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This work proposes a self-supervised training strategy designed for combinatorial problems. An obstacle in applying supervised paradigms to such problems is the need for costly target solutions often produced with exact solvers. Inspired by…

Machine Learning · Computer Science 2024-11-01 Andrea Corsini , Angelo Porrello , Simone Calderara , Mauro Dell'Amico

A flexible job shop scheduling problem (FJSSP) poses a complex optimization task in modeling real-world process scheduling tasks with conflicting objectives. To tackle FJSSPs, approximation methods are employed to ensure solutions are…

Quantum Physics · Physics 2024-08-29 Philipp Schworm , Xiangqian Wu , Matthias Klar , Jan C. Aurich

Priority dispatching rule (PDR) is widely used for solving real-world Job-shop scheduling problem (JSSP). However, the design of effective PDRs is a tedious task, requiring a myriad of specialized knowledge and often delivering limited…

Machine Learning · Computer Science 2020-10-26 Cong Zhang , Wen Song , Zhiguang Cao , Jie Zhang , Puay Siew Tan , Chi Xu

Scheduling computational tasks represented by directed acyclic graphs (DAGs) is challenging because of its complexity. Conventional scheduling algorithms rely heavily on simple heuristics such as shortest job first (SJF) and critical path…

Machine Learning · Computer Science 2021-03-08 Zhigang Hua , Feng Qi , Gan Liu , Shuang Yang

The quantum approximate optimization algorithm (QAOA) is a promising method of solving combinatorial optimization problems using quantum computing. QAOA on the MaxCut problem has been studied extensively on specific families of graphs,…

The Job Shop Scheduling Problem (JSP) is central to operations research, primarily optimizing energy efficiency due to its profound environmental and economic implications. Efficient scheduling enhances production metrics and mitigates…

Artificial Intelligence · Computer Science 2025-11-25 Carlos March , Christian Perez , Miguel A. Salido

In the paper, the new approach to the scheduling problem are described. The approach deals with the problem of planning the cyclic production and proposes to consider such scheduling problem as the cyclic job-shop problem of the order k,…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Pavel Matrenin , Vadim Manusov

The no-wait flowshop scheduling problem is a variant of the classical permutation flowshop problem, with the additional constraint that jobs have to be processed by the successive machines without waiting time. To efficiently address this…

Artificial Intelligence · Computer Science 2019-03-22 Lucien Mousin , Marie-Eléonore Kessaci , Clarisse Dhaenens

Reinforcement learning (RL) is increasingly adopted in job shop scheduling problems (JSSP). But RL for JSSP is usually done using a vectorized representation of machine features as the state space. It has three major problems: (1) the…

Machine Learning · Computer Science 2023-05-17 Mohammed Sharafath Abdul Hameed , Andreas Schwung

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

The Job Shop Scheduling Problem (JSP) is a pivotal challenge in operations research and is essential for evaluating the effectiveness and performance of scheduling algorithms. Scheduling problems are a crucial domain in combinatorial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-24 Christian Perez , Carlos March , Miguel A. Salido

Optimizing schedules in real-world settings often requires considering workload constraints, specially for human resources, to ensure regulatory compliance, impose rest periods, or level the workload over the working horizon. This paper…

Optimization and Control · Mathematics 2026-05-21 Tanguy Terrien , Cyrille Briand

Many complex activities of production cycles, such as quality control or fault analysis, require highly experienced specialists to perform various operations on (semi)finished products using different tools. In practical scenarios, the…

Artificial Intelligence · Computer Science 2021-01-27 Giulia Francescutto , Konstantin Schekotihin , Mohammed M. S. El-Kholany

Network applications, such as multimedia streaming and video conferencing, impose growing requirements over Quality of Service (QoS), including bandwidth, delay, jitter, etc. Meanwhile, networks are expected to be load-balanced,…

Discrete Mathematics · Computer Science 2015-04-22 Longkun Guo , Kewen Liao , Hong Shen , Peng Li

The Quantum Approximate Optimisation Algorithm (QAOA) is a leading candidate for near-term quantum advantage, yet its practical impact is hindered by limited performance on symmetric local Hamiltonians and the costly optimisation of…

We propose an Indirect Quantum Approximate Optimization Algorithm (referred to as IQAOA) where the Quantum Alternating Operator Ansatz takes into consideration a general parameterized family of unitary operators to efficiently model the…

Quantum Physics · Physics 2023-11-07 Eric Bourreau , Gerard Fleury , Philippe Lacomme

The Traveling Salesman Problem (TSP) is one of the most often-used NP-Hard problems in computer science to study the effectiveness of computing models and hardware platforms. In this regard, it is also heavily used as a vehicle to study the…

An instance of the NP-hard Quadratic Shortest Path Problem (QSPP) is called linearizable iff it is equivalent to an instance of the classic Shortest Path Problem (SPP) on the same input digraph. The linearization problem for the QSPP…

Data Structures and Algorithms · Computer Science 2023-03-02 Eranda Çela , Bettina Klinz , Stefan Lendl , Gerhard J. Woeginger , Lasse Wulf

A new characterization of Hamiltonian graphs using f-cutset matrix is proposed. Based on this new characterization, a new exact polynomial time algorithm for the traveling salesman problem (TSP) is developed. We then define the so-called…

General Mathematics · Mathematics 2025-02-26 Dhananjay P. Mehendale

The quantum approximate optimization algorithm (QAOA) has the potential to approximately solve complex combinatorial optimization problems in polynomial time. However, current noisy quantum devices cannot solve large problems due to…