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Discrete event-driven model predictive control for real-time work-in-process optimization in serial production systems
Affiliation:1. University of Bremen, Faculty of Production Engineering, Badgasteiner Straße 1, 28359 Bremen, Germany;2. Department of Production Engineering, Federal University of São Carlos, Rod. Washington Luís – Km 235, CEP: 13565-905 São Carlos, São Paulo, Brazil;3. BIBA – Bremer Institut für Produktion und Logistik GmbH at the University of Bremen, Hochschulring 20, 28359 Bremen, Germany;1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400044, China;2. School of Mechanical and Electrical Engineering, Chongqing University of Arts and Sciences, Chongqing, 402160, China;1. Dept of Mechanical Engineering, Stony Brook University, Stony Brook, NY, 11794, USA;2. General Motors R&D, General Motors Corporation, Warren, MI, 48090, USA;1. Dept of Mechanical Engineering, Stony Brook University, Stony Brook, NY 11794, USA;2. General Motors R&D, General Motors Corporation, Warren, MI 48090, USA;1. Faculty of Engineering, Universidad de La Sabana, Campus del Puente del Común, Km. 7 Autopista Norte de Bogotá, Chía, Colombia;2. Faculty of Engineering and Sciences, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Office A215, Viña del Mar, Chile
Abstract:Advanced technologies (e.g., distributed sensors, RFID, and auto-identification) can gather processing information (e.g., system status, uncertain machine breakdown, and uncertain job demand) accurately and in real-time. By combining this transparent, detailed, and real-time production information with production system physical properties, an intelligent event-driven feedback control can be designed to reschedule the release plan of jobs in real-time without work-in-process (WIP) explosion. This controller should obtain the operational benefits of pull (e.g., Toyota’s Kanban system) and still develop a coherent planning structure (e.g., MRPII). This paper focuses on this purpose by constructing a discrete event-driven model predictive control (e-MPC) for real-time WIP (r-WIP) optimization. The discrete e-MPC addresses three key modelling problems of serial production systems: (1) establish a max-plus linear model to describe dynamic transition behaviors of serial production systems, (2) formulate a model-based event-driven production loss identification method to provide feedback signals for r-WIP optimization, and (3) design a discrete e-MPC to generate the optimal job release plan. Based on a case from an industrial sewing machine production plant, the advantages of the discrete e-MPC are compared with the other two r-WIP control strategies: Kanban and MRPII. The results show that the discrete e-MPC can rapidly and cost-effectively reconfigure production logic. It can decrease the r-WIP without deteriorating system throughput. The proposed e-MPC utilizes the available transparent sensor data to facilitate real-time production decisions. The effort is a step forward in smart manufacturing to achieve improved system responsiveness and efficiency.
Keywords:Max-plus algebra  Event-driven model predictive control  Real-time WIP optimization  Disturbing events  Production loss identification
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