Article Outline
Keywords
Single-Period Models
Multiperiod Models
Parameters
Decision Variables
Model SP
Scenario Generation
Solution Techniques
Direct Solvers
Decomposition Algorithms
Conclusions and Future Directions
See also
References
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Berger AJ, Mitchell JE, Mulvey JM, Rush R (1997) A tabu search procedure for target-matching in financial scenario generation. Techn. Report Dept. Civil Engin. Oper. Res. Princeton Univ. SOR-97-16
Berger AJ, Mulvey JM, Rothberg E, Vanderbei R (1996) Solving multi-stage stochastic programs using tree dissection. Techn. Report Dept. Civil Engin. Oper. Res. Princeton Univ. SOR-95-07
Berger AJ, Mulvey JM, Ruszczyński A (1994) An extension of the DQA algorithm to convex stochastic programs. SIAM J Optim 4:735–753
Birge JR (1997) Stochastic programming computation and applications. INFORMS J Comput 9:111–133
Brennan MJ, Schwartz ES (1982) An equilibrium model of bond pricing and a test of market efficiency. J Financial and Quantitative Anal 17:75–100
Cariño DR, Kent T, Myers DH, Stacy C, Sylvanus M, Turner A, Watanabe K, Ziemba WT (1994) The Russell–Yasuda Kasai model: An asset liability model for a Japanese insurance company using multi-stage stochastic programming. Interfaces 24:29–49
Carpenter TJ, Lustig IJ, Mulvey JM, Shanno DF (1993) Separable quadratic programming via a primal-dual interior point method and its use in a sequential procedure. ORSA J Comput 5:182–191
Dupacova J (1987) Stochastic programming with incomplete information: A survey of results on postoptimization and sensitivity analysis. Optim 18:507–532
Dupacova J (1996) Scenario based stochastic programs: Resistance with respect to sample. Ann Oper Res 64:21–38
Elton EJ, Gruber MJ (1995) Modern portfolio theory and investment analysis, 5th edn. Wiley, New York
Gassmann HI (1990) A computer code for the multi-stage stochastic linear programming problem. Math Program 47:407–423
Golub B, Holmer M, McKendall R, Pohlman L, Zenios SA (1995) A stochastic programming model for money management. Europ J Oper Res 85:282–296
Jarrow R, Maksimovic V, Ziemba W (1995) Asset and liability allocation in a global environment. In: Mulvey JM, Ziemba WT (eds) Handbook Oper. Res. and Management Sci.: Finance. Elsevier, Amsterdam
Jessup ER, Yang D, Zenios SA (1994) Parallel factorization of structured matrices arising in stochastic programming. SIAM J Optim 4:833–846
Keeney R, Raiffa H (1993) Decisions with multiple objectives: Preferences and value Tradeoffs. Cambridge Univ. Press, Cambridge. First printed by Wiley, 1976
Konno H, Luenberger DG, Mulvey JM (eds) (1993) Ann. Oper. Res. Baltzer, Basel
Kroll Y, Levy H, Markowitz H (1984) Mean variance versus direct utility Maximization. J Finance 39:47–62
Lustig IJ, Marsten RE, Shanno DF (1994) Interior point methods for linear programming: Computational state of the art. ORSA J Comput 6:1–14
Lustig IJ, Mulvey JM, Carpenter TJ (1991) Formulating stochastic programs for interior point methods. Oper Res 39:757–770
Markowitz HM (1991) Portfolio selection: Efficient diversification of investments, 2nd edn. Blackwell, Oxford
Mulvey JM (1989) A surplus optimization perspective. Investment Management Rev 3:31–39
Mulvey JM (1995) Generating scenarios for the Towers Perrin investment systems. Interfaces 26:1–15
Mulvey JM, Rosenbaum DP, Shetty B (1997) Strategic financial risk management and operations research. Europ J Oper Res 97:1–16
Mulvey JM, Rosenbaum DP, Shetty B (1999) Stochastic scenario generation systems. Europ J Oper Res 118:563–577
Mulvey JM, Ruszczyński A (1995) A new scenario decomposition method for large-scale stochastic optimization. Oper Res 43:477–490
Mulvey JM, Vladimirou H (1989) Stochastic network optimization models for investment planning. Ann Oper Res 20:187–217
Mulvey JM, Vladimirou H (1992) Stochastic network programming for financial planning problems. Managem Sci 38:1642–1664
Murtagh BA, Saunders MA (1987) MINOS 5.1 user's guide. SOL Techn. Report Systems Optim. Lib. Stanford Univ. 83-20R
Nielsen S, Zenios SA (1993) A massively parallel algorithm for nonlinear stochastic network problems. Oper Res 41:319–337
Perold AF (1984) Large-scale portfolio optimization. Managem Sci 30:1143–1160
Rothberg E (1993) Performance of panel and block approaches to sparse Cholesky factorization on the iPSC/860 and Paragon multicomputers. Techn. Report Intel Supercomputer Systems Div., Beaverton, OR
Speranza MG (1993) Linear programming models for portfolio optimization. J Finance 14:107–123
Van Slyke R, Wets RJ-B (1969) L-shaped linear programs with applications to optimal control and stochastic programming. SIAM J Appl Math 17:638–663
Vanderbei RJ, Carpenter TJ (1993) Symmetric indefinite systems for interior-point methods. Math Program 58:1–32
Worzel K, Vassiadou-Zeniou C, Zenios SA (1995) Integrated simulation and optimization models for tracking fixed-income indices. Oper Res 42:223–233
Zenios SA (ed) (1993) Financial optimization. Cambridge Univ. Press, Cambridge
Zenios SA, Ziemba WT (1992) Theme issue on financial modeling. Managem Sci 38:1525–1528
Ziemba WT, Mulvey JM (eds) (1998) Worldwide asset and liability modeling. Cambridge Univ. Press, Cambridge
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Mulvey, J.M., Shetty, B. (2008). Financial Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_182
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DOI: https://doi.org/10.1007/978-0-387-74759-0_182
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