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We develop a novel mathematical programming approximation framework to tackle the stochastic knapsack problem. In this problem, the decision maker considers items for which either weights or values, or both, are random. The aim is to select…

Optimization and Control · Mathematics 2025-12-18 Roberto Rossi , Steven D. Prestwich , S. Armagan Tarim

We study a general model on reusable resource allocation under model uncertainty. A heterogeneous population of customers arrive at the decision maker's (DM's) platform sequentially. Upon observing a customer's type, the DM selects an…

Optimization and Control · Mathematics 2022-12-07 Xilin Zhang , Wang Chi Cheung

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

Selling a perfectly divisible item to potential buyers is a fundamental task with apparent applications to pricing communication bandwidth and cloud computing services. Surprisingly, despite the rich literature on single-item auctions,…

Computer Science and Game Theory · Computer Science 2025-02-11 Ioannis Caragiannis , Zhile Jiang , Apostolis Kerentzis

Congestion pricing has become an effective instrument for traffic demand management on road networks. This paper proposes an optimal control approach for congestion pricing for day-to-day timescale that incorporates demand uncertainty and…

Systems and Control · Computer Science 2019-07-23 Hemant Gehlot , Harsha Honnappa , Satish V. Ukkusuri

We study the dynamic pricing of discrete goods over a finite selling horizon. One way to capture both the elastic and stochastic reaction of purchases to price is through a model where sellers control the intensity of a counting process,…

Optimization and Control · Mathematics 2026-01-23 Burak Aydin , Emre Parmaksiz , Ronnie Sircar

In a Shared Mobility on Demand Service (SMoDS), dynamic pricing plays an important role in the form of an incentive for the decision of the empowered passenger on the ride offer. Strategies for determining the dynamic tariff should be…

Optimization and Control · Mathematics 2020-07-06 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

Accurate aircraft-mass estimation is critical to airlines from the safety-management and performance-optimization viewpoints. Overloading an aircraft with passengers and baggage might result in a safety hazard. In contrast, not fully…

Machine Learning · Computer Science 2020-12-14 Xinyu He , Fang He , Xinting Zhu , Lishuai Li

We consider the problem of pricing a reusable resource service system. Potential customers arrive according to a Poisson process and purchase the service if their valuation exceeds the current price. If no units are available, customers…

Computer Science and Game Theory · Computer Science 2025-02-14 Adam N. Elmachtoub , Jiaqi Shi

The relationship between demand and prices of a set of products can be modeled as a linear mapping from logarithmic price changes to logarithmic changes in demand. We consider the problem of estimating the coefficient matrix of this…

Optimization and Control · Mathematics 2026-04-15 Maximilian Schaller , Stephen Boyd

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to…

A system manager makes dynamic pricing and dispatch control decisions in a queueing network model motivated by ride-hailing applications. A novel feature of the model is that it incorporates travel times. Unfortunately, this renders the…

Optimization and Control · Mathematics 2026-05-27 Amir Anastasios Alwan , Baris Ata , Yuwei Zhou

We consider a fundamental pricing model in which a fixed number of units of a reusable resource are used to serve customers. Customers arrive to the system according to a stochastic process and upon arrival decide whether or not to purchase…

Data Structures and Algorithms · Computer Science 2020-02-12 Omar Besbes , Adam N. Elmachtoub , Yunjie Sun

We study revenue maximization in a buyer-seller setting where the seller has a single object and the buyer has both a private valuation and a private budget. Private budgets complicate the classic single-product monopoly problem, making…

Computer Science and Game Theory · Computer Science 2026-04-30 Juan Carlos Carbajal , Ahuva Mualem

We study problems arising in real-time auction markets, common in e-commerce and computational advertising, where bidders face the problem of calculating optimal bids. We focus upon a contract management problem where a demand aggregator is…

Computational Engineering, Finance, and Science · Computer Science 2022-06-28 Ryan J. Kinnear , Ravi R. Mazumdar , Peter Marbach

We consider the problem of optimizing the distribution operations at a drone hub that dispatches drones to different geographic locations generating stochastic demands for medical supplies. Drone delivery is an innovative method that…

Optimization and Control · Mathematics 2021-11-30 Amin Asadi , Sarah Nurre Pinkley , Martijn Mes

A significant portion of a consumer's annual electrical costs can be made up of coincident peak charges: a transmission surcharge for power consumed when the entire system is at peak demand. This charge occurs only a few times annually, but…

Optimization and Control · Mathematics 2019-08-05 Chase P. Dowling , Baosen Zhang

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

Optimization and Control · Mathematics 2026-02-03 Tianze Qu , Sushil Mahavir Varma

Contextual dynamic pricing aims to set personalized prices based on sequential interactions with customers. At each time period, a customer who is interested in purchasing a product comes to the platform. The customer's valuation for the…

Machine Learning · Statistics 2023-03-07 Yiyun Luo , Will Wei Sun , and Yufeng Liu