Using the source and the relay utility functions described in (2) and (3), we plot the source utility and the relay utility for varying relay to BS distances.
More specially, in the case of cooperation, the source utility is the satisfaction measure achieved where cooperation subtracts the total price paid to the BS and the relay.
It is also worth noting that the source utility under cooperation is close to that of the relay, this being due to the fact that our strategy is aimed at maintaining fairness among each user.
The NBS is a core solution concept in cooperative game theory, and we choose it as the bargaining game solution among many bargaining games for the following reasons: First, since the NBS is obtained based on a certain set of axioms representing the fairness of the solution, it can improve the sources' utility and maintain the fairness among sources at the same time.
Then the CSM will determine the suitable policy to divide the available resources among all users, while in [11], base station sets a price on the resource, and each mobile user determines its average resource request depending on the announced price and its own source utility characteristics.
The open source utility 'Freckle' was used for sequence dot plotting (code.google.com/p/freckle/).com/p/freckle/
The precision of 29 carbon sources utilities reached up to 96.6% when simulated by iYL_2.0.
In Figure 7, we show the source utilities of the centralized scheme and the proposed game.
Substantial use is made of existing Open Source utilities, tools and libraries such as Apache Commons [59], Restlet [60] and CDK [61].
In order to provide a flexible tool, the proposed design philosophy involves two open source utilities DONKEY and MIDAS written in Grasshopper algorithm editor and C++, respectively, that are to be linked with a scripting-based architectural modellers Rhinoceros, IntelliCAD and the open source Finite Element solver OOFEM.
