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A quasiNewton trust region method based on a new fractional model
Pseudoconvexity properties of average cost functions
1.  The School of Business, National University of Mongolia, P.O.BOX46/635, Ulaanbaatar 210646, Mongolia 
2.  The School of Business, National University of Mongolia, Ulaanbaatar 210646, Mongolia 
3.  Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Russian Federation 
References:
[1] 
A. Adriana and L. Tony, Cost minimization under variable input prices: A theoretical approach,, Romanian Journal for Economic Forecasting, 1 (2013), 70. 
[2] 
L. Basskin, Using costminimization analysis to select from equally effective alternatives,, Formulary, 33 (1998), 1209. 
[3] 
A. H. Briggs and B. J. O'Brien, The death of costminimization analysis?, Health Economics, 10 (2001), 179. 
[4] 
Donald W. Katzner, Walrasian Microeconomics: An Introduction to the Economic Theory of Market Behavior,, AddisonPublisher, (1988). 
[5] 
R. Enkhbat, Quasiconvex Programming,, Lambert Publisher, (2009). 
[6] 
R. Enkhbat, Y. Bazarsad and J. Enkhbayar, A method for fractional programming,, International Journal of Pure and Applied Mathematics, 73 (2011), 93. 
[7] 
J. Henderson and R. Quandt, Microeconomic Theory: A Mathematical Approach,, McGrawHill Book Company, (1980). 
[8] 
M. D. Intriligator, Mathematical Optimization and Economic Theory,, SIAM, (2002). doi: 10.1137/1.9780898719215. 
[9] 
M. Mahmud Khan, D. Ali, Z. Ferdousy and A. AliMamun, A costminimization approach to planning the geographical distribution of health facilites,, Oxford Journals, 16 (2001), 264. 
[10] 
O. L. Mangasarian, PseudoConvex Functions,, Journal of the Society for Industrial and Applied Mathematics Series A, 3 (1965), 281. 
[11] 
S. K. Mishra, K. K. Lai and S. Wong, Generalized Convexity and Vector Optimization,, Springer, (2009). 
[12] 
D. Newby and S. Hill, Use of pharmacoeconomics in prescribing research. Part 2: Cost minimization analysiswhen are two therapies equal?, Journal of Clinical Pharmacy and Therapeutics, 28 (2003), 145. 
[13] 
C. Rose and R. Yates, Minimizing the average cost of paging under delay constraints,, Wireless Networks, 1 (1995), 211. 
[14] 
A. Takayama, Analytical Methods in Economics,, Harvester Wheatsheaf, (1994). 
show all references
References:
[1] 
A. Adriana and L. Tony, Cost minimization under variable input prices: A theoretical approach,, Romanian Journal for Economic Forecasting, 1 (2013), 70. 
[2] 
L. Basskin, Using costminimization analysis to select from equally effective alternatives,, Formulary, 33 (1998), 1209. 
[3] 
A. H. Briggs and B. J. O'Brien, The death of costminimization analysis?, Health Economics, 10 (2001), 179. 
[4] 
Donald W. Katzner, Walrasian Microeconomics: An Introduction to the Economic Theory of Market Behavior,, AddisonPublisher, (1988). 
[5] 
R. Enkhbat, Quasiconvex Programming,, Lambert Publisher, (2009). 
[6] 
R. Enkhbat, Y. Bazarsad and J. Enkhbayar, A method for fractional programming,, International Journal of Pure and Applied Mathematics, 73 (2011), 93. 
[7] 
J. Henderson and R. Quandt, Microeconomic Theory: A Mathematical Approach,, McGrawHill Book Company, (1980). 
[8] 
M. D. Intriligator, Mathematical Optimization and Economic Theory,, SIAM, (2002). doi: 10.1137/1.9780898719215. 
[9] 
M. Mahmud Khan, D. Ali, Z. Ferdousy and A. AliMamun, A costminimization approach to planning the geographical distribution of health facilites,, Oxford Journals, 16 (2001), 264. 
[10] 
O. L. Mangasarian, PseudoConvex Functions,, Journal of the Society for Industrial and Applied Mathematics Series A, 3 (1965), 281. 
[11] 
S. K. Mishra, K. K. Lai and S. Wong, Generalized Convexity and Vector Optimization,, Springer, (2009). 
[12] 
D. Newby and S. Hill, Use of pharmacoeconomics in prescribing research. Part 2: Cost minimization analysiswhen are two therapies equal?, Journal of Clinical Pharmacy and Therapeutics, 28 (2003), 145. 
[13] 
C. Rose and R. Yates, Minimizing the average cost of paging under delay constraints,, Wireless Networks, 1 (1995), 211. 
[14] 
A. Takayama, Analytical Methods in Economics,, Harvester Wheatsheaf, (1994). 
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