Abstract
It is shown that duality in mathematical programming can be treated as a purely order theoretic concept which leads to some applications in economics. Conditions for strong duality results are given. Furthermore the underlying sets are endowed with (semi-)linear structures, and the perturbation function of arising linear and integer problems, which include bottleneck problems and extremal problems (in the sense of K. Zimmermann), is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 197-209 |
| Journal | Zeitschrift für Operations-Research |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1982 |