Fractional Transportation Problem Research Articles

Fractional Programming: Theory, Methods and Applications

Introduction. 1. Fractional Programming Applications. 2. Convex, Quasiconvex, Pseudoconvex, Logarithmic Convex, alpham-Convex, and Invex Functions. 3. Methods for Solving Linear Fractional Programming Problems. 4. Nonlinear Fractional Programming. 5. Duality in Fractional Programming. 6. Fractional Programming with Multiple Objective Functions. 7. Fractional Programming in the Complex Space. 8. Special Linear Fractional Programming Problems. 9. Integer and Mixed Integer Linear Fractional Programming. 10. Fractional Transportation Problem. Bibliography. Subject Index. Author Index.

A paradox in linear fractional transportation problems with mixed constraints

The present paper studies a paradox in Linear Fractional Transportation Problems with 'mixed constraints'. A sufficient condition for the existence of a paradox is established. Paradoxical range of flow is obtained for any flow in which the corresponding objective function value is less than that of the original Linear Fractional Transportation Problem with 'mixed constraints'