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We propose a dual dynamic integer programming (DDIP) framework for solving multi-scale mixed-integer model predictive control (MPC) problems. Such problems arise in applications that involve long horizons and/or fine temporal…

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines data-driven methods on solver heuristics has shown potential to overcome this issue allowing for…

最优化与控制 · 数学 2022-08-30 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

High error rates and limited fidelity of quantum gates in near-term quantum devices are the central obstacles to successful execution of the Quantum Approximate Optimization Algorithm (QAOA). In this paper we introduce an…

量子物理 · 物理学 2022-06-16 Ruslan Shaydulin , Alexey Galda

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

最优化与控制 · 数学 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

Overcoming the influence of noise and imperfections is a major challenge in quantum computing. Here, we present an approach based on applying a desired unitary computation in superposition between the system of interest and some auxiliary…

We consider non-preemptive scheduling of MapReduce jobs with multiple tasks in the practical scenario where each job requires several map-reduce rounds. We seek to minimize the average weighted completion time and consider scheduling on…

数据结构与算法 · 计算机科学 2016-02-18 Dimitris Fotakis , Ioannis Milis , Orestis Papadigenopoulos , Vasilis Vassalos , Georgios Zois

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

数据结构与算法 · 计算机科学 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

最优化与控制 · 数学 2026-02-03 Zayn Wang

Mixed-Integer Linear Programming (MILP) is a foundational tool for complex decision-making problems. However, the NP-hard nature of MILP presents a significant computational challenge, motivating the development of machine learning-based…

最优化与控制 · 数学 2026-03-03 Hongpei Li , Hui Yuan , Han Zhang , Jianghao Lin , Dongdong Ge , Mengdi Wang , Yinyu Ye

A conflict graph represents logical relations between binary variables, and effective use of the graph can significantly accelerate branch-and-cut solvers for mixed-integer programming (MIP). In this paper we develop efficient parallel…

最优化与控制 · 数学 2025-06-18 Yongzheng Dai , Chen Chen

Time-optimal control for high-order chain-of-integrators systems with full state constraints and arbitrarily given terminal states remains a challenging problem in the optimal control theory domain, yet to be resolved. To enhance further…

系统与控制 · 电气工程与系统科学 2024-10-08 Yunan Wang , Chuxiong Hu , Zeyang Li , Shize Lin , Suqin He , Yu Zhu

As quantum processors grow in scale and reliability, the need for efficient quantum gate decomposition of circuits to a set of specific available gates, becomes ever more critical. The decomposition of a particular algorithm into a sequence…

量子物理 · 物理学 2025-01-30 Jonathan Nemirovsky , Maya Chuchem , Yotam Shapira

Fixed-point iteration algorithms like RTA (response time analysis) and QPA (quick processor-demand analysis) are arguably the most popular ways of solving schedulability problems for preemptive uniprocessor FP (fixed-priority) and EDF…

操作系统 · 计算机科学 2023-08-21 Abhishek Singh

We show how a pulse-level implementation of the multi-qubit gates in neutral-atom device architectures allows for the simultaneous execution of single- and multi-qubit gates acting on overlapping sets of qubits, in a mechanism we name…

量子物理 · 物理学 2022-06-13 Richard Bing-Shiun Tsai , Henrique Silvério , Loic Henriet

Parallel computation enables multiple processors to execute different parts of a task simultaneously, improving processing speed and efficiency. In quantum computing, parallel gate implementation involves executing gates independently in…

量子物理 · 物理学 2024-11-20 Boris Arseniev

The problem considered in this work consists in scheduling a set of tasks on a single machine, around an unrestrictive common due date to minimize the weighted sum of earliness and tardiness. This problem can be formulated as a compact…

离散数学 · 计算机科学 2021-02-16 Anne-Elisabeth Falq , Pierre Fouilhoux , Safia Kedad-Sidhoum

Linear Predictive Clustering (LPC) partitions samples based on shared linear relationships between feature and target variables, with numerous applications including marketing, medicine, and education. Greedy optimization methods, commonly…

机器学习 · 计算机科学 2026-04-08 Jiazhou Liang , Hassan Khurram , Scott Sanner

We consider the problem of mapping a logical quantum circuit onto a given hardware with limited two-qubit connectivity. We model this problem as an integer linear program, using a network flow formulation with binary variables that includes…

量子物理 · 物理学 2021-07-27 Giacomo Nannicini , Lev S Bishop , Oktay Gunluk , Petar Jurcevic

Quantum computers are devices, which allow more efficient solutions of problems as compared to their classical counterparts. As the timeline to developing a quantum-error corrected computer is unclear, the quantum computing community has…

量子物理 · 物理学 2023-02-16 Marko J. Rančić

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

最优化与控制 · 数学 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher