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In this paper we propose an algebraic formalization of connectors in thequantitative setting, in order to address their non-functional features inarchitectures of component-based systems. We firstly present a weighted Algebraof Interactions over a set of ports and a commutative and idempotent semiring,which is proved sufficient for modeling well-known coordination schemes in theweighted setup. In turn, we study a weighted Algebra of Connectors over a setof ports and a commutative and idempotent semiring, which extends the weightedAlgebra of Interactions with types that encode Rendezvous and Broadcastsynchronization. We show the expressiveness of the algebra by modeling theweighted connectors of several coordination schemes. Moreover, we derive twosubalgebras, namely the weighted Algebra of Synchrons and the weighted Algebraof Triggers, and study their properties. Finally, we introduce a concept ofcongruence relation for connectors in the weighted setup and we provideconditions for proving such a congruence.

A formal algebraic approach for the quantitative modeling of connectors in architectures