A Markovian Analysis for Delay at Conveyor-Serviced Production Stations

Abstract

A Markov process discrete in both time and space is used to establish a mathematical model for the analysis of delays associated with materials handling at conveyor-serviced production work stations. The model design assumes the physical ability to load processed units into conveyor spaces from which unprocessed units have just been removed.A set of realistic, simplified work rules applicable in a wide range of industrial applications is provided; consideration is given to the effect of a reserve and a bank to contain unprocessed and processed units; charts and numerical data are provided to show average delay and inprocess inventory at the work station for typical values of the several parameters involved.

Economic Station-Centered Network and Invisible Collaboration: A Cyclic vs. Semi-Cyclic View

“…From Reis et al [1], the station-centered approach has first been used to Conveyor-Serviced Production Systems (CSP System) in Matsui [2][3][4]. This is superior to the system-centered approach (Hunt [5]) in terms of treating the detailed (or practical) model and designing each station buffer in networks (Matsui [4,6]).…”

A Simulated Study of Conveyor-Serviced Production Stations

“…The results of this research yielded policies which reduce the delay in removing material from, or loading material to, the conveyor. Reis, Brennan & Crisp (1967) have considered afixed-range policy. This policy provided a given length of the conveyor from which to obtain or load material.…”