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We consider the multi-item inventory lot-sizing problem with supplier selection. The problem consists of determining an optimal purchasing plan in order to satisfy dynamic deterministic demands for multiple items over a finite planning…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

We consider the uncapacitated three-level lot-sizing and replenishment problem with a distribution structure. In this NP-hard problem, a single production plant sends the produced items to replenish warehouses from where they are dispatched…

Optimization and Control · Mathematics 2021-04-20 Jesus O. Cunha , Rafael A. Melo

We present the implementation of a batch job scheduler designed for single-point management of distributed tasks on a multi-node compute farm. The scheduler uses the notion of a meta-job to launch large computing tasks simultaneously on…

Nuclear Experiment · Physics 2007-05-23 V. Mandapaka , C. Pruneau , J. Lauret , S. Zeadally

In the multi-agent path finding problem (MAPF) we are given a set of agents each with respective start and goal positions. The task is to find paths for all agents while avoiding collisions aiming to minimize an objective function. Two such…

Artificial Intelligence · Computer Science 2018-12-31 Pavel Surynek

This paper introduces bucket calculus, a novel mathematical framework that fundamentally transforms the computational complexity landscape of parallel machine scheduling optimization. We address the strongly NP-hard problem…

Computational Complexity · Computer Science 2026-02-03 Noor Islam S. Mohammad

Previous work has shown that there are two major complexity barriers in the synthesis of fault-tolerant distributed programs: (1) generation of fault-span, the set of states reachable in the presence of faults, and (2) resolving deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-15 Fuad Abujarad , Borzoo Bonakdarpour , Sandeep S. Kulkarni

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

A sorted set (or map) is one of the most used data types in computer science. In addition to standard set operations, like Insert, Remove, and Contains, it can provide set-set operations such as Union,Intersection, and Difference. Each of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Ilya Kokorin , Vitaly Aksenov , Alena Martsenyuk

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

In this paper we introduce Clause Cuts: linear inequalities obtained from clauses that are logically implied by a CNF formula, resembling strengthened no-good cuts. With these cuts, we tighten mixed-integer linear programming (MILP)…

Optimization and Control · Mathematics 2025-09-29 Max Engelhardt , Milan Adhikari , Jonasz Staszek , Alexander Martin

Fundamentally, every static program analyser searches for a proof through a combination of heuristics providing candidate solutions and a candidate validation technique. Essentially, the heuristic reduces a second-order problem to a…

Logic in Computer Science · Computer Science 2015-01-20 Cristina David , Daniel Kroening , Matt Lewis

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

We develop and analyze new scheduling algorithms for solving sparse triangular linear systems (SpTRSV) in parallel. Our approach produces highly efficient synchronous schedules for the forward- and backward-substitution algorithm. Compared…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Toni Böhnlein , Pál András Papp , Raphael S. Steiner , Christos K. Matzoros , A. N. Yzelman

Training machine learning models in parallel is an increasingly important workload. We accelerate distributed parallel training by designing a communication primitive that uses a programmable switch dataplane to execute a key step of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-01 Amedeo Sapio , Marco Canini , Chen-Yu Ho , Jacob Nelson , Panos Kalnis , Changhoon Kim , Arvind Krishnamurthy , Masoud Moshref , Dan R. K. Ports , Peter Richtárik

This paper proposes a framework for scheduling the observation and download tasks of multiple agile satellites with practical considerations such as attitude transition time, onboard data capacity, and stereoscopic image acquisition. A…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Junhong Kim , Doo-Hyun Cho , Jaemyung Ahn , Han-Lim Choi

To support parallelizable serverless workflows in applications like media processing, we have prototyped a distributed scheduler called Raptor that reduces both the end-to-end delay time and failure rate of parallelizable serverless…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-16 Kevin Exton , Maria Read

Parallel thinking expands exploration breadth, complementing the deep exploration of information-seeking (IS) agents to further enhance problem-solving capability. However, conventional parallel thinking faces two key challenges in this…

Computation and Language · Computer Science 2025-10-29 Baixuan Li , Dingchu Zhang , Jialong Wu , Wenbiao Yin , Zhengwei Tao , Yida Zhao , Liwen Zhang , Haiyang Shen , Runnan Fang , Pengjun Xie , Jingren Zhou , Yong Jiang

Agent-based modelling constitutes a versatile approach to representing and simulating complex systems. Studying large-scale systems is challenging because of the computational time required for the simulation runs: scaling is at least…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-05 Alexandru-Ionuţ Băbeanu , Tatiana Filatova , Jan H. Kwakkel , Neil Yorke-Smith

Astronomers are increasingly using Massively Parallel Network of Workstations (MP-NOW) to address their most challenging computing problems. Fully exploiting these systems is made more difficult as more and more modeling and data analysis…

Astrophysics · Physics 2015-05-26 Jeremy Kepner , Maya Gokhale , Ron Minnich , Aaron Marks , John DeGood

Current state-of-the-art solvers for mixed-integer programming (MIP) problems are designed to perform well on a wide range of problems. However, for many real-world use cases, problem instances come from a narrow distribution. This has…

Optimization and Control · Mathematics 2022-02-15 Charly Robinson La Rocca , Emma Frejinger , Jean-François Cordeau
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