Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 235, Issue 3, Pages 687-696Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2013.10.013
Keywords
Facilities planning and design; No-passing passage system; Blocking congestion; Bucket brigade order picking
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This paper introduces a blocking model and closed-form expression of two workers traveling with walk speed m (m = integer) in a no-passing circular-passage system of n stations and assuming n = m + 2, 2m + 2,.... We develop a Discrete-Timed Markov Chain (DTMC) model to capture the workers' changes of walk, pick, and blocked states, and quantify the throughput loss from blocking congestion by deriving a steady state probability in a closed-form expression. We validate the model with a simulation study. Additional simulation comparisons show that the proposed throughput model gives a good approximation of a general-sized system of n stations (i.e., n > 2), a practical walk speed system of real number m (i.e., m 1), and a bucket brigade order picking application. (C) 2013 Elsevier B.V. All rights reserved.
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