Performance Evaluation Models for Single-item Periodic Pull Production Systems

Abstract

A number of pull production systems reported in the literature are found to be equivalent to a tandemqueue so that existing accurate tandem-queue approximation methods can be used to evaluate such systems. In this study, we consider developing an exact performance evaluation model for a non-tandemqueue equivalent pull production system using discrete-time Markov processes. It is a periodically controlled serial production system in which a single-item is processed at each stage with an exponential processing time in order to satisfy the Poisson finished product demand. The selected performance measures are throughput, inventory levels, machine utilizations and service level of the system. For large systems, which are difficult to evaluate exactly because of large state-spaces involved, we also propose a computationally feasible approximate decomposition technique together with some numerical experimentations.

The general behavior of pull production systems: The allocation problems

“…A single-item multi-stage stochastic periodic pull production system is considered in this study to investigate the impacts of system parameters on the mean throughput rate of the system. All descriptive and modelling details of this production system can be found in [17].…”

Performance evaluation of a JIT production system

“…Mitrani(1990,1991) show that a Kanban discipline dominates a c1assical production discipline in terms of throughput. Kirkavak and Din~er(1996) develop an exact performance evaluation model for JIT production system using discretetime Markov processes and propose a computationally feasible approximate decomposition technique. Tayur(1992Tayur( ,1993 derives structural properties of a multi-stage JIT production system using a generalized semi-Markov process.…”