Abstract: | In this paper a linear fractional programming problem is studied in presence of “singular-points”. It is proved that “singular points”, if present, exist at an extreme point of S: = {x ? R n | Ax = b, x ≧0} It is also shown that a “singular point” is adjacent to an optimal point of S and a characterization of a non-basic vector is obtained, whose entry into the optimal basis in Martos' approach yields the “singular point”. |