TY - JOUR
T1 - Multicriteria analysis of water allocation in a river basin
T2 - The Tchebycheff Approach
AU - Greis, Noel P.
AU - Wood, Eric F.
AU - Steuer, Ralph E.
PY - 1983/8
Y1 - 1983/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0020972313&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0020972313&partnerID=8YFLogxK
U2 - 10.1029/WR019i004p00865
DO - 10.1029/WR019i004p00865
M3 - Article
AN - SCOPUS:0020972313
SN - 0043-1397
VL - 19
SP - 865
EP - 875
JO - Water Resources Research
JF - Water Resources Research
IS - 4
ER -