A review and evaluation of multiobjective programing techniques

Three criteria are established for the evaluation of the utility of multiobjective programing techniques for water resource planning. The criteria are computational efficiency, explicitness of trade offs among objectives, and the amount of information generated for decision making. The multiobjective approaches are classified into generating techniques, techniques which rely on the prior articulation of preferences, and techniques which foster iterative definition of preferences. The methods in the various classes are reviewed and evaluated in terms of the hypothesized criteria. The evaluations are then used in establishing conclusions about the applicability of the multiobjective approaches to water resource problems.

[1]  T. L. Saaty,et al.  The computational algorithm for the parametric objective function , 1955 .

[2]  Carl N. Klahr,et al.  Multiple Objectives in Mathematical Programming , 1958 .

[3]  Herbert Terry,et al.  Comparative Evaluation of Performance Using Multiple Criteria , 1963 .

[4]  Lotfi A. Zadeh,et al.  Optimality and non-scalar-valued performance criteria , 1963 .

[5]  W. I. Davisson.  Public Investment Criteria , 1964 .

[6]  David Savir,et al.  MULTI OBJECTIVE LINEAR PROGRAMMING , 1966 .

[7]  Arthur Maass,et al.  Benefit-Cost Analysis: Its Relevance to Public Investment Decisions , 1966 .

[8]  Lawrence E. Briskin,et al.  A Method of Unifying Multiple Objective Functions , 1966 .

[9]  Arthur M. Geoffrion,et al.  Solving Bicriterion Mathematical Programs , 1967, Oper. Res..

[10]  D. Major.  Benefit‐Cost Ratios for Projects in Multiple Objective Investment Programs , 1969 .

[11]  P. Rogers.  A Game Theory Approach to the Problems of International River Basins , 1969 .

[12]  A. Charnes,et al.  Static and Dynamic Assignment Models with Multiple Objectives, and Some Remarks on Organization Design , 1969 .

[13]  Ralph L. Keeney,et al.  Multidimensional utility functions: theory, assessment, and application , 1969 .

[14]  Kailash C. Kapur,et al.  Mathematical methods of optimization for multi-objective transportation systems , 1970 .

[15]  Robert W. Reid,et al.  On the noninferior index approach to large-scale multi-criteria systems , 1971 .

[16]  Bernard Roy,et al.  Problems and methods with multiple objective functions , 1971, Math. Program..

[17]  R. Benayoun,et al.  Linear programming with multiple objective functions: Step method (stem) , 1971, Math. Program..

[18]  W. Meisel,et al.  The optimization of complex systems with respect to multiple criteria. , 1971 .

[19]  Johan Philip,et al.  Algorithms for the vector maximization problem , 1972, Math. Program..

[20]  Patrick Rivett,et al.  Principles of Operations Research , 1972 .

[21]  Stephen Trygve. Holl.  Efficient solutiosn to a multicriteria linear program, with application to an institution of higher education. , 1973 .

[22]  W. L. Miller,et al.  Development and Display of Multiple-Objective Project Impacts , 1973 .

[23]  D. H. Marks,et al.  Multiobjective screening models and water resource investment , 1973 .

[24]  C. Cicchetti,et al.  Evaluating federal water projects: a critique of proposed standards. , 1973, Science.

[25]  Lucien Duckstein,et al.  Interactive multiobjective programing in water resources: A case study , 1973 .

[26]  Kailash C. Kapur,et al.  An Algorithm for Solving Multicriterion Linear Programming Problems with Examples , 1973 .

[27]  Venkateswararao Vemuri,et al.  Multiple-Objective Optimization in Water Resource Systems , 1974 .

[28]  Y. Haimes,et al.  Multiobjectives in water resource systems analysis: The Surrogate Worth Trade Off Method , 1974 .