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This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

Optimization and Control · Mathematics 2022-02-22 Maryam Kelkinnama , Majid Asadi

The analysis of complex nonlinear systems is often carried out using simpler piecewise linear representations of them. A principled and practical technique is proposed to linearize and evaluate arbitrary continuous nonlinear functions using…

Optimization and Control · Mathematics 2017-11-10 Guillermo Gallego , Daniel Berjón , Narciso García

Linear combination of unitaries (LCU for short) is one of the most important techniques in designing quantum algorithms. In this paper, we propose a new quantum algorithm in three different forms to achieve LCU. Different from previous…

Quantum Physics · Physics 2018-08-17 Changpeng Shao

This paper discusses the problem of assembly line control and introduces an optimal control formulation that can be used to improve the performance of the assembly line, in terms of cycle time minimization, resources' utilization, etc. A…

Optimization and Control · Mathematics 2020-10-01 Francesco Liberati , Andrea Tortorelli , Cesar Mazquiaran , Muhammad Imran , Martina Panfili

Min, Veeravalli, and Barlas have recently proposed strategies to minimize the overall execution time of one or several divisible loads on a heterogeneous linear network, using one or more installments. We show on a very simple example that…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-28 Matthieu Gallet , Yves Robert , Frédéric Vivien

Unrolled networks have become prevalent in various computer vision and imaging tasks. Although they have demonstrated remarkable efficacy in solving specific computer vision and computational imaging tasks, their adaptation to other…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Eric Chen , Xi Chen , Arian Maleki , Shirin Jalali

We study optimal decision policies for integer linear programs with a fixed feasible set and varying cost vectors, represented as linear decision trees. Once synthesized for a given feasible set, they return an optimal solution for any…

Optimization and Control · Mathematics 2026-05-05 Théo Guyard , Cleber Oliveira , Maximilian Schiffer , Eduardo Uchoa , Thibaut Vidal

Multiple model reduction techniques have been proposed to tackle linear and non linear problems. Intrusive model order reduction techniques exhibit high accuracy levels, however, they are rarely used as a standalone industrial tool, because…

Computational Engineering, Finance, and Science · Computer Science 2025-04-10 Mikhael Tannous , Chady Ghnatios , Eivind Fonn , Trond Kvamsdal , Francisco Chinesta

Future systems based on nano-scale devices will provide great potentials for scaling up in system complexity, yet they will be highly susceptible to operational faults. While spare units can be generally used to enhance reliability, they…

Hardware Architecture · Computer Science 2018-12-05 Soroush Khaleghi , Wenjing Rao

This paper addresses the problem of managing rotational load shedding schedules for a power distribution network with multiple load zones. An integer optimization problem is formulated to find the optimal number and duration of planned…

Optimization and Control · Mathematics 2018-10-23 Atif Maqsood , Yu Zhang , Keith Corzine

The randomized linear combination of unitaries (LCU) method with many applications to early fault-tolerant quantum computing algorithms has been proposed. This quantum algorithm computes the same expectation values as the original, fully…

Quantum Physics · Physics 2026-02-16 Kaito Wada , Hiroyuki Harada , Yasunari Suzuki , Yuuki Tokunaga , Naoki Yamamoto , Suguru Endo

Replication is a key technique in the design of efficient and reliable distributed systems. As information grows, it becomes difficult or even impossible to store all information at every replica. A common approach to deal with this problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Gonçalo Cabrita , Nuno Preguiça

Phasor Measurement Units (PMUs) are essential measuring devices for monitoring, control and protection of power systems. The objective of the optimal PMU placement (OPP) problem is to minimize the number of PMUs and select the bus locations…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Theodorakatos , Nikolaos Manousakis , George Korres

The Electric Multiple Unit (EMU) circulation plan is the foundation of EMU assignment and maintenance planning,and its primary task is to determine the connections of trains in terms of train timetable and maintenance constraints. We study…

Optimization and Control · Mathematics 2019-08-28 Jian Li , Boliang Lin

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…

Optimization and Control · Mathematics 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

Model routing is a simple technique for reducing the inference cost of large language models (LLMs), wherein one maintains a pool of candidate LLMs, and learns to route each prompt to the smallest feasible LLM. Existing works focus on…

Trusses are load-carrying light-weight structures consisting of bars connected at joints ubiquitously applied in a variety of engineering scenarios. Designing optimal trusses that satisfy functional specifications with a minimal amount of…

Graphics · Computer Science 2019-01-18 Caigui Jiang , Chengcheng Tang , Hans-Peter Seidel , Renjie Chen , Peter Wonka

This paper proposes a new robust optimization (RO) formulation namely the RO under objective functional uncertainty (ObRO). The ObRO adopts a min-max structure where the inner problem finds the worst-case objective function in a continuous…

Optimization and Control · Mathematics 2026-05-19 Yue Song , Yuxi Lu , Gang Li , Kairui Feng , Qi Liu

Sequential decision-making algorithms such as reinforcement learning (RL) in real-world scenarios inevitably face environments with partial observability. This paper scrutinizes the effectiveness of a popular architecture, namely…

Machine Learning · Computer Science 2024-05-31 Chenhao Lu , Ruizhe Shi , Yuyao Liu , Kaizhe Hu , Simon S. Du , Huazhe Xu

The reformulation-linearization technique (RLT) is a prominent approach to constructing tight linear relaxations of non-convex continuous and mixed-integer optimization problems. The goal of this paper is to extend the applicability and…

Optimization and Control · Mathematics 2024-07-22 Ksenia Bestuzheva , Ambros Gleixner , Tobias Achterberg