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Kanban Controlled Pull Systems: An Analytic Approach

Jean-Luc Deleersnyder, Thom J. Hodgson, Henri Muller-Malek, Peter J. O'Grady

Management Science · 1989 · Volume 35 · Issue 9

DOI: 10.1287/mnsc.35.9.1079

Abstract

Three problem areas exist in designing and implementing a kanban controlled JIT system: the identification of flow lines problem, the flow line loading problem and the operational control problem. This paper addresses the operational control problem. A general N -stage serial production system is modeled as a discrete time Markov process. Capacity constraints, stochastic machine reliability and demand variability are included. The model is illustrated by a 3-stage system, describing the effects of the number of kanbans, the machine reliability, the demand variability and safety stock requirements on the performance of a kanban controlled pull system.

Keywords

kanban system, production/inventory, Markov process

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