Two-worker blocking congestion model with walk speed m in a no-passing circular passage system |
| |
Authors: | Soondo Hong |
| |
Institution: | Systems Engineering Center, Samsung Display Corporation, Asan-city, Chungcheongnam-do 336-741, South Korea; Department of Industrial Engineering, Pusan National University, Geumjeong-gu, Pusan 609-735, South Korea |
| |
Abstract: | 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. |
| |
Keywords: | Facilities planning and design No-passing passage system Blocking congestion Bucket brigade order picking |
本文献已被 ScienceDirect 等数据库收录! |
|