The Parameter Space Investigation Method Toolkit

Roman Statnikov and Alexander Statnikov
Boston/London: Artech House, 2011.

One of the eternal questions is where and how should we search for the best solutions, especially if there are a set of contradictory criteria? This question has proven to be very important in all areas of human activity. When using various methods of optimization in order to solve real-life problems, it is usually assumed that the problems are defined correctly. However, very often this assumption is not true. That is why the obtained solutions may not possess any applicable value. In other words, methods of optimizations are running idle. This happens because experts look for optimal solutions often without realizing that these solutions may not be feasible. In order to search for the best solutions, we first need to define the feasible solution set. This task generally presents serious, at times insurmountable challenges. This fundamental problem has finally been solved with the invention of the parameter space investigation (PSI) method and its successful applications in different areas of science, technology, industry, and education. The book summarizes years of experience in formulating and solving real-life problems in various spheres of the human activity using PSI method and MOVI software. The book shows how to apply the PSI method to construct a feasible solution using the necessary number of parameters and criteria. This also book presents visualization tools that are used to construct the feasible solution set, conduct multicriteria analysis, and correct the initial problem statement.

Contents:

  • Preface: Real-Life Optimization Problems and Parameter Space Investigation Method
  • Part I. The Parameter Space Investigatation Method Toolkit
    • Chapter 1. Introduction
    • Chapter 2. Parameter Space Investigatation Method as a Tool for Formulation and Solution of Real-Life Problems
    • Chapter 3. Using the PSI Method and MOVI Software System for Multicriteria Analysis and Visualization
    • Chapter 4. Improving Optimal Solutions
  • Part II. Applicationt to Real-Life Problems
  • Chapter 5. Multicriteria Design
  • Chapter 6. Multicriteria Identidfication
  • Chapter 7. Other Multicriteria Problems and Related Issues
  • Chapter 8. Adopting PSI Method for Database Search
  • Chapter 9. Multicriteria Analysis of L1 Adaptive Flight Control System
  • General Conclusion
  • Appendix. Examples of Calculation of the Approximate Compromise Curves

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About authors

Roman Statnikov is a senior researcher and instructor in the Information Sciences Department at the Naval Postgraduate School in Monterey, California and is also a professor and principal research scientist in the Optimal Design Theory and Methods Laboratory at the Mechanical Engineering Research Institute, Russian Academy of Sciences. He holds a Dr. Tech. Sci. degree in the theory of machines and mechanisms from the Mechanical Engineering Institute, Russian Academy of Sciences. He received a Ph.D. on the same subject from Moscow State University of Railways.
Alexander Statnikov is an assistant professor at the Center for Health Informatics and Bioinformatics, New York University Langone Medical Center. He holds a Ph.D. in biomedical informatics from Vanderbilt University, Nashville, Tennessee.

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