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The authors studied a class of Service Overlay Network (SON) design problem with reliability constraints. It is assumed that a SON network could enter an inadmissible status for two reasons; first when there is insufficient resource to accommodate new connections, second when some hardware devices malfunction. The design problem is usually formulated as either a Maximum Profit (MP) constrained optimization problem or a Minimum Cost (MC) constrained optimization problem. In this paper, they investigate the relationship between the two formulations in the context of ensuring system operability.
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