Control theoretic model using PID controller for just-in-time production scheduling

ORIGINAL ARTICLE

DOI: 10.1007/s00170-010-2639-x

Cite this article as:
Cho, S. & Lazaro, A. Int J Adv Manuf Technol (2010) 51: 699. doi:10.1007/s00170-010-2639-x

Abstract

Today, manufacturing companies are under the pressure to reduce the variations in product delivery to customers with minimized manufacturing costs. In this circumstance, the job completions are required to be as close to due dates, which can be the objective of just-in-time (JIT) production. Thus, this paper proposes an innovative approach using a feedback controller for JIT production scheduling. Specifically, a feedback control system using proportional, integral, and derivative (PID) controller is designed to control the trajectory of arrival times in a single machine configuration, based on which various schedules are generated. Importantly, control system gains (proportional, integral, and derivative) are synthesized to generate an optimal or close to the optimal schedule in terms of due-date deviations and system stability. More specifically, control system gains are trained using the problem sets with known optimal schedules, and these trained gains are tested. It is expected that the proposed PID controller can be effectively applied for scheduling and rescheduling under various disturbances that cause destabilization of the system.

Keywords

PID controller Gain synthesis Robust schedule 

Copyright information

© Springer-Verlag London Limited 2010

Authors and Affiliations

  1. 1.Industrial and Manufacturing EngineeringSouthern Illinois University EdwardsvilleEdwardsvilleUSA
  2. 2.Department of Industrial EngineeringUniversity of MiamiCoral GablesUSA

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