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This paper focuses on the identical parallel machine scheduling problem with sequence-dependent setup time, with special attention paid to the uncertainty of processing time. In this paper, a mathematical model of the parallel machine…

Optimization and Control · Mathematics 2017-12-05 Lei Liu , Canrong Zhang

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

Optimization and Control · Mathematics 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

We present BiqBin, an exact solver for linearly constrained binary quadratic problems. Our approach is based on an exact penalty method to first efficiently transform the original problem into an instance of Max-Cut, and then to solve the…

Optimization and Control · Mathematics 2022-08-15 Nicolò Gusmeroli , Timotej Hrga , Borut Lužar , Janez Povh , Melanie Siebenhofer , Angelika Wiegele

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

Optimization and Control · Mathematics 2025-05-12 Yu Bai , Yiming Li , Xi Xiong

An assignment problem arises when there exists a set of tasks that must be allocated to a set of agents. The bottleneck assignment problem (BAP) has the objective of minimising the most costly allocation of a task to an agent. Under certain…

Optimization and Control · Mathematics 2020-08-26 Mitchell Khoo , Tony A. Wood , Chris Manzie , Iman Shames

The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices whereas ensuring a given system reliability level. The obtained model is a nonlinear integer programming…

Optimization and Control · Mathematics 2012-03-16 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

A new search algorithm for solving distributed constraint optimization problems (DisCOPs) is presented. Agents assign variables sequentially and compute bounds on partial assignments asynchronously. The asynchronous bounds computation is…

Artificial Intelligence · Computer Science 2014-01-16 Amir Gershman , Amnon Meisels , Roie Zivan

Redundancy-based automated program repair (APR), which generates patches by referencing existing source code, has gained much attention since they are effective in repairing real-world bugs with good interpretability. However, since…

Software Engineering · Computer Science 2025-08-27 Jiajun Jiang , Fengjie Li , Zijie Zhao , Zhirui Ye , Mengjiao Liu , Bo Wang , Hongyu Zhang , Junjie Chen

We propose an incomplete algorithm for Maximum Satisfiability (MaxSAT) specifically designed to run on neural network accelerators such as GPUs and TPUs. Given a MaxSAT problem instance in conjunctive normal form, our procedure constructs a…

Artificial Intelligence · Computer Science 2023-11-07 David Warde-Farley , Vinod Nair , Yujia Li , Ivan Lobov , Felix Gimeno , Simon Osindero

We introduce the Block Rearrangement Problem (BRaP), a challenging component of large warehouse management which involves rearranging storage blocks within dense grids to achieve a goal state. We formally define the BRaP as a graph search…

Artificial Intelligence · Computer Science 2026-01-12 Bo Fu , Zhe Chen , Rahul Chandan , Alex Barbosa , Michael Caldara , Joey Durham , Federico Pecora

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

Batched sparse (BATS) code is a network coding solution for multi-hop wireless networks with packet loss. Achieving a close-to-optimal rate relies on an optimal degree distribution. Technical challenges arise from the sensitivity of this…

Information Theory · Computer Science 2024-05-15 Hoover H. F. Yin , Jie Wang , Sherman S. M. Chow

This paper considers a multi-objective reliability-redundancy allocation problem (MORRAP) of a series-parallel system, where system reliability and system cost are to be optimized simultaneously subject to limits on weight, volume, and…

Optimization and Control · Mathematics 2020-11-09 Pradip Kundu

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

Optimization and Control · Mathematics 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

The block relocation problem (BRP) is a fundamental operational issue in modern warehouse and yard management, which, however, is very challenging to solve. In this paper, to advance our understanding on this problem and to provide a…

Optimization and Control · Mathematics 2020-01-01 Chao Lu , Bo Zeng , Shixin Liu

Distributed constraint optimization (DCOP) problems are a popular way of formulating and solving agent-coordination problems. A DCOP problem is a problem where several agents coordinate their values such that the sum of the resulting…

Artificial Intelligence · Computer Science 2014-01-16 William Yeoh , Ariel Felner , Sven Koenig

Mixed-Integer Linear Programming (MILP) lies at the core of many real-world combinatorial optimization (CO) problems, traditionally solved by branch-and-bound (B&B). A key driver influencing B&B solvers efficiency is the variable selection…

Machine Learning · Computer Science 2026-04-03 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

Mixed-integer programming (MIP) has emerged as a powerful framework for learning optimal decision trees. Yet, existing MIP approaches for regression tasks are either limited to purely binary features or become computationally intractable…

Machine Learning · Computer Science 2025-10-29 Cristobal Heredia , Pedro Chumpitaz-Flores , Kaixun Hua

We study the robustness verification problem for tree-based models, including decision trees, random forests (RFs) and gradient boosted decision trees (GBDTs). Formal robustness verification of decision tree ensembles involves finding the…

Machine Learning · Computer Science 2019-12-11 Hongge Chen , Huan Zhang , Si Si , Yang Li , Duane Boning , Cho-Jui Hsieh