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Software Defined Networking and Network Function Virtualization are twoparadigms that offer flexible software-based network management. Serviceproviders are instantiating Virtualized Network Functions - e.g., firewalls,DPIs, gateways - to highly facilitate the deployment and reconfiguration ofnetwork services with reduced time-to-value. They employ Service FunctionChaining technologies to dynamically reconfigure network paths traversingphysical and virtual network functions. Providing a cost-efficient virtualfunction deployment over the network for a set of service chains is a keytechnical challenge for service providers, and this problem has recently caughtmuch attention from both Industry and Academia. In this paper, we propose aformulation of this problem as an Integer Linear Program that allows one tofind the best feasible paths and virtual function placement for a set ofservices with respect to a total financial cost, while taking into account the(total or partial) order constraints for Service Function Chains of eachservice and other constraints such as end-to-end latency, anti-affinity rulesbetween network functions on the same physical node and resource limitations interms of network and processing capacities. Furthermore, we propose a heuristicalgorithm based on a linear relaxation of the problem that performs close tooptimum for large scale instances.

Virtual Function Placement for Service Chaining with Partial Orders and Anti-Affinity Rules