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In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

最优化与控制 · 数学 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

最优化与控制 · 数学 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We consider the class of single machine scheduling problems with the objective to minimize the weighted number of late jobs, under the assumption that completion due-dates are not known precisely at the time when decision-maker must provide…

数据结构与算法 · 计算机科学 2017-08-11 Maciej Drwal

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

最优化与控制 · 数学 2013-07-30 Michal Kocvara

This paper develops a stochastic programming framework for multi-agent systems where task decomposition, assignment, and scheduling problems are simultaneously optimized. The framework can be applied to heterogeneous mobile robot teams with…

机器人学 · 计算机科学 2022-11-15 Bo Fu , William Smith , Denise Rizzo , Matthew Castanier , Maani Ghaffari , Kira Barton

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

最优化与控制 · 数学 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

最优化与控制 · 数学 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

This paper considers the resource-constrained project scheduling problem with uncertain activity durations. We assume that activity durations lie in a budgeted uncertainty set, and follow a robust two-stage approach, where a decision maker…

最优化与控制 · 数学 2020-04-15 Matthew Bold , Marc Goerigk

Organizations around the world schedule jobs (programs) regularly to perform various tasks dictated by their end users. With the major movement towards using a cloud computing infrastructure, our organization follows a hybrid approach with…

分布式、并行与集群计算 · 计算机科学 2025-07-23 Sunandita Patra , Mehtab Pathan , Mahmoud Mahfouz , Parisa Zehtabi , Wided Ouaja , Daniele Magazzeni , Manuela Veloso

Healthcare systems are facing serious challenges in balancing their human resources to cope with volatile service demand, while at the same time providing necessary job satisfaction to the healthcare workers. We propose in this paper a…

最优化与控制 · 数学 2021-03-09 Duy Anh Nguyen

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

最优化与控制 · 数学 2024-04-30 Marc Goerigk , Mohammad Khosravi

In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula for radius of robust feasibility guaranteeing constraint…

最优化与控制 · 数学 2014-02-14 M. A. Goberna , V. Jeyakumar , G. Li , J. Vicente-Pérez

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

最优化与控制 · 数学 2018-03-29 Omid Nohadani , Kartikey Sharma

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

最优化与控制 · 数学 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

In classic robust optimization, it is assumed that a set of possible parameter realizations, the uncertainty set, is modeled in a previous step and part of the input. As recent work has shown, finding the most suitable uncertainty set is in…

最优化与控制 · 数学 2016-10-18 André Chassein , Marc Goerigk

This paper deals with a problem of production planning, which is a version of the capacitated single-item lot sizing problem with backordering under demand uncertainty, modeled by uncertain cumulative demands. The well-known interval…

数据结构与算法 · 计算机科学 2020-09-15 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

最优化与控制 · 数学 2022-02-23 Omid Nohadani , Kartikey Sharma

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

最优化与控制 · 数学 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss
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