Integer weighted goal programming model for a multi-product company: a case study in the Nigerian food industry

Abstract

Production planning is a complicated task that requires cooperation among multiple functional units in any organization. The management of production companies have several goals or target which they intend to achieve for their company. Henceforth, this research work presents a weighted Goal programming model for the production problem of a Nigerian food manufacturing company. The goals of the work include minimization of the underachievement of the profit goal, minimization of the underachievement of production target of the breads (burger, sardine, banana, hot dog roll, coconut, mixed fruit) and minimization of the overachievement of the machine production time. The data was collected from the production and sales department of the case company. The data included the quantity of each raw material (flour, sugar, salt, milk, nutmeg, water, butter, yeast, preserver, improver) used in producing one unit of each bread type (burger, sardine, banana, hot dog roll, coconut, mixed fruit), profit per unit of bread, time used in producing 1 unit of bread, quantity target of 1 unit of bread. The goals of this work are 8 goals which include profit goal, machine time goal, production goal of burger bread, sardine bread, banana bread, hot dog roll bread, coconut bread, mixed fruit bread. From the results obtained using LINGO optimization software, 6 goals out of 8 target goals were achieved. The achieved goals include production goal of burger, sardine, banana, hot dog roll, coconut, mixed fruit bread while the goals not achieved includes machine time goal and profit goal.