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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

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous…

最优化与控制 · 数学 2016-11-15 Xiaodong Xu , Stevan Dubljevic

We propose a continuous-time stock-flow consistent model for inventory dynamics in an economy with firms, banks, and households. On the supply side, firms decide on production based on adaptive expectations for sales demand and a desired…

综合金融 · 定量金融 2016-10-05 Matheus Grasselli , Adrien Nguyen-Huu

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

最优化与控制 · 数学 2020-10-27 Alexey Piunovskiy , Yi Zhang

Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in…

最优化与控制 · 数学 2015-09-23 Michael N. Katehakis , Benjamin Melamed , Jim Shi

We present a novel class of minimax optimal control problems with positive dynamics, linear objective function and homogeneous constraints. The proposed problem class can be analyzed with dynamic programming and an explicit solution to the…

最优化与控制 · 数学 2023-12-11 Alba Gurpegui , Emma Tegling , Anders Rantzer

We consider a continuous-time model for inventory management with Markov modulated non-stationary demands. We introduce active learning by assuming that the state of the world is unobserved and must be inferred by the manager. We also…

最优化与控制 · 数学 2012-06-28 Erhan Bayraktar , Mike Ludkovski

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

最优化与控制 · 数学 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

We present a method for optimal control with respect to a linear cost function for positive linear systems with coupled input constraints. We show that the optimal cost function and resulting sparse state feedback for these systems can be…

最优化与控制 · 数学 2023-11-07 David Ohlin , Emma Tegling , Anders Rantzer

Inventory management is a fundamental challenge in supply chain management. The challenge is compounded when the associated products have unpredictable demands. This study proposes an innovative optimization approach combining…

最优化与控制 · 数学 2024-02-20 Sarit Maitra

In this work we will develop a new approach to solve the non repayment problem in microfinance due to the problem of asymmetric information. This approach is based on modeling and simulation of ordinary differential systems where time…

风险管理 · 定量金融 2019-07-12 Mohammed Kaicer , Abdelilah Kaddar

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

最优化与控制 · 数学 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some…

最优化与控制 · 数学 2007-10-26 D. Bauso , L. Giarré , R. Pesenti

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

最优化与控制 · 数学 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

数理金融 · 定量金融 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

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

A general nonlinear logistic equation has been proposed to model long-time saturation in industrial growth. An integral solution of this equation has been derived for any arbitrary degree of nonlinearity. A time scale for the onset of…

综合金融 · 定量金融 2009-03-03 Arnab K. Ray

In the present paper, we study the optimal execution problem under stochastic price recovery based on limit order book dynamics. We model price recovery after execution of a large order by accelerating the arrival of the refilling order,…

交易与市场微观结构 · 定量金融 2015-02-17 Masashi Ieda

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

最优化与控制 · 数学 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

We consider a general class of high-volume, fast-moving production-inventory systems based on both lost-sales and backorder inventory models. Such systems require a fundamental understanding of the asymptotic behavior of key performance…

最优化与控制 · 数学 2015-01-29 Yingdong Lu , Mark S. Squillante , David D. Yao
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