Exact and Approximate Solutions to the Multisource Weber Problem

Robert E. Kuenne
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Robert E. Kuenne: Princeton University

Chapter 10 in General Equilibrium Economics, 1992, pp 241-257 from Palgrave Macmillan

Abstract: Abstract The concern of modern spatial economists with the optimal location of variable points (sources) in 2-space with respect to a set of fixed points (sinks), when the co-ordinates of the sources may vary continuously, dates from the publication of Alfred Weber’s work in industrial location theory [15]. Weber’s analysis was largely confined to the location of a single source, and, although he offered no method of solution, recent work has led to an efficient algorithm for exact solution of the problem (the single-source algorithm). The present paper treats the multisource Weber problem and presents (1) a branch-and-bound algorithm for the exact solution of the problem, which, to the best of our knowledge, is original (MULTIWEB), and (2) an approximate algorithm, to be used in support of MULTIWEB or in its place when appropriate, for which we claim no priority (CROSSCUT).

Keywords: Active Node; Node Storage; Initial Source; Weber Problem; Sink Location (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:pal:palchp:978-1-349-12752-8_11

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DOI: 10.1007/978-1-349-12752-8_11

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