Linear optimization with multiple equitable criteria
Michael M. Kostreva; Wodzimierz Ogryczak
RAIRO - Operations Research (2010)
- Volume: 33, Issue: 3, page 275-297
- ISSN: 0399-0559
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topKostreva, Michael M., and Ogryczak, Wodzimierz. "Linear optimization with multiple equitable criteria ." RAIRO - Operations Research 33.3 (2010): 275-297. <http://eudml.org/doc/197801>.
@article{Kostreva2010,
abstract = {
The standard multiple criteria optimization starts with an
assumption that the criteria are incomparable. However, there are many
applications in which the criteria express ideas of allocation of
resources meant to achieve some equitable distribution. This paper
focuses on solving linear multiple criteria optimization problems with
uniform criteria treated in an equitable way. An axiomatic definition of
equitable efficiency is introduced as an refinement of
Pareto-optimality. Various generation techniques are examined and the
structure of the equitably efficient set is analyzed.
},
author = {Kostreva, Michael M., Ogryczak, Wodzimierz},
journal = {RAIRO - Operations Research},
keywords = {Multiple criteria; linear programming; efficiency; equity. ; multiple criteria; equity},
language = {eng},
month = {3},
number = {3},
pages = {275-297},
publisher = {EDP Sciences},
title = {Linear optimization with multiple equitable criteria },
url = {http://eudml.org/doc/197801},
volume = {33},
year = {2010},
}
TY - JOUR
AU - Kostreva, Michael M.
AU - Ogryczak, Wodzimierz
TI - Linear optimization with multiple equitable criteria
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 3
SP - 275
EP - 297
AB -
The standard multiple criteria optimization starts with an
assumption that the criteria are incomparable. However, there are many
applications in which the criteria express ideas of allocation of
resources meant to achieve some equitable distribution. This paper
focuses on solving linear multiple criteria optimization problems with
uniform criteria treated in an equitable way. An axiomatic definition of
equitable efficiency is introduced as an refinement of
Pareto-optimality. Various generation techniques are examined and the
structure of the equitably efficient set is analyzed.
LA - eng
KW - Multiple criteria; linear programming; efficiency; equity. ; multiple criteria; equity
UR - http://eudml.org/doc/197801
ER -
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