Global Optimization of Nonlinear Network Design

DOI10.1137/110827387zbMath1270.90036OpenAlexW2055263688MaRDI QIDQ5300527

Arvind U. Raghunathan

Publication date: 27 June 2013

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f6c8611ca263d8172cc9f32d6f4acd82c211f9bc

zbMATH Keywords

mixed-integer nonlinear programlinearization-based branch-and-cutnonlinear resistance networks

Mathematics Subject Classification ID

Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Nonconvex programming, global optimization (90C26) Combinatorial optimization (90C27)

Related Items (12)

Optimization of capacity expansion in potential-driven networks including multiple looping: a comparison of modelling approaches ⋮ Pump scheduling in drinking water distribution networks with an LP/NLP-based branch and bound ⋮ Mathematical programming techniques in water network optimization ⋮ Simulation-optimization approaches for water pump scheduling and pipe replacement problems ⋮ Optimal pipe-sizing problem of tree-shaped gas distribution networks ⋮ Tight convex relaxations for the expansion planning problem ⋮ Robust optimal discrete arc sizing for tree-shaped potential networks ⋮ Combinatorial acyclicity models for potential‐based flows ⋮ Convex reformulations for solving a nonlinear network design problem ⋮ An Exact Algorithmic Framework for a Class of Mixed-Integer Programs with Equilibrium Constraints ⋮ Solving nearly-separable quadratic optimization problems as nonsmooth equations ⋮ Global optimality bounds for the placement of control valves in water supply networks

Uses Software

• KNITRO
• CPLEX

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