ON QUEUES WITH DEPENDENT INTERARRIVAL AND SERVICE TIMES

.An M/C/l queueing svsleni IS siudied iii which llie wrvicc tinic required bv ;I cusionicr is dependent on the intcriirriviil lime beiwccn this arrival and i1i;ii ol' his predecessor Assuming ihc iwo variables are ";issocialed," we prove 1h;ii [lie expec~cd delav in [his svsicni is less than or equal io ihiii 01' Li convcniion;il M/G/ I queue This coiicltision h:is heen verified vi;i siniul~itioti hv Miichell .ind I'LiuIsnn 191 lor ii spcci;iI class 01' dcpendcni M/.II/ I queue 'Their model is ii spccial ciisc 01' ihc one we consider here. We iilso siudv iinoihcr iiiodilietl G//C/ I qucue. where ihc arriviil proccs\ ;ind/or the set-vice process ;ire individu;illv ";issnci,iied "