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In this paper, approximation schemes are proposed for handling load uncertainty in compliance-based topology optimization problems, where the uncertainty is described in the form of a set of finitely many loading scenarios. Efficient…

Computational Engineering, Finance, and Science · Computer Science 2022-05-03 Mohamed Tarek , Tapabrata Ray

We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length.…

Data Structures and Algorithms · Computer Science 2013-04-23 Shalabh Vidyarthi , Kaushal K Shukla

Methods for the reduction of the complexity of computational problems are presented, as well as their connections to renormalization, scaling, and irreversible statistical mechanics. Several statistically stationary cases are analyzed; for…

Numerical Analysis · Mathematics 2007-05-23 Alexandre J. Chorin , Panagiotis Stinis

Job shop scheduling problems represent a significant and complex facet of combinatorial optimization problems, which have traditionally been addressed through either exact or approximate solution methodologies. However, the practical…

Artificial Intelligence · Computer Science 2024-03-19 Jaejin Lee , Seho Kee , Mani Janakiram , George Runger

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

The rise of battery-powered vehicles has led to many new technical and methodological hurdles. Among these, the efficient planning of an electric fleet to fulfill passenger transportation requests still represents a major challenge. This is…

Optimization and Control · Mathematics 2023-02-07 Axel Parmentier , Rafael Martinelli , Thibaut Vidal

In this article we study a broad class of integer programming problems in variable dimension. We show that these so-termed {\em n-fold integer programming problems} are polynomial time solvable. Our proof involves two heavy ingredients…

Optimization and Control · Mathematics 2008-07-24 Jesús A. De Loera , Raymond Hemmecke , Shmuel Onn , Robert Weismantel

We study optimization problems that are neither approximable in polynomial time (at least with a constant factor) nor fixed parameter tractable, under widely believed complexity assumptions. Specifically, we focus on Maximum Independent…

Data Structures and Algorithms · Computer Science 2008-10-29 Marek Cygan , Lukasz Kowalik , Marcin Pilipczuk , Mateusz Wykurz

Content caching at the edge of network is a promising technique to alleviate the burden of backhaul networks. In this paper, we consider content caching along time in a base station with limited cache capacity. As the popularity of contents…

Networking and Internet Architecture · Computer Science 2020-01-14 Ghafour Ahani , Di Yuan

We study the recovering bandits problem, a variant of the stochastic multi-armed bandit problem where the expected reward of each arm varies according to some unknown function of the time since the arm was last played. While being a natural…

Machine Learning · Statistics 2019-11-01 Ciara Pike-Burke , Steffen Grünewälder

Dismantling aircrafts reaching their end of life is a complex endeavour that is necessary in terms of sustainability but yields small income margins for air transport companies. An efficient scheduling of the disassembly procedure is thus…

Artificial Intelligence · Computer Science 2026-05-25 Charles Thomas , Pierre Schaus

This paper addresses the challenging scheduling problem of coflows with release times, with the objective of minimizing the total weighted completion time. Previous literature has predominantly concentrated on establishing the scheduling…

Data Structures and Algorithms · Computer Science 2023-12-27 Chi-Yeh Chen

Airlift operations require the timely distribution of various cargo, much of which is time sensitive and valuable. These operations, however, have to contend with sudden disruptions from weather and malfunctions, requiring immediate…

Artificial Intelligence · Computer Science 2025-04-22 Adis Delanovic , Carmen Chiu , John F. Kolen , Marvin Gülhan , Jonathan Cawalla , Andre Beckus

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…

Data Structures and Algorithms · Computer Science 2022-07-19 Christoph Buchheim , Dorothee Henke , Jannik Irmai

In Polyamorous Scheduling, we are given an edge-weighted graph and must find a periodic schedule of matchings in this graph which minimizes the maximal weighted waiting time between consecutive occurrences of the same edge. This NP-hard…

Data Structures and Algorithms · Computer Science 2024-11-12 Yuriy Biktairov , Leszek Gąsieniec , Wanchote Po Jiamjitrak , Namrata , Benjamin Smith , Sebastian Wild

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

Modern platforms are using accelerators in conjunction with standard processing units in order to reduce the running time of specific operations, such as matrix operations, and improve their performance. Scheduling on such hybrid platforms…

Data Structures and Algorithms · Computer Science 2020-02-11 Vincent Fagnon , Imed Kacem , Giorgio Lucarelli , Bertrand Simon

This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some…

Optimization and Control · Mathematics 2024-05-31 Mauro Lucci , Daniel Severin , Paula Zabala

We study here several variants of the covariates fine balance problem where we generalize some of these problems and introduce a number of others. We present here a comprehensive complexity study of the covariates problems providing…

Data Structures and Algorithms · Computer Science 2020-09-18 Dorit S. Hochbaum , Asaf Levin , Xu Rao

This paper addresses key challenges in task scheduling for multi-tenant distributed systems, including dynamic resource variation, heterogeneous tenant demands, and fairness assurance. An adaptive scheduling method based on reinforcement…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-13 Xiaopei Zhang , Xingang Wang , Xin Wang