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    Area of Science:

    • Computer Science
    • Control Theory
    • Parallel Processing Systems

    Background:

    • Throughput in parallel processing systems is critical for efficiency.
    • Cycle time directly impacts throughput but is challenged by clock asynchrony and the curse of dimensionality.
    • Existing methods struggle with the complexity of numerous processing tasks.

    Purpose of the Study:

    • To configure cycle time in parallel processing systems.
    • To mitigate the curse of dimensionality in these systems.
    • To enhance overall system throughput and efficiency.

    Main Methods:

    • Utilizing max-plus algebra for cycle-time configuration.
    • Modeling the parallel processing system as a max-plus nonautonomous system.
    • Employing a synchronous feedback controller for cycle-time management.
    • Leveraging instruction dependency and weak linear independence for system equivalence.

    Main Results:

    • Successfully configured cycle time in parallel processing systems.
    • Mitigated the curse of dimensionality inherent in complex task scheduling.
    • Demonstrated the effectiveness of the max-plus algebra approach via numerical simulations.
    • Ensured adherence to system time restrictions during configuration.

    Conclusions:

    • The proposed max-plus algebra-based cycle-time configuration is effective for parallel processing systems.
    • This method enhances system throughput by addressing clock asynchrony and dimensionality challenges.
    • The synchronous feedback controller ensures reliable cycle-time management within time constraints.