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Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version where operational costs are uncertain due to fluctuating…

Optimization and Control · Mathematics 2025-01-08 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet , Periklis Petridis

This paper considers the network slicing (NS) problem which attempts to map multiple customized virtual network requests to a common shared network infrastructure and allocate network resources to meet diverse service requirements. This…

Information Theory · Computer Science 2024-09-26 Wei-Kun Chen , Zheyu Wu , Rui-Jin Zhang , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

Scenario-based optimization problems can be solved via Benders decomposition, which separates first-stage (master problem) decisions from second-stage (subproblem) recourse actions and iteratively refines the master problem with Benders…

Optimization and Control · Mathematics 2026-04-13 Tim Donkiewicz

This paper proposes a novel reinforcement learning framework to address the Liner Shipping Network Design Problem (LSNDP), a challenging combinatorial optimization problem focused on designing cost-efficient maritime shipping routes.…

Artificial Intelligence · Computer Science 2024-11-15 Utsav Dutta , Yifan Lin , Zhaoyang Larry Jin

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

Optimization and Control · Mathematics 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

Optimization and Control · Mathematics 2023-05-11 Maryam Daryalal , Hamed Pouya

This paper develops an exact solution framework for the choice-based time slot management problem under mixed logit demand in attended home delivery systems. The problem jointly optimizes delivery slot offerings, price discounts, and…

Optimization and Control · Mathematics 2026-05-12 Dorsa Abdolhamidi , Carla Juvin , Virginie Lurkin

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

Optimization and Control · Mathematics 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger

Benders decomposition is widely used to solve large mixed-integer problems. This paper takes advantage of machine learning and proposes enhanced variants of Benders decomposition for solving two-stage stochastic security-constrained unit…

Optimization and Control · Mathematics 2023-11-21 Fouad Hasan , Amin Kargarian

We consider two covering variants of the network design problem. We are given a set of origin/destination pairs, called O/D pairs, and each such O/D pair is covered if there exists a path in the network from the origin to the destination…

Optimization and Control · Mathematics 2021-09-07 Víctor Bucarey , Bernard Fortz , Natividad González-Blanco , Martine Labbé , Juan A. Mesa

This paper examines the generalisation of the Pickup and Delivery Problem that allows mid-route load exchanges among vehicles and obeys strict time-windows at all locations. We propose a novel Logic-Based Benders Decomposition (LBBD) that…

Optimization and Control · Mathematics 2025-05-06 Ioannis Avgerinos , Ioannis Mourtos , Nikolaos Tsompanidis , Georgios Zois

The growth in online shopping and third party logistics has caused a revival of interest in finding optimal solutions to the large scale in-transit freight consolidation problem. Given the shipment date, size, origin, destination, and due…

Optimization and Control · Mathematics 2018-01-29 Abdulkader S Hanbazazah , Luis E. Abril , Nazrul I Shaikh , Murat Erkoc

Benders decomposition is one of the most applied methods to solve two-stage stochastic problems (TSSP) with a large number of scenarios. The main idea behind the Benders decomposition is to solve a large problem by replacing the values of…

Optimization and Control · Mathematics 2022-11-24 Cristian Ramírez-Pico , Ivana Ljubić , Eduardo Moreno

In Answer Set Programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the…

Artificial Intelligence · Computer Science 2023-05-23 Paola Cappanera , Marco Gavanelli , Maddalena Nonato , Marco Roma

We consider a problem concerning a network and a set of maintenance requests to be undertaken. We wish to schedule the maintenance in such a way as to minimise the impact on the total throughput of the network. We apply disaggregated…

Optimization and Control · Mathematics 2017-03-17 Robin H. Pearce , Michael Forbes

To meet sustainability goals and regulatory requirements, transit agencies worldwide are planning partial and full transitions to electric bus fleets. This paper presents a comprehensive and computationally efficient multi-period…

Optimization and Control · Mathematics 2025-12-29 Robin Legault , Filipe Cabral , Xu Andy Sun

The COVID-19 pandemic has been a recent example for the spread of a harmful contagion in large populations. Moreover, the spread of harmful contagions is not only restricted to an infectious disease, but is also relevant to computer viruses…

Optimization and Control · Mathematics 2024-04-26 Kübra Tanınmış , Necati Aras , Evren Güney , Markus Sinnl

We present an approach for solving to optimality the budget-constrained Dynamic Uncapacitated Facility Location and Network Design problem (DUFLNDP). This is a problem where a network must be constructed or expanded and facilities placed in…

Optimization and Control · Mathematics 2017-03-21 Robin H Pearce , Michael Forbes
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