Application of Residuation Theory in Network Calculus

Fan Baohua, Zhang Heying, Dou Wen-hua · 2009

This paper proposes a framework for the application of residuation theory in network calculus. Min-plus convolution and deconvolution composes a dual-residuated pair, their properties can be studied by using residuation theory. End-to-end performance bounds can also be obtained by residuation method. The application of residuation theory in max-plus network calculus theory and time varying network calculus are also studied.

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