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相关论文: Inventory Control Using a L\'evy Process for Evalu…

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Industrial Vending Machines (IVMs) automate the dispensing of a variety of supplies like safety equipment and tools at customer sites, providing 24/7 access while tracking inventory in real-time. Industrial distribution companies typically…

最优化与控制 · 数学 2025-03-19 Karina M. Sindermann , Esma S. Gel , Nesim K. Erkip

This paper aims at semi-parametrically estimating the input process to a L\'evy-driven queue by sampling the workload process at Poisson times. We construct a method-of-moments based estimator for the L\'evy process' characteristic…

概率论 · 数学 2019-01-31 Liron Ravner , Onno Boxma , Michel Mandjes

Forecasts of product demand are essential for short- and long-term optimization of logistics and production. Thus, the most accurate prediction possible is desirable. In order to optimally train predictive models, the deviation of the…

机器学习 · 计算机科学 2020-04-23 Dominik Martin , Philipp Spitzer , Niklas Kühl

We present an approach for pricing European call options in presence of proportional transaction costs, when the stock price follows a general exponential L\'{e}vy process. The model is a generalization of the celebrated work of Davis,…

数理金融 · 定量金融 2021-06-18 Nicola Cantarutti , João Guerra , Manuel Guerra , Maria do Rosário Grossinho

In this paper we propose a general derivative pricing framework which employs decoupled time-changed (DTC) L\'evy processes to model the underlying asset of contingent claims. A DTC L\'evy process is a generalized time-changed L\'evy…

证券定价 · 定量金融 2015-02-03 Lorenzo Torricelli

In this paper we address the problem of learning and backtesting inventory control policies in the presence of general arrival dynamics -- which we term as a quantity-over-time arrivals model (QOT). We also allow for order quantities to be…

机器学习 · 计算机科学 2024-01-23 Sohrab Andaz , Carson Eisenach , Dhruv Madeka , Kari Torkkola , Randy Jia , Dean Foster , Sham Kakade

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

最优化与控制 · 数学 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

In this paper, we study the offline sequential feature-based pricing and inventory control problem where the current demand depends on the past demand levels and any demand exceeding the available inventory is lost. Our goal is to leverage…

机器学习 · 统计学 2026-03-12 Korel Gundem , Zhengling Qi

This paper discusses the revenue management (RM) problem to maximize revenue by pricing items or services. One challenge in this problem is that the demand distribution is unknown and varies over time in real applications such as airline…

机器学习 · 计算机科学 2024-05-09 Kazuma Shimizu , Junya Honda , Shinji Ito , Shinji Nakadai

We study a version of the stochastic control problem of minimizing the sum of running and controlling costs, where control opportunities are restricted to independent Poisson arrival times. Under a general setting driven by a general L\'evy…

最优化与控制 · 数学 2024-11-19 Kei Noba , Kazutoshi Yamazaki

We consider the following Markovian dynamic on point processes: at constant rate and with equal probability, either the rightmost atom of the current configuration is removed, or a new atom is added at a random distance from the rightmost…

概率论 · 数学 2017-11-22 Peter Lakner , Josh Reed , Florian Simatos

We study the problem of forecasting the number of units fulfilled (or ``drained'') from each inventory warehouse to meet customer demand, along with the associated outbound shipping costs. The actual drain and shipping costs are determined…

机器学习 · 计算机科学 2025-07-16 Riccardo Savorgnan , Udaya Ghai , Carson Eisenach , Dean Foster

We consider the impulse control of Levy processes under the infinite horizon, discounted cost criterion. Our motivating example is the cash management problem in which a controller is charged a fixed plus proportional cost for adding to or…

概率论 · 数学 2022-06-10 Peter Lakner , Josh Reed

We introduce an algorithm for the pricing of finite expiry American options driven by L\'evy processes. The idea is to tweak Carr's `Canadisation' method, cf. Carr [9] (see also Bouchard et al [5]), in such a way that the adjusted algorithm…

概率论 · 数学 2013-04-17 Florian Kleinert , Kees van Schaik

This article presents a new continuous-time modelling framework for multivariate time series of counts which have an infinitely divisible marginal distribution. The model is based on a mixed moving average process driven by L\'{e}vy noise -…

统计方法学 · 统计学 2016-08-11 Almut E. D. Veraart

This tutorial describes recently developed general optimality conditions for Markov Decision Processes that have significant applications to inventory control. In particular, these conditions imply the validity of optimality equations and…

最优化与控制 · 数学 2016-06-06 Eugene A. Feinberg

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 paper we study a periodic-review single-commodity setup-cost inventory model with backorders and holding/backlog costs satisfying quasiconvexity assumptions. We show that the Markov decision process for this inventory model…

最优化与控制 · 数学 2017-11-09 Eugene A. Feinberg , Yan Liang

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

最优化与控制 · 数学 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

数据结构与算法 · 计算机科学 2019-12-03 Thomas Bosman , Neil Olver