The best replacement for logistic is exponential growth.

The best alternatives to logistic are rated as following:
★★★★★  exponential growth
★★★★  logistical
★★★  probit
★★  logistics
★★  logit
★★  supply chain
★★  exponential
★  logarithmic
★  sigmoid
★  supply chain management
  linear probability model
  scm
  proc genmod
  poisson regression
  transportation
  binomial regression

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