Steiner's problem and fagnano's result on the sphere

DOI10.1007/BF01588324zbMath0433.90029MaRDI QIDQ3872168

Adel A. Aly, Daniel W. Jun. Litwhiler

Publication date: 1980

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

facility locationnecessary conditionslogisticsunit weightsSteiner's problemoptimum solutionslocation on the sphere3 demand points4 demand pointsspherical Steiner-Weber location problem

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30) Inventory, storage, reservoirs (90B05)

Related Items (2)

Minimal length tree networks on the unit sphere ⋮ The Steiner problem on surfaces of revolution

Cites Work

• Unnamed Item
• Global subsets of the sphere
• On the Problem of Steiner
• Location-Allocation Problems
• A Note on the Fermat Problem
• Optimal Facility Location for Normally and Exponentially Distributed Points
• Technical Note—Location Theory: A Selective Bibliography
• On Steiner’s Problem with Rectilinear Distance
• Steiner Minimal Trees
• On the Steiner Problem
• On the Efficiency of the Algorithm for Steiner Minimal Trees

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