This　paper　investigates　a　capacitated　lane　reservation　problem　with　residual　capacity.　The　focus　of　the　problem　is　to　design　time-guaranteed　paths　for　a　set　of　transportation　tasks　via　lane　reservation　with　respect　to　the　residual　capacity　issue.　The　lane　reservation　can　ensure　the　time-guaranteed　travel　but　has　negative　impact　on　the　normal　traffic.　Thus,　the　objective　of　the　problem　is　to　minimize　the　impact　of　such　lane　reservation　by　optimally　selecting　lanes　in　the　network　to　be　reserved.　For　this　NP-hard　problem,　an　exact　approach　based　on　the　cut-and-solve　and　cutting　plane　methods　is　developed.　New　separation　algorithms　are　proposed　to　find　appropriate　valid　inequalities　according　to　the　characteristic　of　the　problem　to　accelerate　the　optimal　convergence　of　the　resolution　approach.　Numerical　computational　results　show　that　the　developed　approach　is　efficient　as　compared　with　state-of-the-art　algorithms　in　the　literature　and　the　IP　solver　CPLEX.　©　2014　Elsevier　Ltd.　All　rights　reserved.