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We consider competitive facility location as a two-stage multi-agent system with two types of clients. For a given host graph with weighted clients on the vertices, first facility agents strategically select vertices for opening their…

计算机科学与博弈论 · 计算机科学 2024-07-10 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Marc Uetz , Marnix C. Vos

We present a solution for a two-phase facility planning scenario where in the first phase, there is some flexibility in determining where the locations of facilities (or sources) should fall. And in the second phase, new waypoints (or…

最优化与控制 · 数学 2020-09-08 Larkin Liu

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

最优化与控制 · 数学 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca

We propose stochastic optimization methodologies for a staffing and capacity planning problem arising from home care practice. Specifically, we consider the perspective of a home care agency that must decide the number of caregivers to hire…

最优化与控制 · 数学 2022-03-29 Ridong Wang , Karmel S. Shehadeh , Xiaolei Xie , Lefei Li

Matching demand (riders) to supply (drivers) efficiently is a fundamental problem for ride-sharing platforms who need to match the riders (almost) as soon as the request arrives with only partial knowledge about future ride requests. A…

最优化与控制 · 数学 2025-08-07 Omar El Housni , Vineet Goyal , Oussama Hanguir , Clifford Stein

We consider $k$-Facility Location games, where $n$ strategic agents report their locations on the real line, and a mechanism maps them to $k\ge 2$ facilities. Each agent seeks to minimize her distance to the nearest facility. We are…

计算机科学与博弈论 · 计算机科学 2024-03-05 Dimitris Fotakis , Panagiotis Patsilinakos

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

最优化与控制 · 数学 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Uncertain optimization problems with decision dependent information discovery allow the decision maker to control the timing of information discovery, in contrast to the classic multistage setting where uncertain parameters are revealed…

最优化与控制 · 数学 2022-08-09 Rosario Paradiso , Angelos Georghiou , Said Dabia , Denise Tönissen

In this paper, we consider the scenario-based two-stage stochastic DC optimal power flow (OPF) problem for optimal and reliable dispatch when the load is facing uncertainty. Although this problem is a linear program, it remains…

系统与控制 · 电气工程与系统科学 2024-09-17 Ling Zhang , Daniel Tabas , Baosen Zhang

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

计算机科学与博弈论 · 计算机科学 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

最优化与控制 · 数学 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam

Facility Location problems ask to place facilities in a way that optimizes a given objective function so as to provide a service to all clients. These are one of the most well-studied optimization problems spanning many research areas such…

数据结构与算法 · 计算机科学 2020-07-01 Christine Markarian , Abdul-Nasser Kassar , Manal Yunis

Assemble-to-order approaches deal with randomness in demand for end items by producing components under uncertainty, but assembling them only after demand is observed. Such planning problems can be tackled by stochastic programming, but…

最优化与控制 · 数学 2023-11-23 Daniele Giovanni Gioia , Edoardo Fadda , Paolo Brandimarte

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

计算机科学与博弈论 · 计算机科学 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

We study a distributed facility location problem in which a set of agents, each with a private position on the real line, is partitioned into a collection of fixed, disjoint groups. The goal is to open $k$ facilities at locations chosen…

计算机科学与博弈论 · 计算机科学 2026-01-22 Argyrios Deligkas , Panagiotis Kanellopoulos , Alexandros A. Voudouris

In this paper, we take a mechanism design approach to optimal assignment problems with asymmetrically informed buyers. In addition, the surplus generated by an assignment of a buyer to a seller may be adversely affected by externalities…

理论经济学 · 经济学 2023-05-03 Tatiana Daddario , Richard P. McLean , Andrew Postlewaite

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

The two-stage stochastic unit commitment problem has become an important tool to support decision-making under uncertainty in power systems. Representing the uncertainty by a large number of scenarios guarantees accurate results but…

最优化与控制 · 数学 2025-12-23 Yannick Werner , Juan Miguel Morales , Salvador Pineda , Line Roald , Sonja Wogrin

We study piecewise affine policies for multi-stage adjustable robust optimization (ARO) problems with non-negative right-hand side uncertainty. First, we construct new dominating uncertainty sets and show how a multi-stage ARO problem can…

最优化与控制 · 数学 2024-02-06 Simon Thomä , Grit Walther , Maximilian Schiffer