Optimized Nutrients Diet Formulation of Broiler Poultry Rations in Nigeria Using Linear Programming

Abstract

The diet problem is a classic problem, one among the earliest problems formulated as a linear programming. The goal of the diet problem is to select a set of nutrients that will satisfy a set of daily nutritional requirement at minimum cost. Poultry being simple stomached species, cannot synthesize most of the nutrients required for them and so the nutrients become dietary essentials. Chicken has to be fed adequate quantities of balanced diet for its growth, livability and to exhibit its genetic potential to the full extent. Maximizing live bird profitability is similar to minimizing feed cost per kg live weight. The nutrient diet model formulation is a combination of different feed ingredients needed for a balance diet of the bird. The generic mathematical model which is applicable to each type of ration nine decision variables and ten parameters is constructed as subject to a set of twelve obtained constraints from a local farm. The model was solved using an excel solver package for easy accessibility. Model solution and post-optimality test results were obtained and compared with existing practice of the case study farm. The proposed optimal formulation of the linear programming model gives about 7.48% and 9.96% reduction in feed formulation costs compared to the existing formulation in case of broiler starter and finisher respectively on the farm. The model also reduced the amount of fat contained in the existing ration but adding more flesh by significantly increased the metabolisable energy needed for physiological structure. Post-optimality test or Sensitivity analysis also gave useful insight into the impact of changes in costs of feed inputs.

Broiler Poultry Feed Cost Optimization Using Linear Programming Technique

“…This indicates the proposed feed mix will reduce cost of finisher feed. Our results are in line with the findings of Oladokun and Johnson (2012) and Olugbenga et al (2015). Both the studies demonstrated that a reduction in cost of broiler feed could be achieved without compromising the nutrient content through the application of linear programming techniques.…”

“…They were able to achieve a formulation that not only satisfied all requirements and constraints but also proffered a comparatively cheaper price than the existing formulation. Olugbenga et al (2015) carried out optimization of broiler feed rations at least cost with a case study of Nigerian poultries. A linear programming model was also applied for this study.…”

“…Their high rate of productivity results in relatively high nutrient needs. Poultry feeding is one of the important branches of poultry industry, since feed cost accounts for 70–80 percent of the total farm expenses (Gunasekar, 2007; Olugbenga, Abayomi, Oluseye, & Taiwo, 2015). It is in the interest of every poultry man to be able to get as much chicken meat or as many egg for every rupee that he spends on the feed as possible.…”

Penentuan Kapasitas Produksi Dengan Metode Simpleks Pada Ukm Di Kota Batam

“…Terdapat 24 fungsi konstrain dan 1 fungsi tujuan yang diselesaikan secara simultan dengan simpleks. Terdapat beberapa asumsi yang digunakan yakni linearity, simple objective, certainty, additivity, divisibility, non-negativity, finiteness dan proportionality (Olugbenga et al, 2015).…”

Optimizing Laying Hen Diet using Multi-Swarm Particle Swarm Optimization

“…While in Nigeria, the feed takes approximately 65-80% of all cost production [2]. Linear Programming (LP) is the commonly employed in optimizing diet formulation [3][4][5] and successfully reducing the cost. However, as a constraint in requirement more restricts and no violation is allowed, LP could not provide the feasible formula.…”