Optimal Leadtimes Planning in a Serial Production System

Linguo Gong · A.G. de Kok · Jie Ding

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Supply Chain and Inventory Management Management and Optimization Techniques Scheduling and Optimization Algorithms

Abstract

Consider an N stage serial production line where the processing times of orders may be random. Since the carrying costs increase from stage to stage, the standard production procedure, that is, to determine a total leadtime for the entire order by taking an appropriate percentile of the distribution of total processing time and then release the order immediately from stage to stage during the process, may not be optimal since it ignores inventory carrying costs. This article studies a per stage planned leadtime dispatching policy for such systems. The order will not be released immediately to the next workstation prior to a predetermined delivery time, or planned leadtime. The vector of planned leadtimes at workstations is to be determined by trading off expected holding costs at all stages and expected penalty costs for exceeding the total planned leadtime. We show that the optimal vector of planned leadtimes may be obtained efficiently by solving an equivalent serial inventory model of the type considered in Clark and Scarf (1960).

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References

2004Optimal Policies for a Multi-Echelon Inventory Problem 1984Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model 1991Finding Optimal (s, S) Policies Is About As Simple As Evaluating a Single Policy 1989Optimal Inventory Policies for Assembly Systems Under Random Demands 1976MATERIAL REQUIREMENTS PLANNING UNDER UNCERTAINTY 1987Setting Planned Leadtimes in Serial Production Systems with Tardiness Costs 1987Stochastic Leadtimes in Two-Level Assembly Systems

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