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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 commodity markets the convergence of futures towards spot prices, at the expiration of the contract, is usually justified by no-arbitrage arguments. In this article, we propose an alternative approach that relies on the expected profit…

数理金融 · 定量金融 2018-02-27 René Aïd , Luciano Campi , Delphine Lautier

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

最优化与控制 · 数学 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

We consider the single-item single-stocking location stochastic inventory system under a fixed ordering cost component. A long-standing problem is that of determining the structure of the optimal control policy when this system is subject…

最优化与控制 · 数学 2023-09-26 Roberto Rossi , Zhen Chen , S. Armagan Tarim

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…

数据结构与算法 · 计算机科学 2015-04-27 Viswanath Nagarajan , Cong Shi

Assortment optimization concerns the problem of selling items with fixed prices to a buyer who will purchase at most one. Typically, retailers select a subset of items, corresponding to an "assortment" of brands to carry, and make each…

计算机科学与博弈论 · 计算机科学 2022-05-23 Will Ma

Demand forecasting plays an important role in many inventory control problems. To mitigate the potential harms of model misspecification, various forms of distributionally robust optimization have been applied. Although many of these…

概率论 · 数学 2018-08-21 Linwei Xin , David A. Goldberg

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

We consider a real options model for the optimal irreversible investment problem of a profit maximizing company. The company has the opportunity to invest into a production plant capable of producing two products, of which the prices follow…

数理金融 · 定量金融 2021-07-09 Felix Dammann , Giorgio Ferrari

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

投资组合管理 · 定量金融 2009-09-23 Michael J. Neely

We study a problem of an online retailer who observes the unit sales of a product, and dynamically changes the retail price, in order to maximize the expected revenue. Assuming the demand of the product is price sensitive, we are interested…

系统与控制 · 电气工程与系统科学 2021-06-17 Chengcheng Liu , Mátyás A. Sustik

We consider a multi-stage stochastic lot-sizing problem with service level constraints and supplier-driven product substitution. A firm has multiple products and it has the option to meet demand from substitutable products at a cost.…

最优化与控制 · 数学 2023-01-03 Narges Sereshti , Merve Bodur , James R. Luedtke

We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

最优化与控制 · 数学 2026-04-30 Maximilian Schaller , Stephen Boyd

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

最优化与控制 · 数学 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

We present a new microscopic stochastic model for an ensemble of interacting investors that buy and sell stocks in discrete time steps via limit orders based on individual forecasts about the price of the stock. These orders determine the…

统计力学 · 物理学 2015-06-25 C. Busshaus , H. Rieger

This paper studies the problem of optimally extracting nonrenewable natural resources. Taking into account the fact that the market values of the main natural resources i.e. oil, natural gas, copper,..., etc, fluctuate randomly following…

综合经济学 · 经济学 2018-07-23 Moustapha Pemy

The global markets provide enterprises with selling opportunities and challenges in stabilizing operational strategies. From the perspective of production management, it is important to improve the profitability of an enterprise by…

机器学习 · 计算机科学 2022-07-28 Xiaoli Yan

This paper extends the single-item single-stocking location non-stationary stochastic inventory problem to relax the assumption of independent demand. We present a mathematical programming-based solution method that relaxes the assumption…

最优化与控制 · 数学 2023-09-26 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

综合物理 · 物理学 2007-05-23 V. Granik , A. Granik

We revisit the classic Cournot model and extend it to a two-echelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier's belief about retail…

计算机科学与博弈论 · 计算机科学 2021-07-19 Constandina Koki , Stefanos Leonardos , Costis Melolidakis