Skip to main content
SpringerLink
Log in

Methods for Solving Management Problems Involving Multiple Objectives

  • Conference paper
Book cover Multiple Criteria Decision Making Theory and Application

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 177))

Abstract

This paper is an overview of methods for solving management problems involving more than one objective. A framework for classifying multiple criteria methods is developed, according to whether the problem has the constraints stated explicitly or not and whether the problem is stochastic or deterministic. The nature of the utility function assumed is also discussed, as is practical experience with the methods.

The author wishes to acknowledge the comments and suggestions of Ward Edwards, University of Southern California, Donald Keefer, Gulf Oil Corporation, and Bernard Roy, Université de Paris IX Dauphine.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arrow, K. J. (1951)(2nd Ed. 1963), Social Choice and Individual Values, John Wiley, and Sons, New York.

    Google Scholar 

  • Bell, D. E., Keeney, R. L., and Raiffa, H., (Eds.)(1977), Conflicting Objectives in Decisions, International Series on Applied Systems Analysis, John Wiley and Sons, 442 pp.

    Google Scholar 

  • Benayoun, R., Montgolfier, J. de, Tergny, J., and Larichev, O. (1971), “Linear Programming with Multiple Objective Functions: Step Method (STEM),” Mathematical Programming, 1, pp. 366–375.

    Article  Google Scholar 

  • Bertier, P., Gagey, D., Montgolfier, J. de, and Roy, B. (1972), “Choix de tracés autoroutiers en millieu suburbain: faut-il vraiment endommager des sites urbains et/ou forestiers? Lesquels?”, Communication aux Journées de Formation Transports et Agglomerations, Nice, October 4–5.

    Google Scholar 

  • Carroll, J. D. (1972), “Individual Differences and Multidimensional Scaling,” in R. N. Shepard et al (Eds.) (1972), Multidimensional Scaling: Theory and Applications in Behavioral Sciences, Seminar Press, New York, pp. 101–105.

    Google Scholar 

  • Charnes, A. and Cooper, W. W. (1961), Management Models and Industrial Applications of Linear Programming, John Wiley and Sons, New York.

    Google Scholar 

  • Charnes, A. and Cooper, W. W. (1977), “Goal Programming and Multiple Objective Optimization — Part 1,” European Journal of Operations Research, 1 pp. 39–54.

    Article  Google Scholar 

  • Cochrane, J. L., and Zeleny, M. (Eds.)(1973), Multiple Criteria Decision Making, University of South Carolina Press, 8l6 pp.

    Google Scholar 

  • deNeufville, R. and Keeney, R. L. (1972), “Use of Decision Analysis in Airport Development for Mexico City,” Drake, A. W., Keeney, R. L. and Morse, P. M. (Eds.), Analysis of Public Systems, MIT Press, Cambridge, Mass.

    Google Scholar 

  • I)yer, J. (1973), “A Time-Sharing Computer Program for the Solution of the Multiple Criteria Problem,” Management Science, Vol. 19, No. 12, pp. 1379–1383.

    Article  Google Scholar 

  • Edwards, W. (1954), “The Theory of Decision Making,” Psychological Bulletin 51, pp. 380–417.

    Article  Google Scholar 

  • Evans, J. P. and Steuer, R. E. (1973), “Generating Efficient Extreme Points in Linear Multiple Objective Programming: Two Algorithms and Computing Experience,” in Cochrane and Zeleny (1973), pp. 349–365.

    Google Scholar 

  • Farquhar, P. H. (1977), “A Survey of Multiattribute Utility Theory and Applications,” TIMS Studies in the Management Sciences, 6, pp. 59–89.

    Google Scholar 

  • Fishburn, P. C. (1970), Utility Theory for Decision Malting, John Wiley and Sons, New York.

    Google Scholar 

  • Geoffrion, A. M., Dyer, J. S. and Feinberg, A. (1972), “An Interactive Approach for Multicriterion Optimization with an Application to the Operation of an Academic Department,” Management Science, Vol. 19, No. 4, pp. 357–368.

    Article  Google Scholar 

  • Haimes, Y. Y., and Hall, W. A. (1974), “Multiobjectives in Water Resources Systems Analysis: The Surrogate Worth Trade Off Method,” Water Resources Research, 10, pp. 615–623.

    Article  Google Scholar 

  • Ijiri, Y. (1965), Management Goals and Accounting for Control, North Holland Publishing Co., Amsterdam and Rand McNally, Chicago.

    Google Scholar 

  • Keefer, D. L. (1978 a), “Allocation Planning for R&D with Uncertainty and Multiple Objectives,” TEEE, Transactions on Engineering Management, Vol. EM-25, pp. 8–14.

    Google Scholar 

  • Keefer, D. L. (1978 b), “Applying Multiobjective Decision Analysis to Resource Allocation Planning Problems,” pp. 299–320 in Zionts (1978).

    Google Scholar 

  • Keeney, R. L. (1974), “Multiplicative Utility Functions,” Operations Research, Vol. 22, pp. 22–34.

    Article  Google Scholar 

  • Keeney, R. L. and Raiffa, H. (1976), Decisions with Multiple Objectives: Preferences and Value Tradeoffs, John Wiley and Sons, New York.

    Google Scholar 

  • Khairullah, Z. and Zionts, S. (1980), “An Experiment with Some Algorithms for Multiple Criteria Decision Making,” This Volume.

    Google Scholar 

  • Korhonen, P., Wallenius, J., and Zionts, S. (1979), “Some Thoughts on Solving the Multiple Decision Maker/Multiple Criteria Decision Problem and an Approach,” Working Paper No. 4l4, School of Management, State University of New York at Buffalo.

    Google Scholar 

  • Korhonen, P., Wallenius, J., and Zionts, S. (1980), “A Bargaining Model for Solving the Multiple Criteria Problem,” This Volume.

    Google Scholar 

  • Lee, S. M. (1972), Goal Programming for Decision Analysis, Auerbach, Philadelphia.

    Google Scholar 

  • Manhejm, M. L. and Hall, F. (1967), “Abstract Representation of Goals: A Method for Making Decisions in Complex Problems,” in Transportation: A Service, Proceedings of the Sesquicentennial Forum, New York Academy of Sciences American Society of Mechanical Engineers, New York.

    Google Scholar 

  • Miller, G. (1956), “The Magical Number Seven Plus or Minus Two: Some Limits on our Capacity for Processing Information,” Psychological Review, Vol. 63, pp. 81–97.

    Article  Google Scholar 

  • Ratchford, B. T. (1978), “Consumer Choice Behavior — Review and Synthesis,” Working Paper 78–9, European Institute for Advanced Studies in Management, Brussels, Belg.

    Google Scholar 

  • Roy, B. (1968), “Classement et Choix en Presence de Points de Vue Multiples (La Méthode ELECTEE),” Revue d’Informatique et de Recherche Opérationelle, No. 8, pp. 57–75.

    Google Scholar 

  • Roy, B. (1973), “How Outranking Relation Helps Multiple Criteria Decision Making,” in Selected Proceedings of a Seminar on Multi-Criteria Decision Making, October, 1972, The University of South Carolina Press, Columbia, pp. 179–201.

    Google Scholar 

  • Roy, B. (1977), “Partial Preference Analysis and Decision Aid: The Fuzzy Outranking Relation Concept,” in Bell, Keeney, and Raiffa (1977).

    Google Scholar 

  • Sarin, R. K. 1975), “Interactive Procedures for Evaluation of Multiattributed Alternatives,” Doctoral Thesis, U.C.L.A. (Working Paper No. 232 of the Western Management Science Institute).

    Google Scholar 

  • Slovic, P. and Lichtenstein, S. (1971), “Comparison of Bayesian and Regression Approaches to the Study of Information Processing in Judgment,” Organizational Behavior and Human Performance, 6, pp. 649–744.

    Article  Google Scholar 

  • Srinivasan, V. and Shocker, A. D. (1973), “Linear Programming Techniques for Multidimensional Analysis of Preferences,” Psychometrika, 38, pp. 337–369.

    Article  Google Scholar 

  • Starr, M. and Zeleny, M. (Eds.)(1977), Multiple Criteria Decision Making, NorthHolland/TIMS Studies in the Management Sciences, Vol. 6.

    Google Scholar 

  • Steuer, R. E. (1977), “Multiple Objective Linear Programming with Interval Criterion Weights,” Management Science, Vol. 23, No. 3, pp. 305–316.

    Article  Google Scholar 

  • Steuer, R. E. and Schuier, A. T. (1976), “An Interactive Multiple Objective Linear Programming Approach to A Problem in Forest Management,” Working Paper No. BA2, College of Business and Economics, University of Kentucky.

    Google Scholar 

  • Thiriez, H. and Houri, D. (1976), “Multi-Person Multi-Criteria Decision-Making: A Sample Approach,” in Thiriez and Zionts (1976), pp. 103–119.

    Google Scholar 

  • Thiriez, H., and Zionts, S. (Eds.)(1976), Multiple Criteria Decision Making, Jouy-en-Josas, France, 1975, Vol. 130, Springer-Verlag, Heidelberg, 409 pp.

    Google Scholar 

  • Villareal, B. (1979), Multicriteria Integer Linear Programming, Doctoral Dissertation, Department of Industrial Engineering, State University of New York at Buffalo.

    Google Scholar 

  • Wallenius, J. (1975), “Comparative Evaluation of Some Interactive Approaches to Multicriterion Optimization,” Management Science, Vol. 21, pp. 1387–1396.

    Article  Google Scholar 

  • Wallenius, H., Wallenius, J., and Vartia, P. (1978), “An Approach to Solving Multiple Criteria Macroeconomic Policy Problems and an Application,” Management Science, Vol. 24, No. 10, pp. 1021–1030.

    Article  Google Scholar 

  • Yu, P. L. and Zeleny, M. (1975), “The Set of All Nondominated Solutions in the Linear Cases and a Multicriteria Simplex Method,” Journal of Mathematical Analysis and Applications, 49, No. 2, pp. 430–468.

    Article  Google Scholar 

  • Zeleny, M. (Ed.) (1976a), Multiple Criteria Decision Making, Kyoto 1975, Vol. 123, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Heidelberg, 345 pp.

    Google Scholar 

  • Zeleny, M. (1976b), “The Attribute-Dynamic Attitude Model (ADAM),” Management Science, Vol. 23, No. 1, pp. 12–26.

    Article  Google Scholar 

  • Zionts, S. (1977a), “Multiple Criteria Decision Making for Discrete Alternatives with Ordinal Criteria,” Working Paper No. 299, School of Management, State University of New York at Buffalo, presented at the International Symposium on Extremal Methods and Systems Analysis, University of Texas, Austin, September. Forthcoming in a special volume being published by Springer-Verlag.

    Google Scholar 

  • Zionts, S. (1977b), “Integer Linear Programming with Multiple Objectives,” Annals of Discrete Mathematics, Vol. 1, pp. 551–562.

    Article  Google Scholar 

  • Zionts, S. (Ed.)(1978), Multiple Criteria Problem Solving, Proceedings, Buffalo, NY (U.S.A.), 1977, Vol. 155, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Heidelberg, 567 pp.

    Google Scholar 

  • Zionts, S. (1979), “A Survey of Multiple Criteria Integer Programming Methods,” Forthcoming in The Annals of Discrete Mathematics.

    Google Scholar 

  • Zionts, S. and Wallenius, J. (1976), “An Interactive Programming Method for Solving the Multiple Criteria Problem,” Management Science, Vol. 22, No. 6, pp. 652–663.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Professor of Management Science, State University of New York, Buffalo, USA

    Stanley Zionts

Authors
  1. Stanley Zionts
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Fachbereich Wirtschafts und Rechtswissenschaften, Fernuniversität Hagen, Roggenkamp 6, 5800, Hagen 1, Germany

    Günter Fandel  & Tomas Gal  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zionts, S. (1980). Methods for Solving Management Problems Involving Multiple Objectives. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making Theory and Application. Lecture Notes in Economics and Mathematical Systems, vol 177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48782-8_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-48782-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09963-5

  • Online ISBN: 978-3-642-48782-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation