Hi Christine,
did you check the actual delivery date in web service ManageSiteLogisticsTaskIn (Inbound Service Interface (public)):
<n0:SiteLogisticsTaskBundleMaintainRequest_sync_V1 xmlns:n0="http://sap.com/xi/SAPGlobal20/Global">
<BasicMessageHeader>
<ID>987654321</ID>
<UUID>98765432-90ab-cdef-0123-456789abcdef</UUID>
</BasicMessageHeader>
<SiteLogisticsTask>
<SiteLogisticTaskID>132</SiteLogisticTaskID>
<SiteLogisticTaskUUID>12345678-90ab-cdef-0123-456789abcdef</SiteLogisticTaskUUID>
<ActualDeliveryDate>
<StartDateTime timeZoneCode="CET">2015-05-28T12:00:00.1234567Z</StartDateTime>
<EndDateTime timeZoneCode="CET">2015-05-29T12:00:00.1234567Z</EndDateTime>
</ActualDeliveryDate>
...
BR, Knut