“…in order to measure the efficiency or productivity of the system. Many economic, non-economic and indirect applications of fractional programming problem have also been given by Dinklebaeh (1967), Jagannathan (1973), Bector (1973), Bector and Chandra (1986), Craven (1998), Mond and Weir (1982), Stancu-Minasian (1997), Schaible and Ibaraki (1983), Ahmad and Sharma (2007), Gulati et al (2007), Kim et al (2006) and Ahmad et al (2011aAhmad et al ( , 2011b.…”