Performance evaluation and analysis of a JIT-Kanban production system with sampling inspection

A just-in-time (JIT)-Kanban production system with sampling inspection is considered in this paper, where the processing do not always meet the requirement of the quality. Under this production environment, characteristics and components of the corresponding inventory management system are identified, relations and interactions between these components are explained and consequently, inventory growth and replenishment pattern of finished products to customers are investigated. Furthermore, the considered JIT-Kanban is formulated as a generalised Poisson queuing model where both the arrival rate and the processing rate are assumed to be Poisson process and state dependent, accordingly the state transition diagram is developed. Steady-state probabilities as a function of arrival rate, processing rate and sampling inspection policy (defects percentage and inspection probability) are derived. Consequently, the effects of different sampling inspection policies on the system's measures of performance are evaluated, measured and compared to each other. As a result, this paper reveals the fact that sampling inspection decreases the probability of JIT demand replenishment as well as it is shown to increase the lead time replenishment of demand and backorder probability. Also, sampling inspection increases the time needed for the system to reach the steady-state behaviour. Finally, results, conclusions and avenues for future work are presented.