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Motivated by applications in online marketplaces such as ride-hailing, we study how strategic servers impact the system performance. We consider a discrete-time process in which, heterogeneous types of customers and servers arrive. Each…

最优化与控制 · 数学 2021-06-25 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

We consider the non-stationary stochastic lot sizing problem with backorder costs and make a cost comparison among different lot-sizing strategies. We initially provide an overview of the strategies and some corresponding solution…

最优化与控制 · 数学 2021-08-12 Gozdem Dural-Selcuk , Onur A. Kilic , S. Armagan Tarim , Roberto Rossi

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

数据结构与算法 · 计算机科学 2023-10-25 Andre Linhares , Chaitanya Swamy

Contemporary industrial parks are challenged by the growing concerns about high cost and low efficiency of energy supply. Moreover, in the case of uncertain supply/demand, how to mobilize delay-tolerant elastic loads and compensate…

系统与控制 · 电气工程与系统科学 2022-04-11 Dafeng Zhu , Bo Yang , Chengbin Ma , Zhaojian Wang , Shanying Zhu , Kai Ma , Xinping Guan

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

最优化与控制 · 数学 2024-01-04 Yuya Hikima , Akiko Takeda

We consider a bilevel continuous knapsack problem where the leader controls the capacity of the knapsack, while the follower chooses a feasible packing maximizing his own profit. The leader's aim is to optimize a linear objective function…

数据结构与算法 · 计算机科学 2022-07-19 Christoph Buchheim , Dorothee Henke , Jannik Irmai

We study a two-level uncapacitated lot-sizing problem with inventory bounds that occurs in a supply chain composed of a supplier and a retailer. The first level with the demands is the retailer level and the second one is the supplier…

计算复杂性 · 计算机科学 2018-02-05 Siao-Leu Phouratsamay , Safia Kedad-Sidhoum , Fanny Pascual

Production systems deteriorate stochastically due to usage and may eventually break down, resulting in high maintenance costs at scheduled maintenance moments. This deterioration behavior is affected by the system's production rate. While…

最优化与控制 · 数学 2023-12-07 Collin Drent , Melvin Drent , Joachim Arts

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

Day-ahead scheduling of electricity generation or unit commitment is an important and challenging optimization problem in power systems. Variability in net load arising from the increasing penetration of renewable technologies have…

最优化与控制 · 数学 2018-08-06 Ali Irfan Mahmutogullari , Shabbir Ahmed , Ozlem Cavus , M. Selim Akturk

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

系统与控制 · 电气工程与系统科学 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

The problem of multi-area interchange scheduling in the presence of stochastic generation and load is considered. A new interchange scheduling technique based on a two-stage stochastic minimization of overall expected operating cost is…

系统与控制 · 计算机科学 2016-01-12 Yuting Ji , Tongxin Zheng , Lang Tong

Many stochastic optimization problems include chance constraints that enforce constraint satisfaction with a specific probability; however, solving an optimization problem with chance constraints assumes that the solver has access to the…

最优化与控制 · 数学 2021-09-21 Joshua Comden , Ahmed S. Zamzam , Andrey Bernstein

This paper presents a stochastic, model predictive control (MPC) algorithm that leverages short-term probabilistic forecasts for dispatching and rebalancing Autonomous Mobility-on-Demand systems (AMoD, i.e. fleets of self-driving vehicles).…

系统与控制 · 计算机科学 2018-05-07 Matthew Tsao , Ramon Iglesias , Marco Pavone

Rolling forecasts have been almost overlooked in the renewable energy storage literature. In this paper, we provide a new approach for handling uncertainty not just in the accuracy of a forecast, but in the evolution of forecasts over time.…

最优化与控制 · 数学 2022-04-18 Saeed Ghadimi , Warren B. Powell

Multi-stage decision-making under uncertainty, where decisions are taken under sequentially revealing uncertain problem parameters, is often essential to faithfully model managerial problems. Given the significant computational challenges…

最优化与控制 · 数学 2026-04-30 Simon Thomä , Maximilian Schiffer , Wolfram Wiesemann

In planning problems, it is often challenging to fully model the desired specifications. In particular, in human-robot interaction, such difficulty may arise due to human's preferences that are either private or complex to model.…

机器人学 · 计算机科学 2021-01-01 Mahsa Ghasemi , Evan Scope Crafts , Bo Zhao , Ufuk Topcu

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

数据结构与算法 · 计算机科学 2015-04-27 Viswanath Nagarajan , Cong Shi

To model combinatorial decision problems involving uncertainty and probability, we introduce scenario based stochastic constraint programming. Stochastic constraint programs contain both decision variables, which we can set, and stochastic…

人工智能 · 计算机科学 2009-03-09 S. Armagan Tarim , Suresh Manandhar , Toby Walsh

Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in…

最优化与控制 · 数学 2015-09-23 Michael N. Katehakis , Benjamin Melamed , Jim Shi