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Related papers: Inventory Control Using a L\'evy Process for Evalu…

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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…

Probability · Mathematics 2023-07-18 James Cordeiro , Ying-Ju Chen , Andres Larrain-Hubach , Mark Abramson

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

Online marketplaces increasingly do more than simply match buyers and sellers: they route orders across competing sellers and, in many categories, offer ancillary fulfillment services that make seller inventory a source of platform revenue.…

Multiagent Systems · Computer Science 2026-04-09 Rene Caldentey , Tong Xie

This paper considers a Cram\'er-Lundberg risk setting, where the components of the underlying model change over time. These components could be thought of as the claim arrival rate, the claim-size distribution, and the premium rate, but we…

Probability · Mathematics 2019-06-10 Corina Constantinescu , Guusje Delsing , Michel Mandjes , Leonardo Rojas Nandayapa

This study presents a comprehensive approach to optimizing inventory management under stochastic demand by leveraging Monte Carlo Simulation (MCS) with grid search and Bayesian optimization. By using a business case of historical demand…

Optimization and Control · Mathematics 2024-07-01 Sarit Maitra

We investigate the potential added value of being able to relocate production capacity, relative to fixed production capacity, in a network of multiple, geographically distributed manufacturing sites. There is a growing interest in…

Optimization and Control · Mathematics 2021-06-29 Satya S. Malladi , Alan L. Erera , Chelsea C. White

We consider an inventory system in which inventory level fluctuates as a Brownian motion in the absence of control. The inventory continuously accumulates cost at a rate that is a general convex function of the inventory level, which can be…

Optimization and Control · Mathematics 2014-01-21 Jim Dai , Dacheng Yao

We revisit the classical singular control problem of minimizing running and controlling costs. The problem arises in inventory control, as well as in healthcare management and mathematical finance. Existing studies have shown the optimality…

Probability · Mathematics 2022-07-18 Kei Noba , Kazutoshi Yamazaki

In this paper we generalize known workload decomposition results for L\'{e}vy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or…

Probability · Mathematics 2017-11-22 Onno Boxma , Offer Kella

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

Optimization and Control · Mathematics 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

This study investigates a stochastic production planning problem with regime-switching parameters, inspired by economic cycles impacting production and inventory costs. The model considers types of goods and employs a Markov chain to…

Analysis of PDEs · Mathematics 2025-05-14 Dragos-Patru Covei

Inventory control with unknown demand distribution is considered, with emphasis placed on the case involving discrete nonperishable items. We focus on an adaptive policy which in every period uses, as much as possible, the optimal…

Machine Learning · Statistics 2015-10-23 Michael N. Katehakis , Jian Yang , Tingting Zhou

In the field of fresh produce retail, vegetables generally have a relatively limited shelf life, and their quality deteriorates with time. Most vegetable varieties, if not sold on the day of delivery, become difficult to sell the following…

Econometrics · Economics 2024-09-17 Mingpu Ma

Motivated by a capacity allocation problem within a finite planning period, we conduct a transient analysis of a single-server queue with L\'evy input. From a cost minimization perspective, we investigate the error induced by using…

Probability · Mathematics 2016-04-19 Britt Mathijsen , Bert Zwart

This paper investigates a class of stochastic Logistic harvesting models driven by tempered stable processes, with a one-sided power-law L\'evy measure. We establish threshold conditions for population extinction and persistence, prove the…

Optimization and Control · Mathematics 2026-05-18 Wenmin Deng , Fu Zhang

We study periodic review stochastic inventory control in the data-driven setting where the retailer makes ordering decisions based only on historical demand observations without any knowledge of the probability distribution of the demand.…

Statistics Theory · Mathematics 2021-11-05 Xun Zhang , Zhisheng Ye , William B. Haskell

The additive process generalizes the L\'evy process by relaxing its assumption of time-homogeneous increments and hence covers a larger family of stochastic processes. Recent research in option pricing shows that modeling the underlying log…

Computational Finance · Quantitative Finance 2024-10-03 Jimin Lin , Guixin Liu

We consider a periodic review inventory control problem having an underlying modulation process that affects demand and that is partially observed by the uncensored demand process and a novel additional observation data (AOD) process. We…

Optimization and Control · Mathematics 2022-02-15 Satya S. Malladi , Alan L. Erera , Chelsea C. White

We are interested in the effect of consumer demand estimation error for new products in the context of production planning. An inventory model is proposed, whereby demand is influenced by price and advertising. The effect of parameter…

Optimization and Control · Mathematics 2015-10-23 Antoine Deza , Kai Huang , Michael R. Metel