• RITU GUPTA

This paper considers a multilevel programming problem in which the objective functions are linear fractional and the constraints are linear. An algorithm based on pre-emptive goal programming approach is developed to obtain an optimal feasible solution. The higher level decision makers (DMs) provides the preferred values of the decision variables under their control and the target value of their objective functions to the next level DM to formulate a goal programming problem equivalent to the given multi-level programming problem. The proposed method is illustrated with the help of a tri-level programming problem.

Fractional programming, multi-level programming, goal programming, aspirational levels.

"An Algorithm for Multi-level Fractional Programming Problem Using Goal Programming", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.2, Issue 11, page no.1798-1819, November-2015, Available :http://www.jetir.org/papers/JETIR1701296.pdf

"An Algorithm for Multi-level Fractional Programming Problem Using Goal Programming", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.2, Issue 11, page no. pp1798-1819, November-2015, Available at : http://www.jetir.org/papers/JETIR1701296.pdf