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We consider a heterogeneous distributed service system, consisting of $n$ servers with unknown and possibly different processing rates. Jobs with unit mean and independent processing times arrive as a renewal process of rate $\lambda n$,…

性能 · 计算机科学 2020-07-15 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

This paper studies stability of the exponential utility maximization when there are small variations on agent's utility function. Two settings are considered. First, in a general semimartingale model where random endowments are present, a…

投资组合管理 · 定量金融 2013-09-04 Hao Xing

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local…

概率论 · 数学 2023-03-21 Sonja Otten

We consider the revenue management problem of finding profit-maximising prices for delivery time slots in the context of attended home delivery. This multi-stage optimal control problem admits a dynamic programming formulation that is…

最优化与控制 · 数学 2020-08-04 Denis Lebedev , Kostas Margellos , Paul Goulart

We develop a parsimonious model of an e-commerce fulfillment center that offers time-dependent shipment options and corresponding fees to utility-maximizing customers arriving according to a Poisson process. For any such policy, we provide…

最优化与控制 · 数学 2025-11-26 Uta Mohring , Melvin Drent , Ivo Adan , Willem van Jaarsveld

We study dynamic joint assortment and pricing where a seller updates decisions at regular accounting/operating intervals to maximize the cumulative per-period revenue over a horizon $T$. In many settings, assortment and prices affect not…

机器学习 · 统计学 2026-02-20 Junhui Cai , Ran Chen , Qitao Huang , Linda Zhao , Wu Zhu

This paper tackles challenges in pricing and revenue projections due to consumer uncertainty. We propose a novel data-based approach for firms facing unknown consumer type distributions. Unlike existing methods, we assume firms only observe…

理论经济学 · 经济学 2024-05-28 Duarte Gonçalves , Bruno A. Furtado

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

最优化与控制 · 数学 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

系统与控制 · 电气工程与系统科学 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

In this paper, we study the operational problem of connected hydro power reservoirs which involves sequential decision-making in an uncertain and dynamic environment. The problem is traditionally formulated as a stochastic dynamic program…

最优化与控制 · 数学 2022-05-17 Farzaneh Pourahmadi , Trine Krogh Boomsma

Utilities use demand response to shift or reduce electricity usage of flexible loads, to better match electricity demand to power generation. A common mechanism is peak pricing (PP), where consumers pay reduced (increased) prices for…

最优化与控制 · 数学 2017-10-02 John Audie Cabrera , Yonatan Mintz , Jhoanna Rhodette Pedrasa , Anil Aswani

Problem definition: Supply chains are constantly evolving networks. Reinforcement learning is increasingly proposed as a solution to provide optimal control of these networks. Academic/practical: However, learning in continuously varying…

系统与控制 · 电气工程与系统科学 2023-12-27 Wan Wang , Haiyan Wang , Adam J. Sobey

We study a centralized discrete-time dynamic two-way matching model with finitely many agent types. Agents arrive stochastically over time and join their type-dedicated queues waiting to be matched. We focus on availability-based policies…

数据结构与算法 · 计算机科学 2026-02-19 Süleyman Kerimov , Pengyu Qian , Mingwei Yang , Sophie H. Yu

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

We consider a two-stage robust facility location problem on a metric under an uncertain demand. The decision-maker needs to decide on the (integral) units of supply for each facility in the first stage to satisfy an uncertain second-stage…

最优化与控制 · 数学 2020-11-11 Omar El Housni , Vineet Goyal , David Shmoys

We study network revenue management problems motivated by applications such as railway ticket sales and hotel room bookings. Requests, each requiring a resource for a consecutive stay, arrive sequentially with known arrival probabilities.…

理论经济学 · 经济学 2026-01-07 Ming Hu , Tongwen Wu

We consider a Markovian single server queue with impatient customers. There is a customer abandonment cost and a holding cost for customers in the system. We consider two versions of the problem. In the first version, customers pay a reward…

最优化与控制 · 数学 2025-11-12 Runhua Wu , Hayriye Ayhan

Retailers have significant potential to improve recommendations through strategic bundling and pricing. By taking into account different types of customers and their purchasing decisions, retailers can better accommodate customer…

最优化与控制 · 数学 2024-09-06 Maxime Bouscary , Mazen Danaf , Saurabh Amin

In this paper, we develop mixed integer linear programming models to compute near-optimal policy parameters for the non-stationary stochastic lot sizing problem under Bookbinder and Tan's static-dynamic uncertainty strategy. Our models…

最优化与控制 · 数学 2014-09-18 Roberto Rossi , Onur A. Kilic , S. Armagan Tarim

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

机器学习 · 统计学 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak