Building a mathematical model to Maximize the productivity company,s revenue using Integer linear fractional programming – with practical application

  • عبد الجبار خضر بخيت
  • فاطمة عبد الباري حسين
DOI: https://doi.org/10.33095/jeas.v20i79.816
Keywords: Building a mathematical model , Integer Linear Fractional programming (I.L.F.P) , Dinkelbach algorithm , complementary method , Goal programming (G.P) .

Abstract

This search summaries in building a mathematical model to the issue of Integer linear Fractional programming and finding the best solution of Integer linear Fractional programming (I.L.F.P) that maximize the productivity company,s revenue by using the largest possible number of productivity units and maximizing denominator objective which represent,s proportion of profits to the costs , thus maximizing total profit of the company at the lowest cost through using Dinkelbach algorithm and the complementary method on the Light industries company data for 2013 and comparing results with Goal programming methods results .

It is clear that the final results of resolution and Dinkelbach algorithm and complementary method are very near and maximizing proportion is equal , while, Goal programming methods is less .

From this , we can exclude that the Integer linear Fractional programming considers the best one , this result is logical because goal programming are trying to create harmony to achieve the goal of contrasting , This is considered as amodel in the model to maximize the return on any company productivity

Published
2014-10-01
How to Cite
بخيتع. ا., & حسينف. (2014). Building a mathematical model to Maximize the productivity company,s revenue using Integer linear fractional programming – with practical application. Journal of Economics and Administrative Sciences, 20(79), 310. https://doi.org/10.33095/jeas.v20i79.816
Issue
Vol 20 No 79 (2014)
Section
Statistical Researches

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