Improved Cuckoo Search Optimization for Production Inventory Control Systems

Abstract

In the industry, the efficient use of production-inventory control system has a great importance. This article presents an investigation study of the impact of an optimal Integral minus Proportional Derivative (I-PD) controller on the dynamic behavior of production-inventory system. The differential equations of the system are firstly formulated. Then, the I-PD controller is proposed to enhance the responsiveness of the inventory performance. Two swarm optimization techniques, Cuckoo Search Optimization (CSO) and an Improved CSO (ICSO), are applied to optimally tune the design parameters of the proposed I-PD controller. In order to represent a realistic environment, two simulations are conducted. The first scenario is conducted when the production-inventory system is subject to a unit step change in the desired input, while the second scenario has demonstrated the behaviors of system under random demand input. The simulation results based on MATLAB programming software showed the superiority of ICSO to tune the I-PD controller over the traditional CSO. In comparison study of performance for both tuning schemes, the Integral Time of Absolute Error (ITAE) index has been used as a measure of assessment. As compared to traditional CSO, the result indicates that the I-PD tuned by ICSO could better improve the performance of production-inventory system in terms of significant reduction in inventory cost.