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We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a polyhedron in a multi dimensional space making statistical…

Adaptation and Self-Organizing Systems · Physics 2021-02-04 Jean-Guy Caputo , Valerie Girardin , Arnaud Knippel , Hieu Nguyen , Nathalie Niquil , Quentin Nogues

This paper deals with the problem of computing, in an online fashion, a maximum benefit multi-commodity flow (\ONMCF), where the flow demands may be bigger than the edge capacities of the network. We present an online, deterministic,…

Data Structures and Algorithms · Computer Science 2012-04-24 Guy Even , Moti Medina

Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks. We introduce two different ways how to compute the…

Numerical Analysis · Mathematics 2021-04-28 Michael Schuster , Elisa Strauch , Martin Gugat , Jens Lang

Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

Optimization and Control · Mathematics 2020-06-11 Yize Chen , Baosen Zhang

The decode-forward achievable region is studied for general networks. The region is subject to a fundamental tension in which nodes individually benefit at the expense of others. The complexity of the region depends on all the ways of…

Information Theory · Computer Science 2022-08-29 Jonathan Ponniah , Liang-Liang Xie

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 introduce a variant of Multicut Decomposition Algorithms (MuDA), called CuSMuDA (Cut Selection for Multicut Decomposition Algorithms), for solving multistage stochastic linear programs that incorporates strategies to select the most…

Optimization and Control · Mathematics 2019-07-23 Michelle Bandarra , Vincent Guigues

We consider multicommodity flow and cut problems in {\em polymatroidal} networks where there are submodular capacity constraints on the edges incident to a node. Polymatroidal networks were introduced by Lawler and Martel and Hassin in the…

Data Structures and Algorithms · Computer Science 2011-11-01 Chandra Chekuri , Sreeram Kannan , Adnan Raja , Pramod Viswanath

We consider the problem of learning optimal binary classification trees. Literature on the topic has burgeoned in recent years, motivated both by the empirical suboptimality of heuristic approaches and the tremendous improvements in…

Machine Learning · Statistics 2020-05-14 Sina Aghaei , Andres Gomez , Phebe Vayanos

This paper addresses developing cost-effective strategies to respond to excessive demand in the service network design problem in a multi-period setting. The common assumption states that the capacity of freight carriers' assets is capable…

Optimization and Control · Mathematics 2019-06-24 Yusuf Secerdin , Murat Erkoc

Existing techniques for the cost optimization of water distribution networks either employ meta-heuristics, or try to develop problem-specific optimization techniques. Instead, we exploit recent advances in generic NLP solvers and explore a…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Saumya Goyal , Om Damani , Ashutosh Mahajan

Multicommodity capacitated network design (MCND) models can be used to optimize the consolidation of shipments within e-commerce fulfillment networks. In practice, fulfillment networks require that shipments with the same origin and…

Optimization and Control · Mathematics 2026-01-01 Lacy M. Greening , Santanu S. Dey , Alan L. Erera

One of the most important aspects of moving forward to the next generation networks like 5G/6G, is to enable network slicing in an efficient manner. The most challenging issues are the uncertainties in computation and communication demand.…

Networking and Internet Architecture · Computer Science 2022-04-15 Sajjad Gholamipour , Behzad Akbari , Nader Mokari , Mohammad Mahdi Tajiki , Eduard Axel Jorswieck

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

In an attempt to speed up the solution of the unit commitment (UC) problem, both machine-learning and optimization-based methods have been proposed to lighten the full UC formulation by removing as many superfluous line-flow constraints as…

Optimization and Control · Mathematics 2022-03-15 Álvaro Porras , Salvador Pineda , Juan M. Morales , Asunción Jiménez-Cordero

We consider a network design problem with random arc capacities and give a formulation with a probabilistic capacity constraint on each cut of the network. To handle the exponentially-many probabilistic constraints a separation procedure…

Optimization and Control · Mathematics 2017-12-13 Alper Atamturk , Avinash Bhardwaj

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

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

Optimization and Control · Mathematics 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

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 study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis