无人机边缘计算中的计算卸载——Stackelberg博弈方法论文复现附matlab代码

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⛄ 内容介绍

基于物联网的服务受益于云，云提供了几乎无限的功能，如存储、处理和通信。然而，移动用户在满足服务质量（QoS）规定的情况下从云接收计算仍然面临挑战。在本文中，我们研究了使用边缘计算的计算卸载，这是一种将计算传递到移动用户附近的普及网络边缘的新范式。然而，如果没有强有力的激励措施，本地边缘服务器可能不愿意帮助卸载计算。为了激励云服务运营商和本地边缘服务器所有者参与计算卸载，我们将云服务运营方和边缘服务器所有者之间的交互表述为Stackelberg游戏，以通过获得最佳支付和计算卸载策略，最大化云服务运营和边缘服务器拥有者的效用。通过理论分析，我们证明了博弈保证达到唯一的纳什均衡。然后，我们设计了两种计算卸载算法，可以在低延迟和降低复杂性方面量化它们的效率。此外，我们通过考虑边缘服务器所有者动态加入或离开计算卸载来扩展我们的工作。数值结果表明，我们提出的算法在计算卸载方面表现良好，并有效地激励边缘服务器所有者为计算卸载做出贡献。

⛄ 部分代码

function [bs_income,uav_income,user_outcome] = stackelberg_price_determined(bs,uav,user,epoch)

global user_num uav_num bs_num D ...

relay_ok selected_uav_relay ...%need_bs need_uav

offload_bs offload_uav offload_relay selected_uav selected_bs

% global M_i M_j F_i m_i f_i

M_i = ones(bs_num,user_num); % price to the user i @bs

M_j = ones(bs_num,uav_num); % price to hire the uav j @bs

F_i = zeros(bs_num,user_num); % the resource allocate to the user i @bs

m_i = ones(uav_num,user_num); % price to the user i @uav

f_i = zeros(uav_num,user_num); % reource allocate to the user i @uav

[bs_income,uav_income,user_outcome] = deal(zeros(epoch,bs_num),zeros(epoch,uav_num),zeros(epoch,user_num));

[local,offload_bs,offload_uav,offload_relay]=deal(0.25*ones(user_num,1),0.25*ones(user_num,1),0.25*ones(user_num,1),0.25*ones(user_num,1)); % 卸载比例初始化

[at_local,to_bs,to_uav,by_relay] = deal(zeros(user_num,1),zeros(user_num,1),zeros(user_num,1),zeros(user_num,1));

relay_ok = zeros(bs_num,uav_num); % whether the uav choose to be relay for base station g

[selected_uav,selected_bs,selected_uav_relay] = deal(zeros(user_num,1),zeros(user_num,1),zeros(user_num,1));

[dis_user_uav,dis_uav_bs,dis_user_bs] = get_distance(uav,user,bs);

[Rate_i_g,Rate_i_j,Rate_j_g_i] = deal(ones(user_num,bs_num),ones(user_num,uav_num),ones(uav_num,bs_num));

[record_1,record_2,record_3,record_4] = deal(zeros(user_num,epoch),zeros(user_num,epoch),zeros(user_num,epoch),zeros(user_num,epoch));

%% The Data trans speed subject to the distance between the objects

for b = 1:bs_num

for i = 1:user_num

Rate_i_g(i,b) = 1000 / dis_user_bs(i,b);

end

for j = 1:uav_num

Rate_j_g_i(j,b) = 1000 / dis_uav_bs(j,b);

end

for i = 1:user_num

for j = 1:uav_num

Rate_i_j(i,j) = 1000 / dis_user_uav(i,j);

end

%% The User associate to the bs & uav nearby

for u = 1:user_num

[~,selected_bs(u)] = min(dis_user_bs(u,:));

[~,selected_uav(u)] = min(dis_user_uav(u,:));

selected_uav_relay(u) = selected_uav(u);

% need_bs(selected_bs(u)) = 1;need_uav(selected_uav(u)) = 1;

end

%% Game Iteration

for episode = 1:epoch

now = episode;

%% Game of Leader layer: Base station

for b = 1:bs_num

% alter the price for user i: M_i && the suitable resource: F_i

for i = 1:user_num

F_i(b,i) = (offload_bs(i)+offload_relay(i)) * D(i);

M_i(b,i) = 250;%D(i) / Rate_i_g(i,b);

end

% alter the price for uav j : M_j

for j = 1:uav_num

M_j(b,j) = 50 / Rate_j_g_i(j,b);

end

% compute the profit of the base station b

bs_income(episode,b) = utility_base_station(M_i(b,:),M_j(b,:),F_i(b,:),b);

end

%% Game of Vice-leader Layer : UAVs

for u = 1:uav_num

% alter the price for user i: m_i

for i = 1:user_num

f_i(u,i) = offload_uav(i) * D(i);

m_i(u,i) = 70;% D(i) / Rate_i_j(i,u);

end

% compute the profit of the uav j

uav_income(episode,u) = utility_uav(m_i(u,:),f_i(u,:),Rate_j_g_i(u,:),M_j(:,u),u);

end

%% Game of follower layer: Users

for i = 1:user_num

[at_local(i),to_bs(i),to_uav(i),by_relay(i)] = ...

utility_user(M_i(:,i),m_i(:,i),F_i(:,i),f_i(:,i),Rate_i_g,Rate_i_j,Rate_j_g_i,i);

% allocate the compute task

[local(i),offload_bs(i),offload_uav(i),offload_relay(i)] ...

= offload_allocate(at_local(i),to_bs(i),to_uav(i),by_relay(i),D,i);

[record_1(i,now),record_2(i,now),record_3(i,now),record_4(i,now)]=...

deal(local(i),offload_bs(i),offload_uav(i),offload_relay(i));

if offload_relay(i) ~= 0

relay_ok(selected_bs(i),selected_uav_relay(i)) = 1;

else

relay_ok(selected_bs(i),selected_uav_relay(i)) = 0;

end

user_outcome(episode,i) = ...

local(i) * at_local(i) + offload_bs(i) * to_bs(i) + offload_uav(i) * to_uav(i) + offload_relay(i) * by_relay(i);

end

save stackelberg_RL

end

⛄ 运行结果

⛄ 参考文献

[1] Yang L , Xu C , Zhan Y , et al. Incentive mechanism for computation offloading using edge computing: A Stackelberg game approach[J]. Computer Networks, 2017, 129(DEC.24):399-409.