Application of an Optimization Model in the Aggregate Production Planning of a Textile Industry

Authors

Avendaño Delgado, Enrique Martin

Florián-Sánchez, Odar Daniel

Florián Castillo, Odar Roberto

Abstract

The objective of the research was to develop a model to optimize resources in the aggregate planning of production in a Spinning Textile company through mixed linear programming, the specific objectives being: Determine the optimal combination of resources for the aggregate plan of the company and estimate the cost of the optimal plan and aggregate planning. A mathematical model was developed to optimize production resources, including 48 restrictions and 72 variables. The optimal scheduling policy determines a mixed strategy of hiring and/or firing workers, producing stock to cover higher demands and/or incurring a production deficit, taking into account the optimization of the organization's resources and carrying out the execution of the aggregate production plan at the lowest possible cost. The total cost of the aggregate plan is $6,088,823 including $425,049 of the cost of the optimal plan and $5,663,774 of the cost of raw materials. The costs associated with: Hiring $390, firing $2,304; use of overtime $5,632 and payroll in normal time $374.68.