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This paper presents a novel outer approximation algorithm for nonsmooth mixed-integer nonlinear programming (MINLP) problems. The method proceeds by fixing the integer variables and solving the resulting nonlinear convex subproblem. When…

Optimization and Control · Mathematics 2026-02-05 Zhou Wei , He-Yi Liu , Bo Zeng

The Maximal Covering Location Problem (MCLP) represents a fundamental optimization challenge in facility location theory, where the objective is to maximize demand coverage while operating under resource constraints. This paper presents a…

Data Structures and Algorithms · Computer Science 2025-09-30 Sukanya Samanta , Abhi Rohit Kalathoti , Siva Jayanth Gonchi , Venkata Krishna Kashyap Adiraju , Sai Kiran Nettem

In model predictive control (MPC) for hybrid systems, solving optimization problems efficiently and with guarantees on worst-case computational complexity is critical to satisfy the real-time constraints in these applications. These…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Shamisa Shoja , Daniel Arnström , Daniel Axehill

This paper addresses the single-item single-stocking location stochastic lot sizing problem under the $(s, S) $ policy. We first present a mixed integer non-linear programming (MINLP) formulation for determining near-optimal $(s, S)$ policy…

Optimization and Control · Mathematics 2018-09-17 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

We consider the chance-constrained program (CCP) with random right-hand side under a finite discrete distribution. It is known that the standard mixed integer linear programming (MILP) reformulation of the CCP is generally difficult to…

Optimization and Control · Mathematics 2026-01-28 Wei Lv , Wei-Kun Chen , Yu-Hong Dai , Xiao-Jiao Tong

We consider a generalization of the classical planar maximum coverage location problem (PMCLP) in which partial coverage is allowed, facilities have adjustable quality of service (QoS) or service range, and demand zones and service zone of…

Optimization and Control · Mathematics 2020-12-17 Manish Bansal , Parshin Shojaee

We address the problem of maximizing the number of stalls in parking lots where vehicles park perpendicular to the driveways. Building on recent research on two-way driving lanes, we first formulate a mixed integer program to maximize the…

Optimization and Control · Mathematics 2025-12-09 Helen Thomas , Tarun Rambha

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

Mixed-Integer Linear Programming (MILP) lies at the core of many real-world combinatorial optimization (CO) problems, traditionally solved by branch-and-bound (B&B). A key driver influencing B&B solvers efficiency is the variable selection…

Machine Learning · Computer Science 2026-04-03 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

Mixed-Integer Linear Programming (MILP) is a powerful framework used to address a wide range of NP-hard combinatorial optimization problems, often solved by Branch and Bound (B&B). A key factor influencing the performance of B&B solvers is…

Machine Learning · Computer Science 2025-10-23 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

Optimization and Control · Mathematics 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

Mixed-integer programming (MIP) provides a powerful framework for optimization problems, with Branch-and-Cut (B&C) being the predominant algorithm in state-of-the-art solvers. The efficiency of B&C critically depends on heuristic policies…

Machine Learning · Computer Science 2025-05-20 Hongyu Cheng , Amitabh Basu

We propose a new and strengthened Branch-and-Bound (BnB) algorithm for the maximum common (connected) induced subgraph problem based on two new operators, Long-Short Memory (LSM) and Leaf vertex Union Match (LUM). Given two graphs for which…

Data Structures and Algorithms · Computer Science 2022-01-19 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li , Yanli Liu

Many relevant applications from diverse areas such as marketing, wildlife conservation, or defending critical infrastructure can be modeled as interdiction games. In this work, we introduce interdiction games whose objective is a monotone…

Optimization and Control · Mathematics 2023-03-24 Kübra Tanınmış , Markus Sinnl

In many real-world optimization problems, more than one objective plays a role and input parameters are subject to uncertainty. In this paper, motivated by applications in disaster relief and public facility location, we model and solve a…

Optimization and Control · Mathematics 2020-04-24 Sophie N. Parragh , Fabien Tricoire , Walter Gutjahr

In this paper we analyze a continuous version of the maximal covering location problem, in which the facilities are required to be interconnected by means of a graph structure in which two facilities are allowed to be linked if a given…

Optimization and Control · Mathematics 2020-05-08 Víctor Blanco , Ricardo Gázquez

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

The maximal biclique enumeration problem in bipartite graphs is fundamental and has numerous applications in E-commerce and transaction networks. Most existing studies adopt a branch-and-bound framework, which recursively expands a partial…

Data Structures and Algorithms · Computer Science 2026-02-26 Kaixin Wang , Kaiqiang Yu , Cheng Long

The virtual machine consolidation problem (VMCP) attempts to determine which servers to be activated, how to allocate virtual machines (VMs) to the activated servers, and how to migrate VMs among servers such that the summation of…

Data Structures and Algorithms · Computer Science 2022-12-26 Jiang-Yao Luo , Liang Chen , Wei-Kun Chen , Jian-Hua Yuan , Yu-Hong Dai