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Area of Science:

  • Operations Research
  • Industrial Engineering
  • Logistics Management

Background:

  • Warehouse order processing speed is critical for modern logistics.
  • Autonomous storage and retrieval systems (AS/RS) often use parallel processing.
  • Shuttle-based compact storage systems (SBCSS) traditionally assume sequential policies.

Purpose of the Study:

  • To model and analyze a single-tier SBCSS using a parallel processing policy.
  • To compare the performance of parallel versus sequential processing policies.
  • To identify optimal system configurations for throughput time minimization.

Main Methods:

  • Modeling the SBCSS as a semi-open queueing network with class switching.
  • Utilizing a fork-join queueing network to represent parallel shuttle and transfer car movement.
  • Validating the analytical model against simulation data.
  • Conducting numerical experiments and analyzing a real-world case study.

Main Results:

  • The analytical model accurately estimates system performance.
  • A critical transaction arrival rate and depth/width ratio exist, below which sequential policy is superior.
  • The advantage of sequential policy diminishes with increased shuttle numbers, arrival rates, and depth/width ratios.
  • An optimal depth/width ratio of 1.75 minimizes expected throughput time.

Conclusions:

  • Parallel processing is recommended for SBCSS when the number of shuttles exceeds 2 or the transaction arrival rate is above 24 per hour.
  • The choice between parallel and sequential policies depends on specific system parameters and operational demands.
  • Optimizing the depth/width ratio is crucial for enhancing throughput time in real-world SBCSS applications.