Mobile　devices　are　affected　by　limited　energy　and　channel　resources　in　the　dynamic　scenarios　with　high　mobility　and　complexity,　which　will　trigger　the　risks　such　as　task　failure　or　low　offloading　efficiency.　This　article　proposes　a　multiuser　and　multiserver　MEC　network　framework　based　on　simultaneous　wireless　information　and　power　transfer　(a.k.a.,　SWIPT).　We　first　consider　multiple　mobile　devices　with　fixed　task　information　in　which　the　tasks　can　be　either　processed　in-local　or　offloaded　to　the　MEC　server　for　processing　via　uplink　transmission.　Our　method　also　embraces　a　hierarchical　demand-weighted　index　(HDWI)　and　priority　channel　transmission　scheduling　rule,　which　can　evaluate　the　status　of　device　services　and　effectively　conduct　the　hierarchical　offloading　of　tasks.　In　this　case,　our　model　not　only　ensures　the　continuity　of　the　service　provided　by　mobile　devices　but　also　evaluates　the　relationship　between　energy　consumption　and　device　delay　during　the　offloading　process.　Finally,　we　propose　an　efficient　mobile　device　cost　hierarchical　offloading　algorithm　(MCHOA)　to　deal　with　the　issues　produced　by　the　constructed　multiobjective　optimization　mathematical　model.　MCHOA　complies　with　the　principle　of　HDWI　and　is　combined　with　a　multiobjective　evolutionary　algorithm　based　on　decomposition　to　solve　various　mathematical　tasks　including　obtaining　the　Pareto　optimal　curve　regarding　the　average　time　consumption　and　the　average　energy　consumption　of　devices.　The　experimental　results　show　that　MCHOA　can　simultaneously　reduce　time　consumption　and　energy　consumption　costs　by　at　least　13.3%　and　37.5%,　respectively.　Our　experiments　also　validate　the　superiority　of　the　proposed　algorithm　and　the　application　prospect　of　the　model.　©　2025　John　Wiley　&　Sons　Ltd.