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Application of multiple criteria goal programming for solving some management and production problems

Primena višekriterijumskog ciljnog programiranja za rešavanje nekih problema menadžmenta i proizvodnje

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2012
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Authors
Praščević, Živojin
Praščević, Nataša
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Abstract
One method for solving multiple criteria fractional goal programming problem is proposed in this paper. In this method are introduced deviational variables that express increases or decreases of objective functions related to their given goals. The fractional objective functions are transformed to unfractional ones that contains deviational variables. An auxiliary objective function, which contains deviational variables only, is formulated and the problem is solved as a nonlinear or linear program. One example related to the optimal program of production in some production plant is presented in the paper.
U ovom radu se predlaže jedan postupak za rešavanje problema mutikriterijumskog razlomačkog ciljnog programiranja. Uvode se devijacione promenljive koje izražavaju povećanje ili smanjenje funkcija kriterijuma u odnosu na definisane ciljeve koji se žele postići. Funkcije cilja transformišu se u obične funkcije ograničenja koje sadrže devijacione promenljive. Formuliše se pomoćna funkcija kriterijuma koja sadrži samo devijacione promenljive i problem rešava kao zadatak nelinearnog ili linearnog programiranja. U radu je urađen jedan primer za određivanje optimalnog programa proizvodnje.
Keywords:
multiple criteria programming / fractional programming / goal programming / višekriterijumsko programiranje / razlomačko programiranje / ciljno programiranje
Source:
Izgradnja, 2012, 66, 3-4, 149-156
Publisher:
  • Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd

ISSN: 0350-5421

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_472
URI
https://grafar.grf.bg.ac.rs/handle/123456789/472
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  • Radovi istraživača / Researcher's publications
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Institution/Community
GraFar
TY  - JOUR
AU  - Praščević, Živojin
AU  - Praščević, Nataša
PY  - 2012
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/472
AB  - One method for solving multiple criteria fractional goal programming problem is proposed in this paper. In this method are introduced deviational variables that express increases or decreases of objective functions related to their given goals. The fractional objective functions are transformed to unfractional ones that contains deviational variables. An auxiliary objective function, which contains deviational variables only, is formulated and the problem is solved as a nonlinear or linear program. One example related to the optimal program of production in some production plant is presented in the paper.
AB  - U ovom radu se predlaže jedan postupak za rešavanje problema mutikriterijumskog razlomačkog ciljnog programiranja. Uvode se devijacione promenljive koje izražavaju povećanje ili smanjenje funkcija kriterijuma u odnosu na definisane ciljeve koji se žele postići. Funkcije cilja transformišu se u obične funkcije ograničenja koje sadrže devijacione promenljive. Formuliše se pomoćna funkcija kriterijuma koja sadrži samo devijacione promenljive i problem rešava kao zadatak nelinearnog ili linearnog programiranja. U radu je urađen jedan primer za određivanje optimalnog programa proizvodnje.
PB  - Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd
T2  - Izgradnja
T1  - Application of multiple criteria goal programming for solving some management and production problems
T1  - Primena višekriterijumskog ciljnog programiranja za rešavanje nekih problema menadžmenta i proizvodnje
EP  - 156
IS  - 3-4
SP  - 149
VL  - 66
UR  - https://hdl.handle.net/21.15107/rcub_grafar_472
ER  - 
@article{
author = "Praščević, Živojin and Praščević, Nataša",
year = "2012",
abstract = "One method for solving multiple criteria fractional goal programming problem is proposed in this paper. In this method are introduced deviational variables that express increases or decreases of objective functions related to their given goals. The fractional objective functions are transformed to unfractional ones that contains deviational variables. An auxiliary objective function, which contains deviational variables only, is formulated and the problem is solved as a nonlinear or linear program. One example related to the optimal program of production in some production plant is presented in the paper., U ovom radu se predlaže jedan postupak za rešavanje problema mutikriterijumskog razlomačkog ciljnog programiranja. Uvode se devijacione promenljive koje izražavaju povećanje ili smanjenje funkcija kriterijuma u odnosu na definisane ciljeve koji se žele postići. Funkcije cilja transformišu se u obične funkcije ograničenja koje sadrže devijacione promenljive. Formuliše se pomoćna funkcija kriterijuma koja sadrži samo devijacione promenljive i problem rešava kao zadatak nelinearnog ili linearnog programiranja. U radu je urađen jedan primer za određivanje optimalnog programa proizvodnje.",
publisher = "Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd",
journal = "Izgradnja",
title = "Application of multiple criteria goal programming for solving some management and production problems, Primena višekriterijumskog ciljnog programiranja za rešavanje nekih problema menadžmenta i proizvodnje",
pages = "156-149",
number = "3-4",
volume = "66",
url = "https://hdl.handle.net/21.15107/rcub_grafar_472"
}
Praščević, Ž.,& Praščević, N.. (2012). Application of multiple criteria goal programming for solving some management and production problems. in Izgradnja
Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd., 66(3-4), 149-156.
https://hdl.handle.net/21.15107/rcub_grafar_472
Praščević Ž, Praščević N. Application of multiple criteria goal programming for solving some management and production problems. in Izgradnja. 2012;66(3-4):149-156.
https://hdl.handle.net/21.15107/rcub_grafar_472 .
Praščević, Živojin, Praščević, Nataša, "Application of multiple criteria goal programming for solving some management and production problems" in Izgradnja, 66, no. 3-4 (2012):149-156,
https://hdl.handle.net/21.15107/rcub_grafar_472 .

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