| Article ID: | iaor1991781 |
| Country: | United Kingdom |
| Volume: | 2 |
| Start Page Number: | 269 |
| End Page Number: | 279 |
| Publication Date: | Apr 1989 |
| Journal: | IMA Journal of Mathematics Applied in Business and Industry |
| Authors: | Bogetoft P., Tind J. |
| Keywords: | programming: multiple criteria, programming: integer |
This paper presents two interactive procedures for decision problems with multiple criteria and decentralized information. One is a resource-directive procedure and the other is a price-directive procedure. The procedures are completely general and make no presumptions about linearity or convexity. Nevertheless, successively improved upper and lower bounds on the optimal value are determined in each iterative step. Consequently, the communication is progressive. The procedures are illustrated in an example from integer programming.