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This article describes the methodology for formulating and solving optimal pump scheduling problems with variable-speed pumps (VSPs) as mixed integer linear programs (MILPs) using piece-linear approximations of the network components. The…

最优化与控制 · 数学 2023-09-12 Tomasz Janus , Bogumil Ulanicki , Kegong Diao

Because an agents resources dictate what actions it can possibly take, it should plan which resources it holds over time carefully, considering its inherent limitations (such as power or payload restrictions), the competing needs of other…

多智能体系统 · 计算机科学 2014-01-17 Jianhui Wu , Edmund H. Durfee

We address a challenging tank blending and scheduling problem regarding operations for a chemical plant. We model the problem as a nonconvex MIQCP, then approximate this model as a MILP using a discretization-based approach. We combine a…

最优化与控制 · 数学 2020-06-16 Benjamin Beach , Robert Hildebrand , Kimberly Ellis , Baptiste Lebreton

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

人工智能 · 计算机科学 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

In this paper, we formulate a mutual information optimal control problem (MIOCP) for discrete-time linear systems. This problem can be regarded as an extension of a maximum entropy optimal control problem (MEOCP). Differently from the MEOCP…

最优化与控制 · 数学 2025-07-15 Shoju Enami , Kenji Kashima

In this paper, we design $MC^2$ algorithms for Mixed Integer and Linear Programming. By expressing a constrained optimisation as one of simulation from a Boltzmann distribution, we reformulate integer and linear programming as Monte Carlo…

统计计算 · 统计学 2025-11-26 Nick Polson , Vadim Sokolov

The Maximally Diverse Grouping Problem (MDGP) is the problem of assigning a set of elements to mutually disjoint groups in order to maximise the overall diversity between the elements. Because the MDGP is NP-complete, most studies have…

最优化与控制 · 数学 2024-10-14 Kevin Fu Yuan Lam , Jiang Qian

Lagrangian relaxation stands among the most efficient approaches for solving a Mixed Integer Linear Programs (MILP) with difficult constraints. Given any duals for these constraints, called Lagrangian Multipliers (LMs), it returns a bound…

机器学习 · 计算机科学 2024-10-21 Francesco Demelas , Joseph Le Roux , Mathieu Lacroix , Axel Parmentier

We consider a cooperative multi-agent system consisting of a team of agents with decentralized information. Our focus is on the design of symmetric (i.e. identical) strategies for the agents in order to optimize a finite horizon team…

最优化与控制 · 数学 2023-07-17 Sagar Sudhakara , Ashutosh Nayyar

The paper considers the problem of scheduling software modules on a multi-core processor, taking into account the limited bandwidth of the data bus and the precedence constraints. Two problem formulations with different levels of…

分布式、并行与集群计算 · 计算机科学 2020-11-02 Anton V. Eremeev , Anton A. Malakhov , Maxim A. Sakhno , Maria Y. Sosnovskaya

We study a decentralized dispatch coordination problem in a multi-agent supply chain setting with shared logistics capacity. We propose symmetric (identical) dispatch strategies for all agents, enabling efficient coordination without…

多智能体系统 · 计算机科学 2025-04-29 Sagar Sudhakara

This paper presents a new hybrid classical-quantum approach to solve Mixed Integer Linear Programming (MILP) using neutral atom quantum computations. We apply Benders decomposition (BD) to segment MILPs into a master problem (MP) and a…

量子物理 · 物理学 2024-07-17 M. Yassine Naghmouchi , Wesley da Silva Coelho

Multiple Air Vehicles (AVs) to prosecute geographically dispersed targets is an important optimization problem. Associated multiple tasks viz., target classification, attack and verification are successively performed on each target. The…

人工智能 · 计算机科学 2015-03-17 Arindam Chaudhuri , Dipak Chatterjee , Ritesh Rajput

Mixed-Integer Quadratic Programming (MIQP) has been identified as a suitable approach for finding an optimal solution to the behavior planning problem with low runtimes. Logical constraints and continuous equations are optimized alongside.…

机器人学 · 计算机科学 2021-01-14 Klemens Esterle , Tobias Kessler , Alois Knoll

We consider the infinite-horizon discounted optimal control problem formalized by Markov Decision Processes. We focus on Policy Search algorithms, that compute an approximately optimal policy by following the standard Policy Iteration (PI)…

人工智能 · 计算机科学 2013-06-04 Bruno Scherrer

Multi-agent active perception is a task where a team of agents cooperatively gathers observations to compute a joint estimate of a hidden variable. The task is decentralized and the joint estimate can only be computed after the task ends by…

人工智能 · 计算机科学 2020-10-24 Mikko Lauri , Frans A. Oliehoek

We investigate time-optimal Multi-Robot Coverage Path Planning (MCPP) for both unweighted and weighted terrains, which aims to minimize the coverage time, defined as the maximum travel time of all robots. Specifically, we focus on a…

机器人学 · 计算机科学 2023-08-14 Jingtao Tang , Hang Ma

In this paper, we investigate a sequential dynamic team problem consisting of two agents with a nested information structure. We use a combination of the person-by-person and prescription approach to derive structural results for optimal…

最优化与控制 · 数学 2022-01-27 Aditya Dave , Andreas A. Malikopoulos

We consider the infinite-horizon discounted optimal control problem formalized by Markov Decision Processes. We focus on several approximate variations of the Policy Iteration algorithm: Approximate Policy Iteration, Conservative Policy…

人工智能 · 计算机科学 2014-05-13 Bruno Scherrer

Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

最优化与控制 · 数学 2020-05-11 Jia-Jie Zhu , Georg Martius