is proved that the storage system replenishment cost expected present value function…

概率论 · 数学 2021-10-06 Manuel Alberto M. Ferreira

In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson process. In the dual (spectrally positive L\'evy) model, recent results have shown the…

最优化与控制 · 数学 2018-02-27 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

In this paper, we consider an infinite horizon, continuous-review, stochastic inventory system in which cumulative customers' demand is price-dependent and is modeled as a Brownian motion. Excess demand is backlogged. The revenue is earned…

最优化与控制 · 数学 2018-07-12 Dacheng Yao

We study a stochastic control problem where the underlying process follows a spectrally negative L\'{e}vy process. A controller can continuously increase the process but only decrease it at independent Poisson arrival times. We show the…

最优化与控制 · 数学 2025-05-30 Kazutoshi Yamazaki , Qingyuan Zhang

We study the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

概率论 · 数学 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

This paper studies a class of optimal multiple stopping problems driven by L\'evy processes. Our model allows for a negative effective discount rate, which arises in a number of financial applications, including stock loans and real…

数理金融 · 定量金融 2016-03-11 Tim Leung , Kazutoshi Yamazaki , Hongzhong Zhang

We consider a single-echelon inventory system under periodic review with two suppliers facing stochastic demand, where excess demand is backlogged. The expedited supplier has a shorter lead time than the regular supplier but charges a…

最优化与控制 · 数学 2022-07-26 Melvin Drent , Joachim Arts
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