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In classic adversarial online resource allocation problems such as AdWords, customers arrive online while products are given offline with a fixed initial inventory. To ensure revenue guarantees under uncertainty, the decision maker must…

Data Structures and Algorithms · Computer Science 2025-11-21 Yiding Feng , Rad Niazadeh , Amin Saberi

In this paper, we study a bivariate distributionally robust optimization problem with mean-covariance ambiguity set and half-space support. Under a conventional type of objective function widely adopted in inventory management, option…

Optimization and Control · Mathematics 2023-01-12 Jiayi Guo , Hao Qiu , Zhen Wang , Zizhuo Wang , Xinxin Zhang

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

Quick response is a widely adopted strategy to mitigate overproduction in the manufacturing industry, yet recent research reveals a counter-intuitive paradox: while it reduces waste from unsold finished goods, it may incentivize firms to…

Optimization and Control · Mathematics 2026-02-11 Panayotis P. Papavassilopoulos , Grani A. Hanasusanto , Yijie Wang

We develop a stochastic inventory system which accounts for the limited patience of backlogged customers. While limited patience is a feature that is closer to the nature of unmet demand, our model also unifies the classic backlogging and…

Optimization and Control · Mathematics 2024-04-02 Andrew E. B. Lim , Zhao-Xuan Wei , Hanqin Zhang

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

Optimization and Control · Mathematics 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

Optimization and Control · Mathematics 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

Optimization and Control · Mathematics 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

Major players in e-commerce process dynamically incoming orders in real-time and already use advanced anticipation techniques, like AI, to predict characteristics of future orders. However, at the warehousing level, there are still no…

Optimization and Control · Mathematics 2024-10-21 Catherine Lorenz , Alena Otto , Michel Gendreau

Assortment optimization is a fundamental challenge in modern retail and recommendation systems, where the goal is to select a subset of products that maximizes expected revenue under complex customer choice behaviors. While recent advances…

Machine Learning · Statistics 2026-03-11 Miao Lu , Yuxuan Han , Han Zhong , Zhengyuan Zhou , Jose Blanchet

Stochastic allocation of resources in the context of wireless systems ultimately demands reactive decision making for meaningfully optimizing network-wide random utilities, while respecting certain resource constraints. Standard…

Signal Processing · Electrical Eng. & Systems 2023-12-05 Gokberk Yaylali , Dionysios S. Kalogerias

Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario reduction is therefore a key technique for improving tractability. We…

Optimization and Control · Mathematics 2026-03-10 Kevin-Martin Aigner , Sebastian Denzler , Frauke Liers , Sebastian Pokutta , Kartikey Sharma

Electric vehicles (EVs) are being rapidly adopted due to their economic and societal benefits. Autonomous mobility-on-demand (AMoD) systems also embrace this trend. However, the long charging time and high recharging frequency of EVs pose…

Optimization and Control · Mathematics 2022-11-28 Sihong He , Zhili Zhang , Shuo Han , Lynn Pepin , Guang Wang , Desheng Zhang , John Stankovic , Fei Miao

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…

Optimization and Control · Mathematics 2025-10-16 Tinghan Ye , Sikai Cheng , Amira Hijazi , Pascal Van Hentenryck

Distributionally robust optimisation (DRO) minimises the worst-case expected loss over an ambiguity set that can capture distributional shifts in out-of-sample environments. While Huber (linear-vacuous) contamination is a classical…

Machine Learning · Statistics 2026-01-30 Mengqi Chen , Thomas B. Berrett , Theodoros Damoulas , Michele Caprio

Portfolio optimization (PO) is a core tool in financial and operational decision-making, typically balancing expected profit and risk. In real-world applications, particularly in the energy sector, decision variables can be expressed as…

Optimization and Control · Mathematics 2026-01-14 Isabel Barros Garcia , Jérémie Messud

Optimal resource allocation in wireless systems still stands as a rather challenging task due to the inherent statistical characteristics of channel fading. On the one hand, minimax/outage-optimal policies are often overconservative and…

Signal Processing · Electrical Eng. & Systems 2024-01-31 Gokberk Yaylali , Dionysios S. Kalogerias

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
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