Before revision:  The master equation is converted to a linear Fokker-Planck equation (LFPE), which yields the average positions of the cargo and motors, as well as their fluctuations and correlation functions. We apply this formalism to two specific forms of the hopping rates. Analytical results are obtained for mean cargo velocity , diffusion coefficient and the average force experienced by each motor for arbitrary N, and compared with numerical simulations.
After revision:  The master equation is converted to a linear Fokker-Planck equation . The deterministic equations governing the average quantities are separated out and explicit analytical expressions are obtained for mean cargo velocity , diffusion coefficient and the average force experienced by each motor for arbitrary N, and compared with numerical simulations.