Complexity of Buffer Capacity Allocation Problems for Production Lines with Unreliable Machines

Complexity of Buffer Capacity Allocation Problems for Production Lines with Unreliable Machines

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Article ID: iaor20134014
Volume: 12
Issue: 2
Start Page Number: 155
End Page Number: 165
Publication Date: Jun 2013
Journal: Journal of Mathematical Modelling and Algorithms in Operations Research
Authors: , , ,
Keywords: flow lines, NP-hard, tandem queues
Abstract:

Buffer capacity allocation problems for flow‐line manufacturing systems with unreliable machines are studied. These problems arise in a wide range of manufacturing systems and concern determining buffer capacities with respect to a given optimality criterion which can depend on the average production rate of the line, buffer cost, inventory cost, etc. Here, this problem is proven to be NP‐hard for a tandem production line and oracle representation of the revenue and cost functions, and NP‐hard for a series‐parallel line and stepwise revenue function.

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