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: | Dolgui A, Eremeev A, Kovalyov M, Sigaev V |
Keywords: | flow lines, NP-hard, tandem queues |
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.