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Published in:   Vol. 1 Issue 1 Date of Publication:   June 2012

A New Computer Oriented Technique to Solve Sum of Ratios Non-Linear Fractional Programming Problems

R.Ramesh Babu,S.Divyaa Devi, V.Palanisamy

Page(s):   1-6 ISSN:   2278-2397
DOI:   10.20894/IJCOA.101.001.001.001 Publisher:   Integrated Intelligent Research (IIR)

Normally the sum of ratios problems are reduced into a sequence of single-ratio problems and then solved by existing methods. Because of their combinatorial nature, the computational complexity grows exponentially. A sum of nonlinear fractional function optimization problem with several fractions is proved to be a NP-complete problem indicating that an efficient algorithm may not exist. The non-linear sum of fractional functions are linearized by piecewise linearization technique and converted into a linear sum of fractional programming problem. Optimal solution is found at for the new problem. The number of iterations depends on the contribution of decision variables to objective function value.