Markov Models for System Throughput Analysis in Warehouse Design

Anja Heßler () and Christoph Schwindt ()
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Anja Heßler: Clausthal University of Technology
Christoph Schwindt: Clausthal University of Technology

A chapter in Operations Research Proceedings 2016, 2018, pp 475-480 from Springer

Abstract: Abstract In this paper we study the problem of computing the expected cycle time of a storage and retrieval system executing single-command cycles and being operated according to the closest open location rule. Assuming that the arrivals of the storage and the retrieval orders at the storage follow independent Poisson processes, we first consider the case of homogeneous inventory and develop closed-form expressions for the steady-state probabilities of a given storage location being selected for storage or retrieval. The approach is then generalized to storages with multiple stock keeping units. Comparing our results with estimation formulas from industry standards shows that the latter tend to significantly underestimate the maximum throughput of storage and retrieval systems.

Keywords: System Throughput Analysis; Retrieval Order; Expected Cycle Time; Homogeneous Invariants; Closest Open Location (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-55702-1_63

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DOI: 10.1007/978-3-319-55702-1_63

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