Linear Approximations in Exponential Functions and the Deconstruction of Permutational Redundancies: A Dynamic Person-Capacity Model

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-06
DOI
https://doi.org/10.5281/zenodo.22489181
Primary Topic
Transportation Planning and Optimization
Type
preprint
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preprint

Linear Approximations in Exponential Functions and the Deconstruction of Permutational Redundancies: A Dynamic Person-Capacity Model

Alper Pektaş
Zenodo (CERN European Organization for Nuclear Research)
Transportation Planning and Optimization
preprint

Linear Approximations in Exponential Functions and the Deconstruction of Permutational Redundancies: A Dynamic Person-Capacity Model

Alper Pektaş
preprint en

Abstract

This paper establishes the definitive mathematical formulation of the "Person-Capacity-Preference" model, originally conceptualized by Alper Pektas. While linear approximations fail to model the curved trajectories of exponential fields, this framework introduces a Dynamic Correction Coefficient (S(x,n)) that maps any linear estimation directly to its exact exponential reality. The model resolves the transition between "overflow redundancies" (at high fractional exponents) and "underflow voids" (at low fractional exponents), providing a unified algebraic correction for all real bases and exponents.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Transportation Planning and Optimization
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Linear Approximations in Exponential Functions and the Deconstruction of Permutational Redundancies: A Dynamic Person-Capacity Model — Alper Pektaş · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS