Abstract
An optimal design problem is considered for a flexible-manufacturing system (FMS), which consists of a group of numerically controlled machines, automatic guided vehicles (AGVs) and an auto-storage. The processing times of materials (jobs) at each machine form a sequence of identically, independenly distributed (i.i.d.) random variables (r.v.s.). The transferring times of jobs by each AGV from the auto-storage to a machine or from a machine to the total storage also form a sequence of i.i.d.r.v.s. The decision variable is the number of AGVs in the system when the number of machines is fixed. We propose a method for obtaining a lower bound NL on the optimal numbers of AGVs under some important economic criteria which have been used extensively for optimal machining speed problems: This means that at least NL AGVs should be installed in the system. Some numerical examples are presented that demonstrate the practical usefulness of the proposed method.
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