A detailed description of dynamic priority queue.

<p>Through auction processing, the winning job obtains the current best position, and enters into corresponding priority queue with timestamp. Then, the job waits for being scanned and inputted in Q₁.</p

Power consumption of requester cost items.

<p>Power consumption of requester cost items.</p

Total requester cost with a varying number of helpers and tasks.

<p>The x-axis and y-axis represent iteration times and the total cost, respectively. Every line graph reveals a number of helpers. We use triangle, square, and circle to denote sequential scheduling, NSGA-II and PSO, respectively. Green, blue and red show different task numbers respectively.</p

Selecting a suitable number for priority queues.

<p>Different numbers of jobs are displayed in x-axis, and y-axis presents the average performance-price ratio of jobs. On the right side, 2, 4, 6, 8 represents different numbers of priority queues.</p

Selecting iteration times of NSGA-II in LMCque and LMCpri.

<p><b>(a). Average value of execution time of different iteration times.</b> Different iteration times are exhibited in x-axis, and y-axis presents average value of execution time. <b>(b). Frequency of iteration times.</b> Different iteration times are displayed in x-axis, and y-axis presents the frequency of iteration times.</p

Comparing total execution time of LMCpri and cloud assisting architecture (CAA).

<p><i>H</i> means the number of helpers in x-axis.</p

Compounded local mobile cloud architecture.

<p>This model is used to present the execution process of <i>CLMCA</i>.</p

Selection operator of NSGA-II.

<p>Selection operator of NSGA-II.</p

Total execution time with different number of tasks, helpers.

<p>The x-axis and y-axis represents iteration times and total execution time, respectively. Every line graph represents a number of helpers. We use triangle, square, and circle to denote sequential scheduling, NSGA-II and PSO, respectively. Green, blue and red show different task numbers respectively.</p

Comparing <i>LMCpri</i> with <i>LMCque</i> at execution time.

<p>Different numbers of jobs are displayed in x-axis, and y-axis presents the average execution time of jobs.</p