Back-of-the-envelope miniload throughput bounds and approximations |
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Authors: | Robert D Foley Steven T Hackman Byung Chun Park |
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Affiliation: |
a School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA
b Department of Industrial Engineering, Keimyung University, Taegu, Korea |
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Abstract: | We derive simple formulas bounding and approximating the throughput of an end-of-aisle miniload system with exponentially distributed pick times and either uniform or turnover-based storage. For typical configurations, the worst-case relative error for the bounds is less than 4%. We use our bounds to show that, for all practical purposes, regardless of the configuration, the picker utilization determines the storage/retrieval machine utilization, and vice versa. Thus, a system designer cannot hope to independently achieve separate goals for the utilization rates. |
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Keywords: | |
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