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February 8, 20260 citationsOpen Access

The Generalized Variable Friction Constraint in Stochastic Networks

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SSSeptimiu-Vasile Sarca

Key Points

  • This work aims to address limitations in previous models regarding network constraints and dynamics.
  • Presented corrected definitions for operational regions in stochastic networks.
  • Introduced a generalized exponential barrier for improved modeling.
  • Analyzed the impact of system variance on the interaction penalty.
  • Established that the interaction penalty is dynamic and dependent on variance.
  • Revealed that previous linear inequalities are inadequate in saturation conditions.
  • Showed that entropy constraints are violated under the initial linear assumption.

Abstract

CORRIGENDUM -- Note regarding Version 1: Previous drafts defined the Feasible Operating Region using a linear inequality. Subsequent stress-testing reveals that this linear form is merely a First-Order Taylor Approximation valid only for low-density regimes (Backlog < 15%). In saturated networks, the linear assumption violates entropy constraints. This paper introduces the Generalized Exponential Barrier. We demonstrate that the 'Interaction Penalty' (alpha) is not a static constant, but a dynamic tensor dependent on system variance. The corrected cons

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Cite This Study

Septimiu-Vasile Sarca (2026) studied this question.

synapsesocial.com/papers/698828850fc35cd7a88480f6https://doi.org/10.5281/zenodo.18511469
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