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Short integer linear programs are programs with a relatively small number of constraints. We show how recent improvements on the running-times of solvers for such programs can be used to obtain fast pseudo-polynomial time algorithms for…

数据结构与算法 · 计算机科学 2026-02-09 Danny Hermelin , Dvir Shabtay

The idea of iterative process optimization based on collected output measurements, or "real-time optimization" (RTO), has gained much prominence in recent decades, with many RTO algorithms being proposed, researched, and developed. While…

最优化与控制 · 数学 2013-08-29 Gene A. Bunin , Grégory François , Dominique Bonvin

A bicriteria approximation algorithm is presented for the unrooted traveling repairman problem, realizing increased profit in return for increased speedup of repairman motion. The algorithm generalizes previous results from the case in…

数据结构与算法 · 计算机科学 2011-01-21 Greg N. Frederickson , Barry Wittman

The NP-hard problem of task scheduling with communication delays (P|prec,c_{ij}|C_{\mathrm{max}}) is often tackled using approximate methods, but guarantees on the quality of these heuristic solutions are hard to come by. Optimal schedules…

分布式、并行与集群计算 · 计算机科学 2019-01-23 Michael Orr , Oliver Sinnen

Contract scheduling is a general technique that allows to design a system with interruptible capabilities, given an algorithm that is not necessarily interruptible. Previous work on this topic has largely assumed that the interruption is a…

人工智能 · 计算机科学 2020-11-26 Spyros Angelopoulos , Shahin Kamali

Obtaining a viable schedule baseline that meets all project constraints is one of the main issues for project managers. The literature on this topic focuses mainly on methods to obtain schedules that meet resource restrictions and, more…

综合经济学 · 经济学 2024-06-04 Fernando Acebes , David Poza , Jose M Gonzalez-Varona , Javier Pajares , Adolfo Lopez-Paredes

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

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

数据结构与算法 · 计算机科学 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

数据结构与算法 · 计算机科学 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

最优化与控制 · 数学 2014-12-17 Anna Romanova

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

数据结构与算法 · 计算机科学 2023-02-09 Klaus Jansen , Kai Kahler

We consider the classical machine scheduling, where $n$ jobs need to be scheduled on $m$ machines, and where job $j$ scheduled on machine $i$ contributes $p_{i,j}\in \mathbb{R}$ to the load of machine $i$, with the goal of minimizing the…

计算机科学与博弈论 · 计算机科学 2020-09-09 Cong Chen , Paul Giessler , Akaki Mamageishvili , Matus Mihalak , Paolo Penna

In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

神经与进化计算 · 计算机科学 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

数据结构与算法 · 计算机科学 2018-01-09 Dušan Knop , Martin Koutecký

We consider a project that consists of a set of activities performed in parallel under constraints on their start and finish times, including start-finish precedence relationships, release start times, release end times, and deadlines. The…

最优化与控制 · 数学 2020-07-10 Nikolai Krivulin

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

离散数学 · 计算机科学 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We study the fundamental scheduling problem $1\|\sum p_jU_j$. Given a set of $n$ jobs with processing times $p_j$ and deadlines $d_j$, the problem is to select a subset of jobs such that the total processing time is maximized without…

数据结构与算法 · 计算机科学 2024-02-29 Mihail Stoian

We give a $(2 + \epsilon)$-approximation algorithm for minimizing total weighted completion time on a single machine under release time and precedence constraints. This settles a recent conjecture made in [18]

数据结构与算法 · 计算机科学 2017-06-26 René Sitters , Liya Yang

We present the first nontrivial procedure for configuring heuristic algorithms to maximize the utility provided to their end users while also offering theoretical guarantees about performance. Existing procedures seek configurations that…

人工智能 · 计算机科学 2023-11-01 Devon R. Graham , Kevin Leyton-Brown , Tim Roughgarden

Scheduling policies for real-time systems exhibit threshold behavior that is related to the utilization of the task set they schedule, and in some cases this threshold is sharp. For the rate monotonic scheduling policy, we show that…

性能 · 计算机科学 2009-12-22 Sathish Gopalakrishnan