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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

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

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

最优化与控制 · 数学 2020-08-28 Marc Goerigk , Stefan Lendl

In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

计算复杂性 · 计算机科学 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

We study single-stage decision problems in which a subset of items with minimum total cost has to be selected at once from a given set of items, subject to two costs of each item -fixed and uncertain -and cardinality constraints for each…

最优化与控制 · 数学 2025-11-04 Antoine Lhomme , Nadia Brauner , Evgeny Gurevsky , Mikhail Kovalyov , Erwin Pesch

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true cost is revealed. Also known as min-max-min robustness (a…

最优化与控制 · 数学 2019-10-29 Marc Goerigk , Jannis Kurtz , Michael Poss

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,…

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

最优化与控制 · 数学 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

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

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

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

最优化与控制 · 数学 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

In project scheduling under processing times uncertainty, the Anchor-Robust Project Scheduling Problem is to find a baseline schedule of bounded makespan and a max-weight subset of jobs whose starting times are guaranteed. The problem was…

最优化与控制 · 数学 2021-06-24 Pascale Bendotti , Philippe Chrétienne , Pierre Fouilhoux , Adèle Pass-Lanneau

This paper studies binary linear programming problems in the presence of uncertainties that may cause solution values to change during implementation. This type of uncertainty, termed implementation uncertainty, is modeled explicitly…

最优化与控制 · 数学 2021-09-29 Jose E. Ramirez-Calderon , V. Jorge Leon

A standard type of uncertainty set in robust optimization is budgeted uncertainty, where an interval of possible values for each parameter is given and the total deviation from their lower bounds is bounded. In the two-stage setting,…

最优化与控制 · 数学 2026-02-19 Marc Goerigk , Dorothee Henke , Lasse Wulf

This work studies equilibrium problems under uncertainty where firms maximize their profits in a robust way when selling their output. Robust optimization plays an increasingly important role when best guaranteed objective values are to be…

最优化与控制 · 数学 2022-02-24 Christian Biefel , Frauke Liers , Jan Rolfes , Lars Schewe , Gregor Zöttl

We study the problem of determining how much finished goods inventory to source from different capacitated facilities in order to maximize profits resulting from sales of such inventory. We consider a problem wherein there is uncertainty in…

最优化与控制 · 数学 2025-07-01 Mike Hewitt , Giovanni Pantuso

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

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 robust optimization, the general aim is to find a solution that performs well over a set of possible parameter outcomes, the so-called uncertainty set. In this paper, we assume that the uncertainty size is not fixed, and instead aim at…

最优化与控制 · 数学 2016-06-24 André Chassein , Marc Goerigk

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…

最优化与控制 · 数学 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair
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