Preview

Simulation Optimization

Powerful Essays
Open Document
Open Document
6084 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Simulation Optimization
SIMULATION OPTIMIZATION:
APPLICATIONS IN RISK MANAGEMENT[1]

MARCO BETTER AND FRED GLOVER

OptTek Systems, Inc., 2241 17th Street,
Boulder, Colorado 80302, USA
{better, glover}@opttek.com

GARY KOCHENBERGER

University of Colorado Denver
1250 14th Street, Suite 215
Denver, Colorado 80202, USA
Gary.kochenberger@cudenver.edu

HAIBO WANG

Texas A&M International University
Laredo, TX 78041, USA hwang@tamiu.edu Simulation Optimization is providing solutions to important practical problems previously beyond reach. This paper explores how new approaches are significantly expanding the power of Simulation Optimization for managing risk. Recent advances in Simulation Optimization technology are leading to new opportunities to solve problems more effectively. Specifically, in applications involving risk and uncertainty, Simulation Optimization surpasses the capabilities of other optimization methods, not only in the quality of solutions, but also in their interpretability and practicality. In this paper, we demonstrate the advantages of using a Simulation Optimization approach to tackle risky decisions, by showcasing the methodology on two popular applications from the areas of finance and business process design.

Keywords: optimization, simulation, portfolio selection, risk management.

1. Introduction

Whenever uncertainty exists, there is risk. Uncertainty is present when there is a possibility that the outcome of a particular event will deviate from what is expected. In some cases, we can use past experience and other information to try to estimate the probability of occurrence of different events. This allows us to estimate a probability distribution for all possible events. Risk can be defined as the probability of occurrence of an event that would have a negative effect on a goal. On the other hand, the probability of occurrence of an event that would have a positive impact is



References: 1. D. Vose, Risk Analysis: A Quantitative Guide, (John Wiley and Sons, Chichester, 2000). 2. M. Fukushima, How to deal with uncertainty in optimization – some recent attempts, International Journal of Information Technology & Decision Making, 5.4 (2006), 623 – 637. 3. H. Eskandari and L. Rabelo, Handling uncertainty in the analytic hierarchy process: a stochastic approach, International Journal of Information Technology & Decision Making, 6.1 (2007), 177 – 189. 4. R. Dembo, Scenario Optimization, Annals of Operations Research 30 (1991), 63 – 80. 5. P. Kouvelis and G. Yu, Robust Discrete Optimization and Its Applications,(Kluwer: Dordrecht, Netherlands, 1997), 8 – 29. 6. J. P. Kelly, Simulation Optimization is Evolving, INFORMS Journal of Computing 14.3 (2002), 223 – 225. 7. F. Glover and M. Laguna, Tabu Search, ( Kluwer: Norwell, MA, 1997). 8. F. Glover, M. Laguna and R. Martí, Fundamentals of scatter search and path relinking, Control and Cybernetics 29.3 (2000), 653 – 684. 9. W. J. Haskett, Optimal appraisal well location through efficient uncertainty reduction and value of information techniques, in Proceedings of the Society of Petroleum Engineers Annual Technical Conference and Exhibition, (Denver, CO, 2003). 10. W. J. Haskett, M. Better and J. April, Practical optimization: dealing with the realities of decision management, in Proceedings of the Society of Petroleum Engineers Annual Technical Conference and Exhibition, (Houston, TX, 2004). 11. H. Markowitz, Portfolio selection, Journal of Finance 7.1 (1952), 77 – 91. 12. J. April, F. Glover and J. P. Kelly, Portfolio Optimization for Capital Investment Projects, in Proceedings of the 2002 Winter Simulation Conference, (eds.) S. Chick, T. Sanchez, D. Ferrin and D. Morrice, (2002), 1546 – 1554. 13. J. April, F. Glover and J. P. Kelly, Optfolio - A Simulation Optimization System for Project Portfolio Planning, in Proceedings of the 2003 Winter Simulation Conference, (eds.) S. Chick, T. Sanchez, D. Ferrin and D. Morrice, (2003), 301 – 309. 14. S. Benninga, and Z. Wiener, Value-at-Risk (VaR), Mathematica in Education and Research 7.4 (1998), 1 – 7. ----------------------- [1] Published in the International Journal of Information Technology & Decision Making, Vol 7, No 4 (2008) 571-587.

You May Also Find These Documents Helpful

  • Powerful Essays

    The Syllabus on Info 3010

    • 2401 Words
    • 10 Pages

    This course introduces students to the use of the computer as a business modeling tool. The overarching goal is to teach students to use computers to analyze models and data for integrated decision making across multiple domains including finance, marketing, accounting, strategy, and operations. The course proceeds in several parts: 1) Data Modeling - building on INFO 1010 and MATH 1140, the course will review data modeling in Excel; 2) Deterministic Modeling - the course will cover decision-making under uncertainty using optimization models such as linear programming. Problems such as portfolio optimization, transportation, assignment, set-covering, and scheduling are covered and the concepts of problem formulation and sensitivity analysis are introduced; 3) Spreadsheet Automation - concepts for programming in Excel will be introduced; and 4) Probabilistic Modeling decision making in an environment of uncertainty is covered using simulation and the principles of decision analysis. Students will also learn to choose the appropriate probability distribution for a given problem.…

    • 2401 Words
    • 10 Pages
    Powerful Essays
  • Good Essays

    * Risk reflects how uncertain outcomes cause loss or injury to a particular individual or group…

    • 1485 Words
    • 6 Pages
    Good Essays
  • Good Essays

    Simulation models becomes a trend topic for describing the real system. Model is the simplification of the real world. (Pidd, 2003) states the model is representation of the part of reality which the people wish to understand, change, manage, and control it. Simulation is used to know the behavior of the real system. (Forrester, 1961) states the simulation consists of tracing through the flows of orders, goods, and information actually then observing the sequences of new decisions. Adams et al. (1999), process simulation can be used to support several key steps in the continuous improvement process. To be most effective, simulation models should be developed that apply continuous improvement concepts.…

    • 327 Words
    • 2 Pages
    Good Essays
  • Satisfactory Essays

    Brs Mdm3 Tif Ch08

    • 3288 Words
    • 19 Pages

    2) Determining the worst payoff for each alternative and choosing the alternative with the "best of the worst" is the approach called:…

    • 3288 Words
    • 19 Pages
    Satisfactory Essays
  • Best Essays

    Mat 540

    • 6375 Words
    • 26 Pages

    COURSE DESCRIPTION Applies quantitative methods to systems management (Decision Theory), and/or methods of decision-making with respect to sampling, organizing, and analyzing empirical data. MAT540 Student Version 1122 (11-29-2011) Final Page 1 of 19…

    • 6375 Words
    • 26 Pages
    Best Essays
  • Powerful Essays

    Opre 6371 Case 5-2

    • 1581 Words
    • 7 Pages

    * Goals of decision making: Reducing the total costs while maintaining and minimizing the risks from any changes made…

    • 1581 Words
    • 7 Pages
    Powerful Essays
  • Powerful Essays

    Red Brand Canners

    • 2093 Words
    • 9 Pages

    It is evident that the more the information available to the decision maker, the better prepared he or she is, to make decisions. Very often decision makers are mislead by their intuition (as in the case of Mr.Myers and Mr.Cooper). Hence whenever possible, a quantitative model should be constructed to solve resource allocation problems, minimizing costly errors from decisions made solely by intuitive reasoning.…

    • 2093 Words
    • 9 Pages
    Powerful Essays
  • Good Essays

    Task List: MGMT600-1204B-03 : Applied Managerial Decision-Making. (2012). Retrieved December 16, 2012, from Colorado Technical University Online: https://campus.ctuonline.edu/pages/MainFrame.aspx?ContentFrame=/Default.aspx…

    • 839 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    finding the best decision to optimize a linear objective subject to multiple linear constarints is referred to as…

    • 1510 Words
    • 7 Pages
    Powerful Essays
  • Good Essays

    References: Harris, Robert (2003). Decision Making Techniques. Retrieved April 28, 2006, from Virtual Salt Web site: http://www.virtualsalt.com/crebook6.htm…

    • 710 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Simulation Assignment

    • 866 Words
    • 4 Pages

    In phase 2, I chose to set up a CCU and to deliver the new obstetrics care service, option C. I chose the CCU…

    • 866 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    References: Andrade, D. F., P. A. Barbetta, P. J. de Freitas Filho, N. A. de Mello Zunino and C. M. C. Jacinto. 2006. Using Copulas in risk analysis. In Proceedings of the 2006 Winter Simulation Conference, ed. L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. M. Fujimoto, 727–732. Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, Inc. Baker, R. W. 1986. Handling uncertainty. International Journal of Project Management 4(4):205-210. Available via [accessed July 15, 2009]. Benayoun, R., J. de Montgolfier, J. Tergny, and O. Laritchev. 1971. Linear Programming with Multiple Objective Functions: Step Method (STEM). Mathematical Programming 1:366-375. Clark, P., and C. B. Chapman. 1987. The development of computer software for risk analysis: A decision support system destudy. European Journal of Operational Research 29:252-261. Available via velopment [accessed July 15, 2009]. Chinbat, U. 2009. Project risk management in the Mongolian mining industry. Proceedings of the Asia Pacific Conference on Information Management 2009, steering committee S. Takakuwa, T. Negoro, Z. Weiying, Ch. Guoqing and Ch. Yu. 348-364. Beijing: Peking University. Chinbat, U., and S. Takakuwa. 2008. Using operation process simulation for a Six Sigma project of mining and iron production factory. In Proceedings of the 2008 Winter Simulation Conference, ed. S. J. Mason, R. Hill, L. Moench, O. Rose, T. Jefferson, and J. W. Fowler. 2431–2438. Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, Inc. Coelho, D. K., and C. M. C. Jacinto. 2005. Risk assessment of drilling and completion operations in petroleum wells using a Monte Carlo and a neural network approach.…

    • 5615 Words
    • 23 Pages
    Powerful Essays
  • Powerful Essays

    History of Simulation

    • 1531 Words
    • 7 Pages

    Some problems of digital systems simulation. Management Science 6 (1): 92–110.Conway, R. W. 1963. Some tactical problems in digital simulation. Management Science 10 (1): 47–61.Cooper, N. C., ed. 1988. From cardinals to chaos: Reflections on the life and legacy of Stanislaw Ulam. Cambridge: Cambridge University Press.…

    • 1531 Words
    • 7 Pages
    Powerful Essays
  • Powerful Essays

    waiting line

    • 4923 Words
    • 20 Pages

    Bibliography: Bhatti, S. A., Bhatti, N. A. (1998), Operations Research – an Introduction, Department of Computer Science, Oxford University Press, pp. 315–356…

    • 4923 Words
    • 20 Pages
    Powerful Essays
  • Powerful Essays

    What Is Finance?

    • 1925 Words
    • 8 Pages

    The alternative objective can be maximisation of EPS. But the concept of EPS has the following limitations:…

    • 1925 Words
    • 8 Pages
    Powerful Essays