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We propose a mixed-integer linear program (MILP) for multi-agent motion planning that embeds Polytopic Action-based Motion Planning (PAAMP) into a sequence-then-solve pipeline. Region sequences confine each agent to adjacent convex…

机器人学 · 计算机科学 2026-03-19 Akshay Jaitly , Jack Cline , Siavash Farzan

In the aftermath of an extreme natural hazard, community residents must have access to functioning food retailers to maintain food security. Food security is dependent on supporting critical infrastructure systems, including electricity,…

计算工程、金融与科学 · 计算机科学 2018-05-16 Saeed Nozhati , Yugandhar Sarkale , Bruce R. Ellingwood , Edwin K. P. Chong , Hussam Mahmoud

Planning in hybrid systems with both discrete and continuous control variables is important for dealing with real-world applications such as extra-planetary exploration and multi-vehicle transportation systems. Meanwhile, generating…

机器人学 · 计算机科学 2021-02-23 Jingkai Chen , Brian Williams , Chuchu Fan

Repair mechanisms are important within resilient systems to maintain the system in an operational state after an error occurred. Usually, constraints on the repair mechanisms are imposed, e.g., concerning the time or resources required…

系统与控制 · 计算机科学 2017-07-12 Christel Baier , Clemens Dubslaff , Ľuboš Korenčiak , Antonín Kučera Vojtěch Řehák

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

We consider the line planning problem in public transportation, under a robustness perspective. We present a mechanism for robust line planning in the case of multiple line pools, when the line operators have a different utility function…

计算机科学与博弈论 · 计算机科学 2015-05-27 Apostolos Bessas , Spyros Kontogiannis , Christos Zaroliagis

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

机器人学 · 计算机科学 2007-05-23 Matthew Earl , Raffaello D'Andrea

We introduce an aggregation framework to address multi-stage stochastic programs with mixed-integer state variables and continuous local variables (MSILPs). Our aggregation framework imposes additional structure to the integer state…

最优化与控制 · 数学 2023-05-11 Margarita P. Castro , Merve Bodur , Yongjia Song

A common challenge in real-time operations is deciding whether to re-solve an optimization problem or continue using an existing solution. While modern data platforms may collect information at high frequencies, many real-time operations…

机器学习 · 计算机科学 2025-09-30 Rui Ai , Hugo De Oliveira Barbalho , Sirui Li , Alexei Robsky , David Simchi-Levi , Ishai Menache

Supply chain (SC) risk management is influenced by both spatial and temporal attributes of different entities (suppliers, retailers, and customers). Each entity has given capacity and lead time for processing and transporting products to…

最优化与控制 · 数学 2023-08-08 Juan-Alberto Estrada-Garcia , Mingjie Bi , Dawn M. Tilbury , Kira Barton , Siqian Shen

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

The reliability redundancy allocation problem (RRAP) is a well-known tool in system design, development, and management. The RRAP is always modeled as a nonlinear mixed-integer non-deterministic polynomial-time hardness (NP-hard) problem.…

神经与进化计算 · 计算机科学 2020-06-18 Wei-Chang Yeh

Online optimization of resource management for large-scale data centers and infrastructures to meet dynamic capacity reservation demands and various practical constraints (e.g., feasibility and robustness) is a very challenging problem.…

网络与互联网体系结构 · 计算机科学 2024-10-18 Chang-Lin Chen , Hanhan Zhou , Jiayu Chen , Mohammad Pedramfar , Tian Lan , Zheqing Zhu , Chi Zhou , Pol Mauri Ruiz , Neeraj Kumar , Hongbo Dong , Vaneet Aggarwal

This paper presents an optimization framework for sequential reconfiguration using an assortment of switching devices and repair process in distribution system restoration. Compared to existing studies, this paper considers types,…

系统与控制 · 电气工程与系统科学 2021-07-20 Anmar Arif , Bai Cui , Zhaoyu Wang

In this paper, a 1+1 server protection scheme is considered where two servers, a primary and a secondary processing server are used to serve ECG monitoring applications concurrently. The infrastructure is designed to be resilient against…

系统与控制 · 电气工程与系统科学 2020-10-30 Ida Syafiza M. Isa , Taisir E. H. El-Gorashi , Mohamed O. I. Musa , J. M. H. Elmirghani

In many operational contexts, solutions to NP-hard combinatorial optimization problems, modeled by means of Mixed-Integer Linear Programming (MILP), may become infeasible due to unpredictable disruptions. Typically, reoptimizing by solving…

最优化与控制 · 数学 2026-05-27 Mathieu Lerouge , Andrea Lodi , Enrico Malaguti , Michele Monaci , Filippo Focacci

In this paper, we study distributionally risk-receptive and distributionally robust (or risk-averse) multistage stochastic mixed-integer programs (denoted by DRR- and DRO-MSIPs). We present cutting plane-based and reformulation-based…

最优化与控制 · 数学 2024-09-26 Sumin Kang , Manish Bansal

Security-Constrained Unit Commitment is a fundamental optimization problem in power systems operations. The primary computational bottleneck arises from the need to solve large-scale Linear Programming (LP) relaxations within…

最优化与控制 · 数学 2025-10-14 Jinxin Xiong , Yanting Huang , Yingxiao Wang , Linxin Yang , Jianghua Wu , Shunbo Lei , Akang Wang

Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated as a mixed-integer nonlinear program (MINLP), is…

最优化与控制 · 数学 2026-01-13 Sai Krishna Kanth Hari , Russell Bent

Supply chain resilience analysis aims to identify the critical elements in the supply chain, measure its reliability, and analyze solutions for improving vulnerabilities. While extensive methods like stochastic approaches have been…

风险管理 · 定量金融 2024-05-22 Yaxin Pang , Shenle Pan , Eric Ballot