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This paper addresses the challenges faced in large-volume trading, where executing substantial orders can result in significant market impact and slippage. To mitigate these effects, this study proposes a volatility-volume-based order…

计算金融 · 定量金融 2024-12-18 Ritwika Chattopadhyay , Abhishek Malichkar , Zhixuan Ren , Xinyue Zhang

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

物理与社会 · 物理学 2008-12-02 Szabolcs Mike , J. Doyne Farmer

Industrial refrigeration systems have substantial energy needs, but optimizing their operation remains challenging due to the tension between minimizing energy costs and meeting strict cooling requirements. Load shifting--strategic…

最优化与控制 · 数学 2025-10-07 Vade Shah , Yohan John , Ethan Freifeld , Lily Y. Chen , Jason R. Marden

We study the problem of optimally managing an inventory with unknown demand trend. Our formulation leads to a stochastic control problem under partial observation, in which a Brownian motion with non-observable drift can be singularly…

最优化与控制 · 数学 2022-11-28 Salvatore Federico , Giorgio Ferrari , Neofytos Rodosthenous

Booking control problems are sequential decision-making problems that occur in the domain of revenue management. More precisely, freight booking control focuses on the problem of deciding to accept or reject bookings: given a limited…

最优化与控制 · 数学 2023-04-06 Justin Dumouchelle , Emma Frejinger , Andrea Lodi

We study a single-server scheduling problem for the objective of minimizing the expected cumulative holding cost incurred by jobs, where parameters defining stochastic job holding costs are unknown to the scheduler. We consider a general…

机器学习 · 计算机科学 2022-09-22 Dabeen Lee , Milan Vojnovic

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

统计金融 · 定量金融 2008-12-02 Austin Gerig

The paper studies a large-scale order fulfillment problem for a leading e-commerce company in the United States. The challenge involves selecting fulfillment centers and shipping carriers with observational data only to efficiently process…

最优化与控制 · 数学 2025-10-16 Tinghan Ye , Sikai Cheng , Amira Hijazi , Pascal Van Hentenryck

We devise an optimal allocation strategy for the execution of a predefined number of stocks in a given time frame using the technique of discrete-time Stochastic Control Theory for a defined market model. This market structure allows an…

数理金融 · 定量金融 2019-09-25 Akshay Bansal , Diganta Mukherjee

We present a reproducible research framework for market microstructure combining a deterministic C++ limit order book (LOB) simulator with stochastic order flow generated by multivariate marked Hawkes processes. The paper derives full…

交易与市场微观结构 · 定量金融 2025-10-10 Sohaib El Karmi

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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 2022-09-13 Jose I. Caiza , Ian Walter , Jitesh H. Panchal , Junjie Qin , Philip E. Pare

We have designed an innovative portfolio rebalancing mechanism termed the Cascading Waterfall Round Robin Mechanism. This algorithmic approach recommends an ideal size and number of trades for each asset during the periodic rebalancing…

投资组合管理 · 定量金融 2024-07-18 Ravi Kashyap

The entropy regularization is inspired by information entropy from machine learning and the ideas of exploration and exploitation in reinforcement learning, which appears in the control problem to design an approximating algorithm for the…

最优化与控制 · 数学 2024-11-21 Ziyue Chen , Qi Zhang

Order flow in equity markets is remarkably persistent in the sense that order signs (to buy or sell) are positively autocorrelated out to time lags of tens of thousands of orders, corresponding to many days. Two possible explanations are…

交易与市场微观结构 · 定量金融 2014-12-02 Bence Toth , Imon Palit , Fabrizio Lillo , J. Doyne Farmer

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

交易与市场微观结构 · 定量金融 2010-06-24 Pekka Malo , Teemu Pennanen

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

交易与市场微观结构 · 定量金融 2020-01-31 Baron Law , Frederi Viens

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

计量经济学 · 经济学 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

We study an optimal execution strategy for purchasing a large block of shares over a fixed time horizon. The execution problem is subject to a general price impact that gradually dissipates due to market resilience. We allow for general…

数理金融 · 定量金融 2026-04-14 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath , Sergio Pulido

We consider the problem of scheduling appointments for a finite customer population to a service facility with customer no-shows, to minimize the sum of customer waiting time and server overtime costs. Since appointments need to be…

最优化与控制 · 数学 2017-08-22 Mor Armony , Rami Atar , Harsha Honnappa