How to run engine on GPU?

Question

I’m studying a simulator called Simian (http://pujyam.github.io/simian/), I am basing mainly on this article here: https://ieeexplore.ieee.org/document/7408239/

In this article, where one of the authors is the engine developer, it is said that in the main loop of the program it is possible to make it run on the GPU from "event scheduler". I wanted a light on how to fix this...

Here is the main engine loop:

while globalMinLeft < self.endTime:
        epoch = globalMinLeft + self.minDelay

        self.minSent = self.infTime
        while len(self.eventQueue) > 0 and self.eventQueue[0][0] < epoch:
            (time, event) = heapq.heappop(self.eventQueue) #Next event
            self.now = time #Advance time

            #Simulate event
            entity = self.entities[event["rx"]][event["rxId"]]
            service = getattr(entity, event["name"])
            service(event["data"], event["tx"], event["txId"]) #Receive

            numEvents = numEvents + 1

        if self.size > 1:
            globalMinSent = self.MPI.allreduce(self.minSent, self.MPI.MIN) #Synchronize minSent
            while True: #Busy wait for incoming messages; synchronize
                while self.MPI.iprobe(): #Outer repeat loop needed since per standard, MPI_Iprobe can give false negatives!!
                    remoteEvent = self.MPI.recvAnySize()
                    heapq.heappush(self.eventQueue, (remoteEvent["time"], remoteEvent))
                minLeft = self.infTime
                if len(self.eventQueue) > 0: minLeft = self.eventQueue[0][0]
                globalMinLeft = self.MPI.allreduce(minLeft, self.MPI.MIN) #Synchronize minLeft
                if globalMinLeft <= globalMinSent: break #Global queue is not ahead in time to global minsent
        else:
            minLeft = self.infTime
            if len(self.eventQueue) > 0: minLeft = self.eventQueue[0][0]
            globalMinLeft = min(self.minSent, minLeft)

    if self.size > 1:
        self.MPI.barrier()
        totalEvents = self.MPI.allreduce(numEvents, self.MPI.SUM)
    else:
        totalEvents = numEvents

    if self.rank == 0:
        elapsedTime = timeLib.clock() - startTime
        print "SIMULATION COMPLETED IN: " + str(elapsedTime) + " SECONDS"
        print "SIMULATED EVENTS: " + str(totalEvents)
        print "EVENTS PER SECOND: " + str(totalEvents/elapsedTime)
        print "==========================================="