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Task offloading is a key component in mobile edge computing. Offloading atask to a remote server takes communication and networking resources. Analternative is device-todevice (D2D) offloading, where a task of a device isoffloaded to some device having computational resource available. The latterrequires that the devices are within the range of each other, first for taskcollection, and later for result gathering. Hence, in mobility scenarios, theperformance of D2D offloading will suffer if the contact rates between thedevices are low. We enhance the setup to base station (BS) assisted D2Doffloading, namely, a BS can act as a relay for task distribution or resultcollection. However, this would imply additional consumption of wirelessresource. The associated cost and the improvement in completion time of taskoffloading compose a fundamental trade-off. For the resulting optimizationproblem, we mathematically prove the complexity, and propose an algorithm usingLagrangian duality. The simulation results demonstrate not only that thealgorithm has close-to-optimal performance, but also provide structuralinsights of the optimal trade-off.

BS-assisted Task Offloading for D2D Networks with Presence of User Mobility