Restricted permutations and queue jumping
  A connection between permutations that avoid 4231 and a certain queueing discipline is established. It is proved that a more restrictive queueing discipline corresponds to avoiding both 4231 and 42513, and enumeration results for such permutations are given. 
M.H. Albert, R.E.L. Aldred, M.D. Atkinson, H. van Ditmarsch, C.C.   Handley, D.A. Holton