Linear and nonlinear programming with maple™: An interactive, applications-based approach

Linear and Nonlinear Programming with Maple: An Interactive, Applications-Based Approach

Volumn , Issue , 2009, Pages 1-387

  Fishback, Paul E ^a  

^a GRAND VALLEY STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85055534966     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (47)

1. Apte, A., Apte, U., Beatty, R., Sarkar, I., and Semple, J., The Impact of Check Sequencing on NSF (Not-Sufficient Funds) Fees, Interfaces, 34 (2004), 97-105.
2. Avriel, M., Nonlinear Programming, Dover Publications, Mineola, NY, 2003.
3. Bartlett, A., Chartier, T., Langville, A., and Rankin, T., An Integer Programming Model for the Sudoku Problem, The Journal of Online Mathematics and its Applications, 9 (2008).
4. Bazaraa, M., Sherali, H., and Shetty, C., Nonlinear Programming: Theory and Applications, John Wiley and Sons, Hoboken, 2006.
5. Belovsky, G., Herbivore Optimal Foraging: A Comparative Test of Three Models, The American Naturalist, 124 (1984), 97-115.
6. Bernstein, D., Matrix Mathematics, Princeton University Press, Princeton, 2005.
7. Bevington, P., and Robinson, D., Data Analysis and Error Analysis for the Physical Sciences, McGraw-Hill, New York, 2002.
8. Blandford, D., Boisvert, R., and Charles, C., Import Substitution for Livestock Feed in the Caribbean Community, American Journal of Agricultural Economics, 64, (1982), 70-79.
9. Bouskila, A., A Habitat Selection Game of Interactions Between Rodents and Their Predators, Annales Zoologici Fennici, 38 (2001), 55-70.
10. Dantzig, G., and Thapa, M., Linear Programming 2: Theory and Extensions, Springer, New York, 2003.
11. DeWitt, C., Lasdon, L., Waren, A., Brenner, D., and Melhem., S., OMEGA: An Improved Gasoline Blending System for Texaco, Interfaces, 19 (1989), 85-101.
12. Duncan, I.B., and Noble, B.M., The Allocation of Specialties to Hospitals in a Health District, The Journal of the Operational Research Society, 30 (1979), 953-964.
13. Floudas, C.A., Pardalos, P.M., (Eds.) Recent Advances in Global Optimization, Princeton University Press, Princeton, 1992.
14. Heller, I., and Tompkins, C.B., An Extension of a Theorem of Dantzig’s, in, Linear Inequalities and Related Systems, Kuhn, H.W. and Tucker, A.W. (Eds.) Princeton University Press, Princeton, 1956, 247-254.
15. Horn, R., and Johnson, C., Matrix Analysis, Cambridge University Press, Cambridge, 1985.
16. Horst, R., and Tuy, H., Global Optimization-Deterministic Approaches, Third Edition, Springer, Berlin, 1996.
17. Jarvis, J., Rardin, R., Unger, V., Moore, R., Schimpler, C., Optimal Design of Regional Wastewater Systems: A Fixed-Charge Network Flow Model, Operations Research, 26 (1978), 538-550.
18. Karmarkar, N., A New Polynomial-Time Algorithm for Linear Programming, Combinatorica, 4 (1984), 373-395.
19. Klee, V., and Minty, G.J., How Good is the Simplex Method?, in Inequalities III, Shisha, O., (Ed.), Academic Press, New York, 1972, 159-175.
20. Ladany, S., Optimization of Pentathlon Training Plans, Management Science, 21 (1975), 1144-1155.
21. Lay, D., Linear Algebra, Third Edition, Addison-Wesley, New York, 2006.
22. Letavec, C., and Ruggiero, J., The n-Queens Problem, INFORMS Transactions on Education, 2 (2002), 101-103.
23. Levenberg, K., A Method for Solution of Certain Non-linear Problems in Least-squares, Quarterly of Applied Mathematics, 2 (1944), 164-168.
24. Luenberger, D., Linear and Nonlinear Programming, Second Edition, Springer, New York, 2003.
25. Machol, R., An Application of the Assignment Problem, Operations Research, 18, 1970, 585-586.
26. Mangasarian, O., Street, W., and Wolberg, W., Breast Cancer Diagnonsis and Prognosis via Linear Programming, Mathematical Programming Technical Reports 94-10, Madison, WI, 1994.
27. Mangasarian, O., Equilibrium Points of Bimatrix Games, Journal of the Society for Industrial and Applied Mathematics, 12 (1963), 778-780.
28. Marquardt, D., An Algorithm for Least Squares Estimation of Parameters, Journal of the Society for Industrial and Applied Mathematics, 11 (1963), 431-441.
29. Marsden, J., and Tromba., A., Vector Calculus, Fifth Edition, W.H. Freeman and Company, New York, 2003.
30. Marshall, K., and Suurballe, J., A Note on Cycling in the Simplex Algorithm, Naval Research Logistics Quarterly, 16 (1969), 121-137.
31. Maynard, J., A Linear Programming Model for Scheduling Prison Guards, UMAP Module 272, The Consortium for Mathematics and its Applications, Birkhauser, Boston, 1980.
32. Moreb, A., and Bafail, A., A Linear Programming Model Combining Land Leveling and Transportation Problems, The Journal of the Operational Research Society, 45 (1994), 1418-1424.
33. Nash, J., Non-Cooperative Games, The Annals of Mathematics, 54 (1951), 286-295.
34. Neumaier, A., Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
35. Nocedal, J., and Wright, S., Numerical Optimization, Springer, New York, 2000.
36. Pendegraft, N., Lego of my Simplex, ORMS Today (online), 24 (1997).
37. Penrose, K., Nelson, A., and Fisher, G., Generalized Body Composition Prediction Equation for Men Using Simple Measurement Techniques, Medicine and Science in Sports and Exercise, 17 (1985), 189.
38. Pintér, J.D., Global Optimization in Action, Kluwer Academic Publishers, Dordrecht, 1996.
39. Pintér, J.D., Optima, Mathematical Programming Society Newsletter, 52 (1996).
40. Polak, E., Optimization: Algorithms and Consistent Approximations, Springer, New York, 1997.
41. Reed, H.S., and Holland, R.H., The Growth Rate of an Annual Plant Helianthus, Proceedings of the National Academy of Sciences, 5 (1919), 135-144.
42. Schuster, E., and Allen, S., Raw Material Management at Welch’s Inc., Interfaces, 28 (1998), 13-24.
43. Sharp, J., Snyder, J., and Green, H., A Decomposition Algorithm for Solving the Multifacility Production Problem with Nonlinear Production Costs, Econometrica, 38 (1970), 490-506.
44. Straffin, P., Applications of Calculus, The Mathematical Association of America, Washington D.C., 1996.
45. Von Neumann, J., and Morgenstern, O., Theory of Games and Economic Behavior, Third Edition, Princeton University Press, Princeton, 1980.
46. Yamashita, N., Fukushima, M., On the Rate of Convergence of the Levenberg-Marquardt Method, Computing, (Supplement), 15 (2001), 239-249.
47. Zoutendijk, G., Nonlinear Programming, Computational Methods, in Integer and Nonlinear Programming, Abadie, J., (Ed.), North Holland, Amsterdam, 1970.