Skip to main content
SpringerLink
Log in
Book cover

Toward Interactive and Intelligent Decision Support Systems pp 95–104Cite as

Analytical Survey of Procedures for Solving Multicriteria Mathematical Programming Problems (MMPP)

  • Conference paper

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 285))

Abstract

Interactive procedures (IP) structure is described in the paper. A decision maker’s (DM) capabilities to carry out some information processing operations are discussed. A list of decisions maker’s elementary operations used in different interactive procedures is given and their categorization from psychological point of view is suggested. Evaluation of IP’s correctness is considered.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Larichev, O.I-, Polyakov, O.A., Man- computer procedures of multiple objective mathematical programming problem solving. Economika i matematicheskije metody, v. 16, 1980.

    Google Scholar 

  2. Monarchi, D.E., Weber J.E., Duckstein, L., An Interactive Multiple Objective Decision Making Aid Using Nonlinear Goal Programming, in: Zeleny, M., (ed), Multiple Criteria Decision Making: Kyoto 1975, Springer-Verlag, Berlin, v. 123, pp. 235–253, 1976

    Chapter  Google Scholar 

  3. Zeleny, M., The Theory of Displaced Ideal, in: Thiriez, H., Zionts, S., (eds), Multiple Criteria Decision Making: Jouy-en-Josas, France, Springer-Verlag, Berlin, v. 130, pp. 153–206, 1976

    Google Scholar 

  4. Aubin, J.P., Naslund, B., An Exterior Branching Algorithm, WP-72–42, Eur. Inst. for Advanced Studies in Manag., Brussel, 1972

    Google Scholar 

  5. Grauer, M., A dynamic interactive decision analysis and support system (DIDASS), WP- 83–60, IIASA, 1983.

    Google Scholar 

  6. Simon, H.A., Administrative Behaviour. N.Y. 1960

    Google Scholar 

  7. Kahneman, D., Slovic, P., Tversky, A., (eds.) Judgement under Uncertainty: Heuristics and Biases, Cambridge University, 1982

    Google Scholar 

  8. Ларичев О.И., Бойченко B.C., Мошкович E.M., Шепталова Л.П., Проблемы выявления предпочтений лиц, принимающих решения при бинарной оценке альтернатив и двоичных оценках на шкалах критериев.- B кн.: Многокритериальный выбор в слабоструктуризованных проблемах, М., BНИИСИ, BЫП. 5, 1978

    Google Scholar 

  9. Ларичев О.И. Принятие решений как научное направление.- B кн.: Системные исследования. М.: Наука, 1982

    Google Scholar 

  10. Larichev, O.I., Nikiforov, A.D., Analytical survey of procedures for solving multiple objective mathematical programming problem. Economika i matematicheskije metody, 1986, num. 3.

    Google Scholar 

  11. Поляков O.A. Утилитарный подход к оптимизации планированияпроизводства на предприятии, Приборы и системы управления, 47, 1978

    Google Scholar 

  12. Ларичев О.И., Зуев Ю.А., Гнеденко Л.С. Метод ЗАПРОССЗамкнутые Процедуры у Опорных Ситуаций) решения слабоструктуризованных проблем выбора при многих критериях. Препринт BНИИСИ, М., 1979.

    Google Scholar 

  13. Slovic, P., Lichtenstein, S., Comparison of Bayessian and Regression Approaches to the Study of Information Processing in Judgement, Organizational Behavior and Human Performance, vol. 6, 1971t

    Google Scholar 

  14. Slovic, P. Fischhoff, B., Lichtenstein, S., Behavioural Decision Theory, Annual Review of Psychology, vol. 28, pp. 1–39, 1977

    Article  Google Scholar 

  15. Savir, D., Multiobjective Linear Programming, ORC-66–21, Operations Research Center, University of California, Los-Angelos, 1966

    Google Scholar 

  16. Stewart, T.R., Ely, D.W. Range Sensitivity: a Necessary Condition and a Test for the Validity of Weights. Paper prepared for Multiple Criteria Decision Making Conference, Cliveland, 1984.

    Google Scholar 

  17. Nikiforov, A.D., Rebrik, S.B., Sheptalova, L.P., Experimental investigation of stability preference in some problem of decision making, in: VNIISI, Transactions, M., VNIISI, 1984.

    Google Scholar 

  18. Bентцель E.C. Bведение в исследование операций. М.: Физматгиз, 1964.

    Google Scholar 

  19. MacCrimmon, K.R., An Overview of Multiple Objective Decision Making, in: Cohrane, J.L., Zeleny, M., (eds), Multiple Criteria Decision Making, University of Sauth Carolina Press, Columbia, S.C., pp. 18–46, 1973

    Google Scholar 

  20. Tversky, A., Elimination by Aspects: a Theory of Choise, Psych. Rev., vol 79, 4, pp. 281–299, 1972

    Article  Google Scholar 

  21. Tversky, A., Intransitivity of Preferances, Psych. Rev., vol. 76, 1, pp. 31–48, 1969

    Article  Google Scholar 

  22. Ларичев О.И. Анализ процессов принятия человеком решений при алтернативах, имеющих оценки по многим критериям (обзор), Автоматика и телемеханика, No 8, 1981.

    Google Scholar 

  23. Миллер Дж., Галантер Е., Прибрам К., Планы и структуры поведения. М., Прогресс, 1965

    Google Scholar 

  24. Marschak, J., Decision Making: Economic Aspects. Int. Enciclopedia of the Social Sciences. No 4, 1968

    Google Scholar 

  25. Russo, J.E., Rosen L.D., An Eye Fixation Analysis of Multialternative Choise. — Memory and Cognition, vol. 3, 3, pp. 267–276, 1975

    Article  Google Scholar 

  26. Бенайюн Р., Ларичев О.И., Монгольфье Ж., Tерни Ж., Линейное прог-рамирование при многих критериях: метод ограничений, Автоматика и телемеханика , No 8, стр. 45–47, 1971

    Google Scholar 

  27. Benayoun, R., Montgolfier J., Tergny J., Larichev, O., Linear Programming with Multiple Objective Functions: STEP Method CSTEM), Mathematical Programming, vol. 1, 3, pp. 366–375, 1971

    Article  Google Scholar 

  28. Nijkamp, P., Spronk, J., Interactive Multiple Goal Programming: An Evaluation and Some Results, in: Fandel, G., Gal, T., (eds), Multiple Criteria Decision Making: Theory and Application, Springer-Verlag, Berlin, v. 177, pp. 278–293, 1980

    Google Scholar 

  29. Spronk, J., Interactive Multiple Goal Programming for Capital Budgeting, Dissertation, Erasmus University, Rotterdam, 1980

    Google Scholar 

  30. Belenson, S.M., Kapur, K.C., An Algorithm for Solving Multicriterion Linear Programming Problems with Example, Operational Research Quarterly, vol. 24, 1, pp. 65–77, 1973

    Article  Google Scholar 

  31. Michalowski, W., Zolkiewski, Z., Interactive Approach to Solving of a Linear Production Planning Problem with Multiple Objectives, 5th Int. Conf. Multiple Criteria Decision Making, Brussels, Belgium, 1982

    Google Scholar 

  32. Benson, R.G., Interactive Multiple Criteria Optimization Using Satisfactory Goals, Dissertation, University of Iowa, 1975

    Google Scholar 

  33. Fandel, G., Public Investment Decision Making with Multiple Criteria; An Example of University Planning, in: Zionts, S., (eds), Multiple Criteria Problem Solving: Proceedings, Buffalo, N.Y.(U.S.A.), Springer-Verlag, Berlin, v. 155, pp. 116–130, 1977

    Google Scholar 

  34. Geoffrion, A.M. Dyer, J.S., Feinberg A., An Interactive Approach for Multi-Criterion Optimization with an Application to the Operation of an Academic Department, Management Science, vol. 19, 4, pp. 357–368, 1972

    Article  Google Scholar 

  35. Benayoun, R., Tergny J., Kahneman D., Mathematical Programming with multi-objective function: A solution by P.O.P(Prograssive Orientation Procedure), METRA, vol 9, 2, pp. 279–299, 1970

    Google Scholar 

  36. Zionts, S., Wallenius, J., An Interactive Programming Method for Solving Multiple Criteria Problem, Management Science, vol. 22, 6, pp. 652–663, 1976

    Article  Google Scholar 

  37. Reeves, G.R., Franz, L.S., A Simplified interactive multiple objective linear programming procedure, 5th Int. Conf. Multiple Criteria Decision Making, Brussels, Belgium, 1982

    Google Scholar 

  38. Ho, J.K., Holistic Preference Evaluation in Multiple Criteria Optimization, Brookhaven National Laboratory, AMD 25656, N.Y., 1979

    Google Scholar 

  39. Ho, J.K., An experiment in Multiple Criteria Energy Policy Analysis, Brookhaven National Laboratory, AMD 858, N.Y., 1980

    Google Scholar 

  40. Steuer, R.E., An Interactive Multiple Objective Linear Programming Procedure, in: Starr, M.K., Zeleny, M., (eds), Multiple Criteria Decision Making, North-Holland, Amsterdam, pp. 225–239, 1977

    Google Scholar 

  41. Musselman, K., Talavage, J., A Tradeoff Cut Approach to Multiple Objective Optmization, Operations Research, vol. 26, 6, pp. 1424–1435, 1980

    Article  Google Scholar 

  42. Chankong, V., Haimes, Y.Y., Interactive SWT Method for Multiob-jective Decision — Making, in: Zionts, S. , (ed), Multiple Criteria Problem Solving: Proceedings, Buffalo, N.Y.(U.S.A.), Springer-Verlag, Berlin, v. 155, pp. 42–67, 1977

    Google Scholar 

  43. Wierzbicki, A.P. The Use of Reference Objectives in Multiobjective Optimization, in: Fandel, G., Gal, T., (eds), Multiple Criteria Decision Making: Theory and Application, Springer-Verlag, Berlin, v. 177, pp. 468–486, 1980

    Google Scholar 

  44. Monarchi, D.E., Kisiel C.C., Duckstein, L., Interactive Multiob-jective Programming in Water Resourses: A Case Stady, Water Resources Research, vol. 9, 4, pp. 837–850, 1973

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. All- Union Research Institute for System Studies, USSR

    O. I. Larichev & A. D. Nikiforov

Authors
  1. O. I. Larichev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. D. Nikiforov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Japan Institute of Systems Research, Nippon-Italy Kyoto Kaikan, 4 Ushinomiya-cho, Yoshida, Sakyo, Kyoto 606, Japan

    Yoshikazu Sawaragi

  2. Department of Aeronautical Engineering, Kyoto University, Yoshida-honmachi, Sakyo, Kyoto 606, Japan

    Koichi Inoue

  3. Department of Applied Mathematics, Konan University, 8-9-1 Okamoto, Higashinada, Kobe 658, Japan

    Hirotaka Nakayama

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Larichev, O.I., Nikiforov, A.D. (1987). Analytical Survey of Procedures for Solving Multicriteria Mathematical Programming Problems (MMPP). In: Sawaragi, Y., Inoue, K., Nakayama, H. (eds) Toward Interactive and Intelligent Decision Support Systems. Lecture Notes in Economics and Mathematical Systems, vol 285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46607-6_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46607-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17718-0

  • Online ISBN: 978-3-642-46607-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation