Bethe ansatz and current distribution for the TASEP with   particle-dependent hopping rates
  Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z. From this we derive a determinant expression for the time-integrated current for a step-function initial state. 
A. R\'akos, G. M. Sch\"utz