Abstract
Suppose that a manager has identified a problem that can be formulated as a traditional linear programming problem with one added complication — the decision being modeled must be judged on the basis of more than one criterion. Now let Z1(x), Z2(x), ..., Zh(x), ..., Zk(x) model the criteria as linear objective functions, g(x) be a set of linear constraints and restrict all x to be nonnegative. For ease of explanation let’s further suppose that the manager can reduce the set of criteria down to three, k = 3, and that the objective functions can be specified with certainty.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barron, H. and C. P. Schmidt, “Sensitivity Analysis of Additive Multiattribute Value Models,” Operations Research, 36 (1988), 122–127.
Beckwith, N. E. and D. R. Lehman, “The Importance of Differential Weights in Multiattribute Models of Consumer Attitude,” Journal of Marketing Research, 10 (1973), 141–145.
Carroll, J. D., “Individual Differences and Multidimensional Scaling,” Multidimensional Scaling: Theory and Applications in Behavioral Sciences, Vol. 1.: Theory, Seminar Press, New York, (1972), 105–155.
Chapman, R. G. and R. Staelin, “Exploiting Rank Order Choice Set Data Within the Stochastic Utility Model,” Journal of Marketing Research, 19 (1982), 288–301.
Edwards, W., “How to Use Multiattribute Utility Measurement for Social Decision Making, IEEE Transactions on Systems, Man and Cybemetics, SMC-7 (1977), 326–340.
Einhorn, H. J. and R. M. Hogarth, “Unit Weighting Schemes for Decision Making,” Organization Behavior and Human Performance, 13 (1975), 171–192.
Einhorn, H. J. and W. McCoach, “A Simple Multiattribute Utility Procedure for Evaluation,” Behavioral Science, 22 (1977), 270–282.
Green, P. E. and V. R. Rao, “Conjoint Measurement for Qualifying Judgmental Data,” Journal of Marketing Research, 8 (1971), 355–363.
Horsky, D. and R. M. Rao, “Estimation of Attribute Weights from Preference Comparisons, Management Science, 30 (1984), 801–822.
Saaty, T. L., The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
Sherali, H. D., “Equivalent Weights for Lexicographic Multi-Objective Programs: Characterizations and Computations,” European Journal of Operational Research, 39 (1982), 367–379.
Sherali, H. D. and A. L. Soyster, “Preemptive and Non-Preemptive Multi-Objective Programming: Relationship, Characterizations and Counter-Examples,” Journal of Optimization Theory and Applications, 39 (1983), 173–186.
Shoemaker, P. J. H. and C. C. Waid, “An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models,” Management Science, 28 (1982), 182–196.
Srinivasan, V. and A. D. Shocker, “Linear Programming Techniques for Multi-Dimensional Analysis of Preferences,” Psychometrika, 38 (1973), 337–369.
von Winterfeldt, D. and W. Edwards, Decision Analysis and Behavioral Research, Cambridge University Press, Cambridge, England, 1986.
Other Relevant Readings
Dyer, J. S., “On the Relationship Between Goal Programming and Multiattribute Utility Theory,” Discussion Paper No. 69, Management Science Study Center, Graduate School of Management, University of California at Los Angeles, Los Angeles, California, 1977.
Hannan, E. L., “An Assessment of Some Criticisms of Goal Programming,” Computers and Operations Research, 12 (1985), 525–541.
Ignizio, J. P., Goal Programming and Extensions, D. C. Heath, Lexington, Massachusetts, 1976.
Ignizio, J. P., Linear Programming in Single and Multiple Objective Systems, Prentice-Hall, England Cliffs, New Jersey, 1982.
Ignizio, J. P., “Generalized Goal Programming: An Overview,” Computers and Operations Research, 10 (1983), 277–289.
Lee, S. M., Goal Programming Jor Decision Analysis, Auerbach, Philadelphia, 1972.
Schneiderjans, M. J., Linear Goal Programming, Petrocelli Books, Princeton, New Jersey, 1984.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ringuest, J.L. (1992). Linear Goal Programming. In: Multiobjective Optimization: Behavioral and Computational Considerations. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3612-3_2
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3612-3_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6605-8
Online ISBN: 978-1-4615-3612-3
eBook Packages: Springer Book Archive