Decisions making for fraction functions By Using Goal Programming Method
Main Article Content
Abstract
Decision making is vital and important activity in field operations research ,engineering ,administration science and economic science with any industrial or service company or organization because the core of management process as well as improve him performance . The research includes decision making process when the objective function is fraction function and solve models fraction programming by using some fraction programming methods and using goal programming method aid programming ( win QSB )and the results explain the effect use the goal programming method in decision making process when the objective function is
fraction .
Article Details
Section
How to Cite
References
‐ Bhatt S. K. ," Equivalence of various linearization algorithms for linear fractional programming",Volume 33, Number 1,p. 39-
, (1989).
- Crouzeix J.P. , Ferland J. A. و Schaible S. ," Duality in generalized linear fractional programming”, Mathematical Programming, Volume 27, Number 3 ، p.342-354 (1983).
- Feng F., Xia Y. و Zhang Q. ," A Recurrent Neural Network for Linear Fractional Programming with Bound Constraints",(2006)
- Arévalo M. T. , Mármol A. M. و Zapata A. ,” The tolerance approach in multiobjective linear fractional programming”, TOP,
Volume 5, Number 2 ,p. 241-252, (1997 ).
- Nemirovski A. ," The long-step method of analytic centers for fractional problems",Mathematical Programming,Volume 77, Number 1 ،p. 191-224,( 1997 ).
- Mehra A. , Chandra S. و Bector C. R. ," Acceptable optimality in linear fractional programming with fuzzy coefficients",Fuzzy Optimization and Decision Making,Volume 6, Number 1,p. 5-16, (2007).
- Nesterov Y. E. و Nemirovskii A. S. ," An interior-point method for generalized linearfractional programming",Mathematical
Programming,Volume 69, Numbers 1-3 ,p. 177-204, (1995).http://www.google.com, fractional linear programming
.12- Saleh M. " The Optimal Egyptian Cropping Pattern Using NonlinearFractional Programming", Egyptian Informatics Journal, Vol. 6, No.1, June( 2005).
-13 رحيمه ،رشيد بشير ،"صياغة وحل نماذج البرمجة الكسرية باستخدام طريقة لاآرانج المطورة " مجلة علوم ذي قار العدد ،7 المجلد 5 (2011).
-14 رحيمه ،رشيد بشير ، "حل مسائل البرمجة البرمجة الهدفية الخطية باستخدام المصفوفات " مجلة علوم ذي قار العدد ،1 المجلد 1 (2007) .
- Katagiri H. و Sakawa M. ," A Study on Fuzzy Random Linear Programming Problems Based on Possibility and Necessity Measures",(2003).
- Hamdy A.T.," operations research an introduction " seventh ed. Canada ,by Maxwell publishing company ,(2004) .
حسن ،عباس أحمد ،" أستخدام طريقة تطوير مولد قطع المستوي لايجاد الحل العددي لمسائل البرمجة الكسرية " مجلة الهندسة والتكنولوجيا ، المجلد
، العدد ( 4 ) (2008 ).
- Rugg , M.M. , & White , G.P. & Endres , J.M. , (1983) “Using Goal Programming to Improve Calculation of Diabetic Diels ” , Computer and Operation Research , Vol. 10 , P. 365-374 .
- Martel J.M. and Aouni B., Incorporating the Decision-Makers Preferences in the GoalProgramming Model. [1990], Journal of the
Operational Research Society, Vol.(12):P ( 1121- 132 ). 2009 ] Journal of the operational research Society vol.( 60 ) ,P ( 1411-1420) .
- Nesa , W. & Richard , C. (1981) , “ Linear Programming and Extensions ” , McGraw – Hill , Inc.
-Ignizio , J.P. , (1978) , “ A review of Goal Programming : A Tool for Multiobjective Analysis ” , J. op1.Res. Soc. , Vol. 29 , p. 1109- 1119