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Multicriteria analysis of water allocation in a river basin: The Tchebycheff Approach
Author(s) -
Greis Noel P.,
Wood Eric F.,
Steuer Ralph E.
Publication year - 1983
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr019i004p00865
Subject(s) - mathematical optimization , set (abstract data type) , metric (unit) , extreme point , mathematics , multi objective optimization , point (geometry) , frame (networking) , drainage basin , derangement , computer science , combinatorics , geography , operations management , engineering , telecommunications , geometry , cartography , programming language
A new interactive multiple objective methodology is applied to the seasonal water allocation problem. Linear optimization and filtering procedures are combined within a multiobjective frame‐work in order to identify nondominated solutions associated with randomly sampled criteria vectors. The procedure samples from the entire nondominated set, not just the set of nondominated extreme points, by computing the nondominated criteria vector that is closest to an ideal criteria vector according to a weighted Tchebycheff metric. Unlike many other multicriteria methods, the Tchebycheff procedure is capable of finding solutions of highest utility which may not correspond to extreme point solutions. The procedure is applied to the problem of water allocation in a river basin where a large number of conflicting objectives, including environmental objectives, compete for the available supply.