This　article　addresses　the　problems　of　dissipativity　analysis　and　feedback　dissipativity　of　discrete-time　switched　positive　systems　with　time-varying　delay.　On　the　basis　of　the　positivity　property　of　the　investigated　system,　the　definition　of　linear　(q,　r)-alpha-dissipativity,　utilizing　the　linear　copositive　storage　functionals　with　linear　supply　rates,　is　first　introduced.　The　switching　among　subsystems　is　orchestrated　by　a　state-dependent　switching　policy　that　obeys　prespecified　dwell-time　constraints.　Second,　in　order　to　reduce　the　conservatism　brought　by　the　identical　summation　term　functional　for　all　positive　subsystems,　we　propose　a　dwell-time-dependent　linear　copositive　storage　functionals　involving　summation　terms　which　are　diverse　appearing　in　the　functional.　Then,　less　conservative　criteria　are　developed　to　guarantee　the　system　is　strict　(q,　r)-alpha-dissipativity　by　resorting　to　the　switching　policy　or　the　joint　implementation　of　the　switching　policy　and　time-varying　controllers　for　subsystems.　Finally,　the　validity　of　the　proposed　techniques　is　illustrated　through　two　examples,　and　the　relationship　among　the　minimum　dwell　time,　performance　index,　and　time-varying　delay　is　also　revealed.