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Related papers: Cash-Flow Based Dynamic Inventory Management

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This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

Optimization and Control · Mathematics 2021-08-13 Zhen Chen , Roberto Rossi

Inventory management problems with periodic and controllable resets occur in the context of managing water storage in the developing world and retailing limited-time availability products. In this paper, we consider a set of sequential…

Optimization and Control · Mathematics 2022-09-09 Yoon Lee , Yonatan Mintz , Anil Aswani , Zuo-Jun Max Shen , Cong Yang

We study how to unwind stochastic order flow with minimal transaction costs. Stochastic order flow arises, e.g., in the central risk book (CRB), a centralized trading desk that aggregates order flows within a financial institution. The desk…

Trading and Market Microstructure · Quantitative Finance 2025-11-14 Marcel Nutz , Kevin Webster , Long Zhao

We introduce capital flow constraints, loss of good will and loan to the lot sizing problem. Capital flow constraint is different from traditional capacity constraints: when a manufacturer launches production, its present capital should not…

Computational Engineering, Finance, and Science · Computer Science 2019-12-18 Zhen Chen , Ren-qian Zhang

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.…

Optimization and Control · Mathematics 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

This paper introduces capital flow to the single item stochastic lot sizing problem. A retailer can leverage business overdraft to deal with unexpected capital shortage, but needs to pay interest if its available balance goes below zero. A…

Computational Engineering, Finance, and Science · Computer Science 2017-06-20 Zhen Chen , Roberto Rossi , Ren-qian Zhang

We consider a continuous-review inventory system in which the setup cost of each order is a general function of the order quantity and the demand process is modeled as a Brownian motion with a positive drift. Assuming the holding and…

Optimization and Control · Mathematics 2020-09-03 Shuangchi He , Dacheng Yao , Hanqin Zhang

In this paper, we formulate an optimal ordering policy as a stochastic control problem where each firm decides the amount of input goods to order from their upstream suppliers based on the current inventory level of its output good. For…

Optimization and Control · Mathematics 2022-09-13 Jose I. Caiza , Ian Walter , Jitesh H. Panchal , Junjie Qin , Philip E. Pare

Lost sales inventory models with large lead times, which arise in many practical settings, are notoriously difficult to optimize due to the curse of dimensionality. In this paper we show that when lead times are large, a very simple…

Optimization and Control · Mathematics 2014-09-05 David A. Goldberg , Dmitriy A. Katz-Rogozhnikov , Yingdong Lu , Mayank Sharma , Mark S. Squillante

We consider a periodic-review, fixed-lifetime perishable inventory control problem where demand is a general stochastic process. The optimal solution for this problem is intractable due to "curse of dimensionality". In this paper, we first…

Optimization and Control · Mathematics 2016-05-10 Can Zhang , Turgay Ayer , Chelsea C. White

High-tech systems are typically produced in two stages: 1) Production of components using specialized equipment and staff; 2) System assembly/integration. Component production capacity is subject to fluctuations, causing a high risk of…

Probability · Mathematics 2024-04-18 Mirjam S. Meijer , Dennis Schol , Willem van Jaarsveld , Maria Vlasiou , Bert Zwart

We study how an e-commerce firm should make real-time fulfillment decisions in a two-layer distribution network when multi-item customer orders arrive sequentially and future demand is unknown. The central managerial tension is whether to…

Machine Learning · Computer Science 2026-05-26 Xi Chen , Yuze Chen , Ziyi Chen , Yuan Zhou

We consider a manufacturing plant that purchases raw materials for product assembly and then sells the final products to customers. There are M types of raw materials and K types of products, and each product uses a certain subset of raw…

Optimization and Control · Mathematics 2010-04-06 Michael J. Neely , Longbo Huang

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…

Optimization and Control · Mathematics 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

Organizations use cash management models to control balances to both avoid overdrafts and obtain a profit from short-term investments. Most management models are based on control bounds which are derived from the assumption of a particular…

Computational Finance · Quantitative Finance 2024-01-17 Francisco Salas-Molina

This paper investigates a multi-product stochastic inventory problem in which a cash-constrained online retailer can adopt order-based loan provided by some Chinese e-commerce platforms to speed up its cash recovery for deferred revenue. We…

Optimization and Control · Mathematics 2020-12-10 Zhen Chen , Ren-qian Zhang

Retailers use a variety of mechanisms to enable sales and delivery. A relatively new offering by companies is curbside pickup where customers purchase goods online, schedule a pickup time, and come to a pickup facility to receive their…

Optimization and Control · Mathematics 2020-05-27 Bahar Çavdar , Tuğçe Işık

We study the classical single-item inventory system in which unsatisfied demands are backlogged. Replenishment lead times are random, independent identically distributed, causing orders to cross in time. We develop a new inventory policy to…

Probability · Mathematics 2021-02-02 Alexander Stolyar , Qiong Wang

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…

Optimization and Control · Mathematics 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

The growing need for companies to reduce costs and maximize profits has led to an increased focus on logistics activities. Among these, inventory management plays a crucial role in minimizing organizational expenses by optimizing the…

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