For　a　buffer　with　a　large　amount　of　work,　under　the　service　strategy　＇empty　buffers　in　a　fixed　sequence＇,　the　server　has　to　take　a　longer　time　to　empty　this　buffer,　making　other　buffers　unable　to　be　served　timely.　Motivated　by　this　problem,　we　propose　the　service　strategy　called　＇empty　buffers　in　a　fixed　sequence　with　upper　limits　of　service-time＇.　The　server　assigns　each　buffer　an　upper　limit　of　service-time　such　that　each　buffer　can　be　served　fairly.　It　is　proved　that　switched　server　system　under　the　proposed　service　strategy　is　periodically　stable　when　the　total　buffer　load　is　less　than　the　ratio　of　the　minimum　to　the　maximum　of　the　buffer　service-time　adjustment　factors.　Furthermore,　the　signal　timing　of　an　intersection　is　modeled　as　a　switched　server　system,　and　the　proposed　service　strategy　is　directly　applied　to　the　signal　timing　of　the　intersection.　The　effectiveness　of　the　proposed　methods　is　verified　by　the　simulation　for　an　intersection　based　on　practical　data.