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Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

Optimization and Control · Mathematics 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng

This study addresses a class of linear mixed-integer programming (MILP) problems that involve uncertainty in the objective function parameters. The parameters are assumed to form a random vector, whose probability distribution can only be…

Optimization and Control · Mathematics 2024-03-07 Sergey S. Ketkov

In edge intelligence systems, deep neural network (DNN) partitioning and data offloading can provide real-time task inference for resource-constrained mobile devices. However, the inference time of DNNs is typically uncertain and cannot be…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Zhaojun Nan , Yunchu Han , Sheng Zhou , Zhisheng Niu

In this paper, we consider the Delay Constrained Unsplittable Shortest Path Routing problem which arises in the field of traffic engineering for IP networks. This problem consists, given a directed graph and a set of commodities, to compute…

Data Structures and Algorithms · Computer Science 2020-06-09 Amal Benhamiche , Morgan Chopin

Non-convex, nonlinear gas network optimization models are used to determine the feasibility of flows on existing networks given constraints on network flows, gas mixing, and pressure loss along pipes. This work improves two existing gas…

Optimization and Control · Mathematics 2025-01-22 Geonhee Kim , Christopher Lourenco , Daphne Skipper , Luze Xu

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…

Risk Management · Quantitative Finance 2024-05-22 Yaxin Pang , Shenle Pan , Eric Ballot

In this paper, we consider the network slicing (NS) problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and manage network resources to meet diverse…

Information Theory · Computer Science 2025-07-03 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

While consolidation strategies form the backbone of many supply chain optimisation problems, exploitation of multi-tier material relationships through consolidation remains an understudied area, despite being a prominent feature of…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Vinod Kumar Chauhan , Muhannad Alomari , James Arney , Ajith Kumar Parlikad , Alexandra Brintrup

Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

Machine Learning · Computer Science 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

This paper presents a solver-friendly logic-based mixed-integer nonlinear programming model (LB-MINLP) to solve economic dispatch (ED) problems considering disjoint operating zones and valve-point effects. A simultaneous consideration of…

Optimization and Control · Mathematics 2018-10-15 Mahdi Pourakbari-Kasmaei , Mahmud Fotuhi-Firuzabad , Jose Roberto Sanches Mantovani

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

Optimization and Control · Mathematics 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

Supplier selection and order allocation (SSOA) are key strategic decisions in supply chain management which greatly impact the performance of the supply chain. Although, the SSOA problem has been studied extensively but less attention paid…

Computational Engineering, Finance, and Science · Computer Science 2023-01-03 Vinod Kumar Chauhan , Stephen Mak , Ajith Kumar Parlikad , Muhannad Alomari , Linus Casassa , Alexandra Brintrup

This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order…

Optimization and Control · Mathematics 2012-06-01 Maryam Mohammadi , Masine Md. Tap

In the fashion industry, order scheduling focuses on the assignment of production orders to appropriate production lines. In reality, before a new order can be put into production, a series of activities known as pre-production events need…

Artificial Intelligence · Computer Science 2017-02-02 Wei Du , Yang Tang , Sunney Yung Sun Leung , Le Tong , Athanasios V. Vasilakos , Feng Qian

This work attempts to combine the strengths of two major technologies that have matured over the last three decades: global mixed-integer nonlinear optimization and branch-and-price. We consider a class of generally nonconvex mixed-integer…

Optimization and Control · Mathematics 2020-01-08 Andrew Allman , Qi Zhang

Determining what to eat to satisfy nutritional requirements is one of the oldest optimization problems in operations research, yet existing formulations have two persistent limitations: continuous variables produce impractical fractional…

Artificial Intelligence · Computer Science 2026-05-15 Francisco Aguilera Moreno

We study the problem of routing vehicles with energy constraints through a network where there are at least some charging nodes. We seek to minimize the total elapsed time for vehicles to reach their destinations by determining routes as…

Optimization and Control · Mathematics 2014-01-28 Tao Wang , Christos G. Cassandras , Sepideh Pourazarm

Production logistics has an important role as a chain that connects the components of the production system. The most important goal of production logistics plans is to keep the flow of the production system well. However, compared to the…

Optimization and Control · Mathematics 2022-04-01 Yongkuk Jeong , Gianpiero Canessa , Erik Flores-García , Tarun Kumar Agrawal , Magnus Wiktorsson
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