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We consider optimizing average queueing delay and average power consumption in a nonpreemptive multi-class M/G/1 queue with dynamic power control that affects instantaneous service rates. Four problems are studied: (1) satisfying per-class…

最优化与控制 · 数学 2011-01-17 Chih-ping Li , Michael J. Neely

Information theoretic criteria (ITC) have been widely adopted in engineering and statistics for selecting, among an ordered set of candidate models, the one that better fits the observed sample data. The selected model minimizes a penalized…

机器学习 · 统计学 2019-10-10 Andrea Mariani , Andrea Giorgetti , Marco Chiani

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

最优化与控制 · 数学 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

计算机科学与博弈论 · 计算机科学 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

最优化与控制 · 数学 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

最优化与控制 · 数学 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

Inventory and queueing systems are often designed by controlling weighted combination of some time-averaged performance metrics (like cumulative holding, shortage, server-utilization or congestion costs); but real-world constraints, like…

最优化与控制 · 数学 2025-07-01 Madhu Dhiman , Veeraruna Kavitha , Nandyala Hemachandra

We consider the dynamic assortment optimization problem under the multinomial logit model (MNL) with unknown utility parameters. The main question investigated in this paper is model mis-specification under the $\varepsilon$-contamination…

机器学习 · 统计学 2022-07-12 Xi Chen , Akshay Krishnamurthy , Yining Wang

To take unit commitment (UC) decisions under uncertain net load, most studies utilize a stochastic UC (SUC) model that adopts a one-size-fits-all representation of uncertainty. Disregarding contextual information such as weather forecasts…

最优化与控制 · 数学 2022-12-01 Ogun Yurdakul , Feng Qiu , Sahin Albayrak

We consider high-dimensional estimation problems where the number of parameters diverges with the sample size. General conditions are established for consistency, uniqueness, and asymptotic normality in both unpenalized and penalized…

统计理论 · 数学 2025-04-08 Jana Gauss , Thomas Nagler

A distributed nonsmooth robust resource allocation problem with cardinality constrained uncertainty is investigated in this paper. The global objective is consisted of local objectives, which are convex but nonsmooth. Each agent is…

最优化与控制 · 数学 2019-11-05 Yue Wei , Shuxin Ding , Hao Fang , Xianlin Zeng , Qingkai Yang , Bin Xin

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

最优化与控制 · 数学 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

A class of exact penalty-type local search methods for optimal control problems with nonsmooth cost functional, nonsmooth (but continuous) dynamics, and nonsmooth state and control constraints is presented, in which the the penalty…

最优化与控制 · 数学 2023-02-21 M. V. Dolgopolik

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

计算机科学与博弈论 · 计算机科学 2015-03-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

We study continuity and robustness properties of infinite-horizon average expected cost problems with respect to (controlled) transition kernels, and applications of these results to the problem of robustness of control policies designed…

系统与控制 · 电气工程与系统科学 2020-12-22 Ali Devran Kara , Maxim Raginsky , Serdar Yuksel

A new method of deriving comparative statics information using generalized compensated derivatives is presented which yields constraint-free semidefiniteness results for any differentiable, constrained optimization problem. More generally,…

最优化与控制 · 数学 2013-10-29 M. Hossein Partovi , Michael R. Caputo

This paper presents a distributed model predictive control (DMPC) algorithm for heterogeneous vehicle platoons with unidirectional topologies and a priori unknown desired set point. The vehicles (or nodes) in a platoon are dynamically…

最优化与控制 · 数学 2018-03-19 Yang Zheng , Shengbo Eben Li , Keqiang Li , Francesco Borrelli , J. Karl Hedrick

In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal control problems with known uncertainty sets, we…

最优化与控制 · 数学 2016-06-09 Xiaojing Zhang , Maryam Kamgarpour , Angelos Georghiou , Paul Goulart , John Lygeros

We consider the problem of estimating the possibly non-convex cost of an agent by observing its interactions with a nonlinear, non-stationary and stochastic environment. For this inverse problem, we give a result that allows to estimate the…

最优化与控制 · 数学 2023-07-24 Émiland Garrabé , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

In this paper, we provide a novel and simple algorithm, Clairvoyant Multiplicative Weights Updates (CMWU) for regret minimization in general games. CMWU effectively corresponds to the standard MWU algorithm but where all agents, when…

计算机科学与博弈论 · 计算机科学 2022-06-30 Georgios Piliouras , Ryann Sim , Stratis Skoulakis