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We study ordinal makespan scheduling on small numbers of identical machines, with respect to two parallel solutions. In ordinal scheduling, it is known that jobs are sorted by non-increasing sizes, but the specific sizes are not known in…

Data Structures and Algorithms · Computer Science 2022-10-17 Leah Epstein

This paper introduces a parallel scheduling problem where a directed acyclic graph modeling $t$ tasks and their dependencies needs to be executed on $n$ unreliable workers. Worker $i$ executes task $j$ correctly with probability $p_{i,j}$.…

Data Structures and Algorithms · Computer Science 2007-05-23 Grzegorz Malewicz

This paper considers the simultaneous high-speed train assignment and maintenance scheduling problem. For the maintenance scheduling module, our focus is the second-level maintenance, which is carried out once a month on average. We propose…

Optimization and Control · Mathematics 2017-09-14 Boliang Lin

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

We consider the problem of minimizing the delay of jobs moving through a directed graph of service nodes. In this problem, each node may have several links and is constrained to serve one link at a time. As jobs move through the network,…

Networking and Internet Architecture · Computer Science 2019-03-08 Hsu-Chieh Hu , Stephen F. Smith

We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde

Traveling salesman problem is a NP-hard problem. Until now, researchers have not found a polynomial time algorithm for traveling salesman problem. Among the existing algorithms, dynamic programming algorithm can solve the problem in time…

Data Structures and Algorithms · Computer Science 2015-10-16 Yunpeng Li

Pinwheel Scheduling is a fundamental scheduling problem, in which each task $i$ is associated with a positive integer $d_i$, and the objective is to schedule one task per time slot, ensuring each task perpetually appears at least once in…

Data Structures and Algorithms · Computer Science 2025-10-21 Sotiris Kanellopoulos , Christos Pergaminelis , Maria Kokkou , Euripides Markou , Aris Pagourtzis

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

Data Structures and Algorithms · Computer Science 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie

The possible unavailability of urban rail-based transport services due to planned maintenance activities may have significant consequences on the perceived quality of service, thus affecting railway attractiveness. To cope with the…

Systems and Control · Electrical Eng. & Systems 2021-09-07 A lice Consilvio , Lorenzo Calabrò , Angela Di Febbraro , Nicola Sacco

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

Rail is a cost-effective and relatively low-emission mode for transporting intermodal containers over long distances. This paper addresses tactical planning of intermodal railroad operations by introducing a new problem that simultaneously…

Optimization and Control · Mathematics 2025-11-11 Julie Kienzle , Serge Bisaillon , Teodor Gabriel Crainic , Emma Frejinger

Logic-Based Benders Decomposition (LBBD) and its Branch-and-Cut variant, namely Branch-and-Check, enjoy an extensive applicability on a broad variety of problems, including scheduling. Although LBBD offers problem-specific cuts to impose…

Optimization and Control · Mathematics 2025-04-02 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

Discrete Mathematics · Computer Science 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees. Using network slicing to decouple the queueing dynamics between flows, we show that the network's ability to meet hard throughput and deadline…

Networking and Internet Architecture · Computer Science 2024-09-17 Nicholas Jones , Eytan Modiano

Motivated by applications in grid computing and project management, we study multiprocessor scheduling in scenarios where there is uncertainty in the successful execution of jobs when assigned to processors. We consider the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Guolong Lin , Rajmohan Rajaraman

We introduce and study a general scheduling problem that we term the Packing Scheduling problem. In this problem, jobs can have different arrival times and sizes; a scheduler can process job $j$ at rate $x_j$, subject to arbitrary packing…

Data Structures and Algorithms · Computer Science 2014-04-07 Sungjin Im , Janardhan Kulkarni , Kamesh Munagala

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

Data Structures and Algorithms · Computer Science 2020-07-27 Weidong Li

Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the…

Data Structures and Algorithms · Computer Science 2024-03-28 Leszek Gąsieniec , Benjamin Smith , Sebastian Wild

We introduce the TemporallyEdgeDisjointScheduleCompletion (TEDSC) problem in which we need to cover a set of temporal edge demands $D$ by routing $k$ temporal walks through a directed static graph while remaining temporally edge disjoint.…

Data Structures and Algorithms · Computer Science 2026-05-07 Michelle Döring , Niklas Mohrin , George Skretas
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