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The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

Optimization and Control · Mathematics 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto

We consider the multi-item inventory lot-sizing problem with supplier selection. The problem consists of determining an optimal purchasing plan in order to satisfy dynamic deterministic demands for multiple items over a finite planning…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

We introduce the refined assortment optimization problem where a firm may decide to make some of its products harder to get instead of making them unavailable as in the traditional assortment optimization problem. Airlines, for example,…

Theoretical Economics · Economics 2021-02-08 Gerardo Berbeglia , Alvaro Flores , Guillermo Gallego

In this paper we study a variant of the branched transportation problem, that we call multi-material transport problem. This is a transportation problem, where distinct commodities are transported simultaneously along a network. The cost of…

Analysis of PDEs · Mathematics 2019-03-07 Andrea Marchese , Annalisa Massaccesi , Riccardo Tione

Inland waterway transportation network significantly supports the overall freight transportation of the nation. In order to ensure efficient and timely commodity transportation through this network, this study aims at developing a reliable…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Amin Aghalari , Farjana Nur , Mohammad Marufuzzaman , Stephen M. Puryear

This paper investigates complex product-innovation processes using models grounded in a set of heuristics. Each heuristic is expressed through simple trends -- increasing, decreasing, or constant -- which serve as minimally…

Artificial Intelligence · Computer Science 2026-01-19 Nina Bočková , Barbora Volná , Mirko Dohnal

The multi-commodity flow (MCF) problem is a fundamental topic in network flow and combinatorial optimization, with broad applications in transportation, communication, and logistics, etc. Nowadays, the rapid expansion of allocation systems…

Machine Learning · Computer Science 2026-02-12 Xinyu Yuan , Yan Qiao , Zonghui Wang , Wenzhi Chen

Optical flow estimation can be formulated as an end-to-end supervised learning problem, which yields estimates with a superior accuracy-runtime tradeoff compared to alternative methodology. In this paper, we make such networks estimate…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Eddy Ilg , Özgün Çiçek , Silvio Galesso , Aaron Klein , Osama Makansi , Frank Hutter , Thomas Brox

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

Problem definition: We study efficient exact solution approaches to solve chance-constrained multicommodity network design problems under demand uncertainty, an important class of network design problems. The chance constraint requires us…

Optimization and Control · Mathematics 2024-03-07 Niels A. Wouda , Ward Romeijnders , Evrim Ursavas

This paper investigates the operator mapping problem for in-network stream-processing applications. In-network stream-processing amounts to applying one or more trees of operators in steady-state, to multiple data objects that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-05 Anne Benoit , Henri Casanova , Veronika Rehn-Sonigo , Yves Robert

We study an incremental network design problem, where in each time period of the planning horizon an arc can be added to the network and a maximum flow problem is solved, and where the objective is to maximize the cumulative flow over the…

Discrete Mathematics · Computer Science 2014-12-12 Thomas Kalinowski , Dmytro Matsypura , Martin W. P. Savelsbergh

Link prediction, or the inference of future or missing connections between entities, is a well-studied problem in network analysis. A multitude of heuristics exist for link prediction in ordinary networks with a single type of connection.…

Machine Learning · Computer Science 2020-04-10 Robert E. Tillman , Vamsi K. Potluru , Jiahao Chen , Prashant Reddy , Manuela Veloso

This paper studies an extension of the rural postman problem with multiple depots and rechargeable and reusable vehicles capable of multiple trips with capacity constraints. This paper presents a new Mixed Integer Linear Programming (MILP)…

Multiagent Systems · Computer Science 2024-11-20 Eashwar Sathyamurthy , Jeffrey W. Herrmann , Shapour Azarm

Consider a transportation problem with sets of sources and sinks. There are profits and prices on the edges. The goal is to maximize the profit while meeting the following constraints; the total flow going out of a source must not exceed…

Data Structures and Algorithms · Computer Science 2013-02-26 S. Kapoor , M. Sarwat

This paper addresses the problem of managing perishable inventory under multiple sources of uncertainty, including stochastic demand, unreliable supplier fulfillment, and probabilistic product shelf life. We develop a discrete-event…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Leonardo Kanashiro Felizardo , Edoardo Fadda , Mariá Cristina Vasconcelos Nascimento

Maritime Inventory Routing Problem (MIRP) plays a crucial role in the integration of global maritime commerce levels. However, there are still no well-established methodologies capable of efficiently solving large MIRP instances or their…

Artificial Intelligence · Computer Science 2025-06-13 Nathalie Sanghikian , Rafael Meirelles , Rafael Martinelli , Anand Subramanian

This paper studies the problem of estimating origin-destination (OD) flows from link flows. As the number of link flows is typically much less than that of OD flows, the inverse problem is severely ill-posed and hence prior information is…

Computational Engineering, Finance, and Science · Computer Science 2018-10-16 Jingyuan Xia , Wei Dai , John Polak , Michel Bierlaire

One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the rate achievable with routing alone, and is achievable with…

Information Theory · Computer Science 2008-02-04 Terence Chan , Alex Grant

In this paper, a heuristic for a heterogeneous min-max multi-vehicle multi-depot traveling salesman problem is proposed, wherein heterogeneous vehicles start from given depot locations and need to cover a given set of targets. In the…

Optimization and Control · Mathematics 2024-11-01 Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl