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When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

统计理论 · 数学 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

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 present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

最优化与控制 · 数学 2024-06-21 I. B. Wadhawan , M. M. Rizvi

We consider a manufacturer who manages the end-of-life phase and takes one of the three actions at each period: (1) place an order, (2) use existing inventory, (3) stop holding inventory and use an outside/alternative source. Two examples…

最优化与控制 · 数学 2021-10-26 Emin Ozyoruk , Nesim K. Erkip , Çağın Ararat

This paper investigates the asymptotic behaviour of solutions to certain infinite systems of coupled recurrence relations. In particular, we obtain a characterisation of those initial values which lead to a convergent solution, and for…

泛函分析 · 数学 2019-02-14 L. Paunonen , D. Seifert

Advanced integration of logistics systems has been promoted for the sake of competitiveness and sustainability. Such efforts will enable more globally optimal and flexible operations by efficiently utilizing transportation capacity. At the…

物理与社会 · 物理学 2022-03-29 Takahiro Ezaki , Naoto Imura , Katsuhiro Nishinari

Inventory management in warehouses directly affects profits made by manufacturers. Particularly, large manufacturers produce a very large variety of products that are handled by a significantly large number of retailers. In such a case, the…

人工智能 · 计算机科学 2022-04-29 Soh Kumabe , Shinya Shiroshita , Takanori Hayashi , Shirou Maruyama

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

Given data generated by an observable stochastic process, we study how to construct statistically optimal decisions for general stochastic optimization problems. Our setting encompasses non-standard data structures, including data…

最优化与控制 · 数学 2025-08-01 Radek Salač , Michael Kupper , Tobias Sutter

The problem of portfolio optimization when stochastic factors drive returns and volatilities has been studied in previous works by the authors. In particular, they proposed asymptotic approximations for value functions and optimal…

数理金融 · 定量金融 2021-10-15 Jean-Pierre Fouque , Ruimeng Hu , Ronnie Sircar

This is a companion paper to (Cai, Rosenbaum and Tankov, Asymptotic lower bounds for optimal tracking: a linear programming approach, arXiv:1510.04295). We consider a class of strategies of feedback form for the problem of tracking and…

概率论 · 数学 2016-04-01 Jiatu Cai , Mathieu Rosenbaum , Peter Tankov

We study the problem of determining how much finished goods inventory to source from different capacitated facilities in order to maximize profits resulting from sales of such inventory. We consider a problem wherein there is uncertainty in…

最优化与控制 · 数学 2025-07-01 Mike Hewitt , Giovanni Pantuso

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

统计金融 · 定量金融 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

机器学习 · 计算机科学 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

We derive a continuous time model for the joint evolution of the mid price and the bid-ask spread from a multiscale analysis of the whole limit order book (LOB) dynamics. We model the LOB as a multiclass queueing system and perform our…

交易与市场微观结构 · 定量金融 2013-10-07 Jose Blanchet , Xinyun Chen

Technological advances allow manufacturers to collect and access data from a production system effectively. The objective of data collection is to deploy the collected data in developing decision support systems for performance evaluation,…

系统与控制 · 电气工程与系统科学 2022-04-05 Nima Manafzadeh Dizbin

Supply networks are essential for modern production, yet their critical properties remain understudied. We present a stochastic model with random production capacities to analyze material flow to a root node, focusing on topology and buffer…

物理与社会 · 物理学 2025-06-02 Yannick Feld , Marc Barthelemy

We propose a static equilibrium model for limit order book where profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory, who…

交易与市场微观结构 · 定量金融 2020-03-11 Umut Çetin , Henri Waelbroeck

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

Supply chain optimization schemes have more often than not underplayed the role of inherent stochastic fluctuations in the associated variables. The present article focuses on the associated reengagement and correlated renormalization of…

最优化与控制 · 数学 2015-01-26 Kostas Petridis , Amit K. Chattopadhyay , Prasanta K. Dey