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This paper addresses a novel data science problem, prescriptive price optimization, which derives the optimal price strategy to maximize future profit/revenue on the basis of massive predictive formulas produced by machine learning. The…

Optimization and Control · Mathematics 2016-05-25 Shinji Ito , Ryohei Fujimaki

In moldable job scheduling, we are provided $m$ identical machines and $n$ jobs that can be executed on a variable number of machines. The execution time of each job depends on the number of machines assigned to execute that job. For the…

Data Structures and Algorithms · Computer Science 2026-01-07 Klaus Jansen , Felix Ohnesorge

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

Recent advances in deep learning have shown significant potential for solving combinatorial optimization problems in real-time. Unlike traditional methods, deep learning can generate high-quality solutions efficiently, which is crucial for…

Machine Learning · Computer Science 2025-04-08 Imanol Echeverria , Maialen Murua , Roberto Santana

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

Data Structures and Algorithms · Computer Science 2019-04-23 Benjamin Moseley

We settle the pseudo-polynomial complexity of the Demand Strip Packing (DSP) problem: Given a strip of fixed width and a set of items with widths and heights, the items must be placed inside the strip with the objective of minimizing the…

Data Structures and Algorithms · Computer Science 2025-07-02 Klaus Jansen , Malin Rau , Malte Tutas

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

The interrupting swap-allowed blocking job shop problem (ISBJSSP) is a complex scheduling problem that is able to model many manufacturing planning and logistics applications realistically by addressing both the lack of storage capacity and…

Machine Learning · Computer Science 2023-10-02 Vivian W. H. Wong , Sang Hun Kim , Junyoung Park , Jinkyoo Park , Kincho H. Law

A sparse linear programming (SLP) problem is a linear programming problem equipped with a sparsity (or cardinality) constraint, which is nonconvex and discontinuous theoretically and generally NP-hard computationally due to the…

Optimization and Control · Mathematics 2018-06-05 Chen Zhao , Ziyan Luo , Weiyue Li , Houduo Qi , Naihua Xiu

Machine scheduling aims to optimize job assignments to machines while adhering to manufacturing rules and job specifications. This optimization leads to reduced operational costs, improved customer demand fulfillment, and enhanced…

The 'exact subgraph' approach was recently introduced as a hierarchical scheme to get increasingly tight semidefinite programming relaxations of several NP-hard graph optimization problems. Solving these relaxations is a computational…

Optimization and Control · Mathematics 2019-08-09 Elisabeth Gaar , Franz Rendl

Job shop scheduling problem (JSP) is a widely studied NP-complete combinatorial optimization problem. Neighborhood structures play a critical role in solving JSP. At present, there are three state-of-the-art neighborhood structures, i.e.,…

Artificial Intelligence · Computer Science 2021-09-08 Jin Xie , Xinyu Li , Liang Gao , Lin Gui

In this paper we deal with a complex real world scheduling problem closely related to the well-known Resource-Constrained Project Scheduling Problem (RCPSP). The problem concerns industrial test laboratories in which a large number of tests…

Artificial Intelligence · Computer Science 2024-11-01 Tobias Geibinger , Florian Mischek , Nysret Musliu

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

The Multiple Drone-Delivery Scheduling Problem (MDSP) is a scheduling problem that optimizes the maximum reward earned by a set of $m$ drones executing a sequence of deliveries on a truck delivery route. The current best-known approximation…

Data Structures and Algorithms · Computer Science 2023-06-21 Sagnik Anupam , Nicole Lu , John Sragow

Distributed Stream Processing (DSP) systems enable processing large streams of continuous data to produce results in near to real time. They are an essential part of many data-intensive applications and analytics platforms. The rate at…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-11 Kordian Gontarska , Morgan Geldenhuys , Dominik Scheinert , Philipp Wiesner , Andreas Polze , Lauritz Thamsen

In the new wave of artificial intelligence, deep learning is impacting various industries. As a closely related area, optimization algorithms greatly contribute to the development of deep learning. But the reverse applications are still…

Machine Learning · Computer Science 2019-11-06 Zhengxuan Ling , Xinyu Tao , Yu Zhang , Xi Chen

Many organizations employ compute clusters equipped with accelerators such as GPUs and TPUs for training deep learning models in a distributed fashion. Training is resource-intensive, consuming significant compute, memory, and network…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-23 Adarsh Kumar , Kausik Subramanian , Shivaram Venkataraman , Aditya Akella

Single-Program-Multiple-Data (SPMD) parallelism has recently been adopted to train large deep neural networks (DNNs). Few studies have explored its applicability on heterogeneous clusters, to fully exploit available resources for large…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shiwei Zhang , Lansong Diao , Chuan Wu , Zongyan Cao , Siyu Wang , Wei Lin