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Mathematical Decomposition and Simulation in Real-Time Production Scheduling



W Davis, Albert T. Jones


This paper discusses an on-line, real-time production scheduling algorithm for automated manufacturing systems. Decomposition theory is used to transform a multi-criteria, production scheduling problem from a block angular structure into a two-level hierarchical structure. The top level, called the supremal, considers a list of jobs, due dates, precedence constraints, and objectives. It generates a set of potential scheduling rules and evaluates those rules using an on-line, distributed simulation package. The supremal outputs a list of tasks with proposed start and finish times to each of the lower level systems under its control. Each lower level system, called on infimal, then uses a similar simulation approach to sequence those tasks and generate actual start and finish times. These times, together with status on all other tasks, provide the feedback needed by the supremal to close the control loop.
NIST Interagency/Internal Report (NISTIR) - 3639
Report Number


mathemeatical decomposition, simulation, real-time production, scheduling, automated manufacturing


Davis, W. and Jones, A. (1987), Mathematical Decomposition and Simulation in Real-Time Production Scheduling, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD (Accessed June 13, 2024)


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Created December 31, 1986, Updated October 12, 2021