With　the　growth　in　data　volume　and　latency-sensitive　applications,　fog　computing　micro　datacenters　(FC-mDC)　have　been　proposed　as　a　promising　solution.　The　FC-mDC　locally　processes　raw　data　requested　by　the　computation　task.　A　group　of　related　parallel　computation　tasks　is　called　a　job,　and　the　required　raw　data　for　a　job　request　are　mostly　stored　in　multiple　FC-mDCs.　When　establishing　multiple　job　requests　in　the　FC-mDC　network,　effectively　managing　job　scheduling　and　data　transmission　is　an　open　challenge.　In　this　paper,　a　joint　optimization　algorithm　of　multiple　jobs　scheduling　and　lightpath　provisioning　(MJSLP)　is　investigated　for　minimizing　average　completion　time　in　FC-mDC　elastic　optical　networks.　The　MJSLP　algorithm　includes　two　key　submethods　that　have　a　progressive　relationship:　first,　for　the　minimization　of　a　single　job　completion　time　(i.e.,　the　slowest　task　completion　time　in　a　job),　a　mathematical　model　and　a　heuristic　algorithm　are　developed.　Then,　on　the　basis　of　single　job　completion　time,　an　integer　linear　programming　formulation　and　a　heuristic　algorithm　of　routing,　modulation　level,　and　frequency　slots　are　proposed.　Simulation　results　show　that　the　MJSLP　algorithm　outperforms　the　scheduling-only　and　routing-only　algorithms　in　terms　of　average　completion　time　and　frequency　slots.