On the noninferior index approach to large-scale multi-criteria systems

✍ Scribed by Robert W. Reid; Venkateswararao Vemuri

• Book ID: 103085628
• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 976 KB
• Volume: 291
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(71)90181-5

✦ Synopsis

The noninferior index solution of multi-criteria optimization theory is studied as it relates to large-scale systems. The noninferior index set is related in a one-to-one manner to a family of auxiliary scalar index problem, where the auxiliary index is the inner product of the index vector J and a weighting vector a. Particulur emphasis is placed on the functional relation between the noninferior index solutions and the weighting vector values. For a certain class of parameter optimization problems the entire noninferior index surface can be determined by solving the auxiliary index problem using only one value of the weighting vector a. The noninferior index solutions for such a parameter optimization problem are obtained for a large-scale system problem in water resource planhag.