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Advances in Agriculture
Volume 2016, Article ID 2313695, 6 pages
Research Article

A Mixed Integer Programming Poultry Feed Ration Optimisation Problem Using the Bat Algorithm

1Department of Applied Mathematics, National University of Science & Technology, P.O. Box AC939, Ascot, Bulawayo, Zimbabwe
2Department of Agricultural Economics and Extension, University of Zimbabwe, P.O. Box MP167, Mt Pleasant, Harare, Zimbabwe
3Department of Agricultural Economics, Education and Extension, Bindura University of Science Education, Private Bag Box 1020, Bindura, Zimbabwe

Received 12 June 2016; Accepted 29 November 2016

Academic Editor: Christos Tsadilas

Copyright © 2016 Godfrey Chagwiza et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, a feed ration problem is presented as a mixed integer programming problem. An attempt to find the optimal quantities of Moringa oleifera inclusion into the poultry feed ration was done and the problem was solved using the Bat algorithm and the Cplex solver. The study used findings of previous research to investigate the effects of Moringa oleifera inclusion in poultry feed ration. The results show that the farmer is likely to gain US0.89 more if Moringa oleifera is included in the feed ration. Results also show superiority of the Bat algorithm in terms of execution time and number of iterations required to find the optimum solution as compared with the results obtained by the Cplex solver. Results revealed that there is a significant economic benefit of Moringa oleifera inclusion into the poultry feed ration.