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mainRealCellLocation.m
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mainRealCellLocation.m
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clear all
load traceRealCellLocations.mat
numStates2D=20; %excluding state 0
centerCoordinate=[37.762 -122.43];
leftUserEachSlot = zeros(length(cellOfUsers(:,1)), 1);
totalUserEachSlot = zeros(length(cellOfUsers(:,1)), 1);
for user = 1:length(cellOfUsers(1,:))
prevCell = 0;
for slot = length(cellOfUsers(:,1)):-1:1
if cellOfUsers(slot, user) ~= 0
totalUserEachSlot(slot) = totalUserEachSlot(slot)+1;
end
if (prevCell ~= 0) && (slot < length(cellOfUsers(:,1))) && (cellOfUsers(slot, user) ~= prevCell)
leftUserEachSlot(slot+1) = leftUserEachSlot(slot+1) + 1;
end
prevCell = cellOfUsers(slot, user);
end
end
availResourceTransFactorStore=[];
availResourceMigrationFactorStore=[];
maxUserEachCloudStore=[];
numCellsWithCloudStore=[];
avrCostNeverMigrateStore=[];
avrCostAlwaysMigrateStore=[];
avrCostMyopicStore=[];
avrCostThPolicyStore=[];
stdCostNeverMigrateStore=[];
stdCostAlwaysMigrateStore=[];
stdCostMyopicStore=[];
stdCostThPolicyStore=[];
avrCostGainOverNeverMigrateStore=[];
avrCostGainOverAlwaysMigrateStore=[];
avrCostGainOverMyopicStore=[];
stdCostGainOverNeverMigrateStore=[];
stdCostGainOverAlwaysMigrateStore=[];
stdCostGainOverMyopicStore=[];
maxCostGainOverNeverMigrateStore=[];
maxCostGainOverAlwaysMigrateStore=[];
maxCostGainOverMyopicStore=[];
minCostGainOverNeverMigrateStore=[];
minCostGainOverAlwaysMigrateStore=[];
minCostGainOverMyopicStore=[];
avrFirstMigrationStateThPolicyStore=[];
stdFirstMigrationStateThPolicyStore=[];
maxFirstMigrationStateThPolicyStore=[];
minFirstMigrationStateThPolicyStore=[];
for availResourceTransFactor=1.5
for availResourceMigrationFactor=1.5
% for maxUserEachCloud=[10,20,30,50,70,100,150,200]
for maxUserEachCloud=50
% for numCellsWithCloud=[20,30,50,70,100,150,200]
for numCellsWithCloud=100
%Init for algorithm
gamma=0.9; %discount factor
powerFactor=0.8;
Use2D=1;
notUseValueIteration=1;
notUsePolicyIteration=1;
notFindActualValues=1;
proportionalFactorMigrateEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),1);
proportionalFactorTransEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),1);
constFactorMigrateEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),1);
constFactorTransEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),1);
actionsMyopicEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),numStates2DTotal);
actionsThPolicyEachTimeslot=zeros(length(numberOfUsersInCell(:,1)),numStates2D+1);
PEachSlot=zeros(numStates2D+1,numStates2D+1,length(numberOfUsersInCell(:,1)));
valuesThPolicyEachSlot=zeros(numStates2D+1,length(numberOfUsersInCell(:,1)));
for timeslot=length(numberOfUsersInCell(:,1)):-1:1 %timeslot in data is saved in reversed order
%1:length(numberOfUsersInCell(:,1))
P2D = 1 - leftUserEachSlot(timeslot)/totalUserEachSlot(timeslot);
%recalculate costs
maxUsers=max(totalUsers);
tmpAvailResourceTrans=availResourceTransFactor*maxUsers;
tmpAvailResourceMigrate=availResourceMigrationFactor*maxUsers;
%non-constant cost
proportionalFactorMigrate=-1/(1-totalUsers(timeslot)/(tmpAvailResourceTrans));
proportionalFactorTrans=-1/(1-totalUsers(timeslot)/(tmpAvailResourceTrans));
constFactorMigrate=1*1/(1-totalUsers(timeslot)/(tmpAvailResourceMigrate))-proportionalFactorMigrate;
constFactorTrans=0-proportionalFactorTrans;
%constant costs
% proportionalFactorMigrate=0;
% proportionalFactorTrans=0;
% constFactorMigrate=1*1/(1-totalUsers(timeslot)/(tmpAvailResourceMigrate));
% constFactorTrans=1/(1-totalUsers(timeslot)/(tmpAvailResourceTrans));
disp(['** get actions -- timeslot: ', num2str(timeslot), ' availResourceTransFactor=', num2str(availResourceTransFactor),...
' availResourceMigrationFactor=', num2str(availResourceMigrationFactor),...
' maxUserEachCloud=', num2str(maxUserEachCloud),...
' numCellsWithCloud=', num2str(numCellsWithCloud)])
supressOutput=1;
run([pwd, '/algorithms.m'])
if algReturn==1
return
end
PEachSlot(:,:,timeslot)=P;
valuesThPolicyEachSlot(:,timeslot)=valuesThPolicy;
%store data for current timeslot
proportionalFactorMigrateEachTimeslot(timeslot)=proportionalFactorMigrate;
proportionalFactorTransEachTimeslot(timeslot)=proportionalFactorTrans;
constFactorMigrateEachTimeslot(timeslot)=constFactorMigrate;
constFactorTransEachTimeslot(timeslot)=constFactorTrans;
actionsMyopicEachTimeslot(timeslot,:)=actionsMyopic; %No transpose here due to specification in algorithms.m
actionsThPolicyEachTimeslot(timeslot,:)=actionsThPolicy';
end
%% find actual cost from traces
%initialization
tmpStep=length(coordinatesCells2D(:,1))/numCellsWithCloud;
cellsWithCloud=zeros(length(coordinatesCells2D(:,1)),1); %if cell has cloud, value is 1, otherwise 0
i=tmpStep;
while(round(i)<=length(coordinatesCells2D(:,1)))
cellsWithCloud(round(i))=1;
i=i+tmpStep;
end
cellsWithCloudIndexes=find(cellsWithCloud==1);
serviceLocationNeverMigrate=zeros(1,length(cellOfUsers(1,:))); %if zero, service not placed; if vehicle shut off, then set service location to zero
serviceLocationAlwaysMigrate=zeros(1,length(cellOfUsers(1,:))); %if zero, service not placed; if vehicle shut off, then set service location to zero
serviceLocationMyopic=zeros(1,length(cellOfUsers(1,:))); %if zero, service not placed; if vehicle shut off, then set service location to zero
serviceLocationThPolicy=zeros(1,length(cellOfUsers(1,:))); %if zero, service not placed; if vehicle shut off, then set service location to zero
traceOneTimeslotCostNeverMigrate=zeros(length(numberOfUsersInCell(:,1)), length(cellOfUsers(1,:)));
traceOneTimeslotCostAlwaysMigrate=zeros(length(numberOfUsersInCell(:,1)), length(cellOfUsers(1,:)));
traceOneTimeslotCostMyopic=zeros(length(numberOfUsersInCell(:,1)), length(cellOfUsers(1,:)));
traceOneTimeslotCostThPolicy=zeros(length(numberOfUsersInCell(:,1)), length(cellOfUsers(1,:)));
numUsersEachCloudNeverMigrate=zeros(length(numberOfUsersInCell(:,1)),length(coordinatesCells2D(:,1)));
numUsersEachCloudAlwaysMigrate=zeros(length(numberOfUsersInCell(:,1)),length(coordinatesCells2D(:,1)));
numUsersEachCloudMyopic=zeros(length(numberOfUsersInCell(:,1)),length(coordinatesCells2D(:,1)));
numUsersEachCloudThPolicy=zeros(length(numberOfUsersInCell(:,1)),length(coordinatesCells2D(:,1)));
for timeslot=length(numberOfUsersInCell(:,1)):-1:1
disp(['** get costs -- timeslot: ', num2str(timeslot), ' availResourceTransFactor=', num2str(availResourceTransFactor),...
' availResourceMigrationFactor=', num2str(availResourceMigrationFactor),...
' maxUserEachCloud=', num2str(maxUserEachCloud),...
' numCellsWithCloud=', num2str(numCellsWithCloud)])
%% find migration locations
tmpMigrateToCellNeverMigrate=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellAlwaysMigrate=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellMyopic=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellThPolicy=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellNeverMigrateOrig=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellAlwaysMigrateOrig=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellMyopicOrig=zeros(length(cellOfUsers(1,:)),1);
tmpMigrateToCellThPolicyOrig=zeros(length(cellOfUsers(1,:)),1);
for i=1:length(cellOfUsers(1,:))
if cellOfUsers(timeslot,i)~=0
%% never migrate except at border
tmpPrevLocationIndex=serviceLocationNeverMigrate(i);
if serviceLocationNeverMigrate(i)==0 %service initialization
tmpMigrateToCell=cellOfUsers(timeslot,i);
tmpMigrateToCellNeverMigrateOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (initialization) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
else
tmpNorm1=norm(coordinatesCells2D(cellOfUsers(timeslot,i),:)-coordinatesCells2D(serviceLocationNeverMigrate(i),:))/cellDist;
if abs(tmpNorm1-round(tmpNorm1))<0.00000001
tmpNorm1=round(tmpNorm1);
else
tmpNorm1=ceil(tmpNorm1);
end
if tmpNorm1>=numStates2D
tmpMigrateToCell=cellOfUsers(timeslot,i);
else
tmpMigrateToCell=serviceLocationNeverMigrate(i);
end
tmpMigrateToCellNeverMigrateOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (migration, SPECIFIC FOR NEVER/ALWAYS MIGRATE) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
end
tmpMigrateToCellNeverMigrate(i)=tmpMigrateToCell;
%% always migrate
tmpPrevLocationIndex=serviceLocationAlwaysMigrate(i);
if serviceLocationAlwaysMigrate(i)==0
tmpMigrateToCell=cellOfUsers(timeslot,i);
tmpMigrateToCellAlwaysMigrateOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (initialization) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
else
tmpMigrateToCell=cellOfUsers(timeslot,i);
tmpMigrateToCellAlwaysMigrateOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (migration, SPECIFIC FOR NEVER/ALWAYS MIGRATE) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
end
tmpMigrateToCellAlwaysMigrate(i)=tmpMigrateToCell;
%% myopic
tmpPrevLocationIndex=serviceLocationMyopic(i);
if serviceLocationMyopic(i)==0
tmpMigrateToCell=cellOfUsers(timeslot,i);
tmpMigrateToCellMyopicOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (initialization) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
else
tmpOffset=dsearchn(coordinatesCells2D,centerCoordinate+coordinatesCells2D(cellOfUsers(timeslot,i),:)-coordinatesCells2D(serviceLocationMyopic(i),:));
if tmpOffset==1 %state zero
tmpNewLocationCoordinate=coordinatesCells2D(cellOfUsers(timeslot,i),:);
else
tmpNewLocationCoordinate=coordinatesCells2D(cellOfUsers(timeslot,i),:)-(coordinatesCells2D(actionsMyopicEachTimeslot(timeslot,tmpOffset),:)-centerCoordinate);
end
tmpMigrateToCell = dsearchn(coordinatesCells2D,tmpNewLocationCoordinate);
tmpMigrateToCellMyopicOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (migration, SPECIFIC FOR MYOPIC) **
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(cellOfUsers(timeslot,i),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
cellsWithCloudIndexesSub=cellsWithCloudIndexes(tmpDist1<numStates2D); %only consider less than numStates2D hops from the user
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(tmpPrevLocationIndex,:);
tmpDiff2=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(cellOfUsers(timeslot,i),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpCost1=constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1;
tmpCost2=constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2;
tmpCostForDistMin=tmpCost1.*(cellsWithCloudIndexesSub~=tmpPrevLocationIndex)...
+ tmpCost2.*(cellOfUsers(timeslot,i)~=cellsWithCloudIndexesSub);
[~,tmpDistMinIndex]=min(tmpCostForDistMin);
tmpMigrateToCell=cellsWithCloudIndexesSub(tmpDistMinIndex);
%****
end
tmpMigrateToCellMyopic(i)=tmpMigrateToCell;
%% modified policy iteration
tmpPrevLocationIndex=serviceLocationThPolicy(i);
if serviceLocationThPolicy(i)==0
tmpMigrateToCell=cellOfUsers(timeslot,i);
tmpMigrateToCellThPolicyOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (initialization) **
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCell,:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistMinIndex]=min(tmpDist);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
else
tmpNorm1=norm(coordinatesCells2D(cellOfUsers(timeslot,i),:)-coordinatesCells2D(serviceLocationThPolicy(i),:))/cellDist;
if abs(tmpNorm1-round(tmpNorm1))<0.00000001
tmpNorm1=round(tmpNorm1);
else
tmpNorm1=ceil(tmpNorm1);
end
if tmpNorm1==0
tmpNewLocationCoordinate=coordinatesCells2D(cellOfUsers(timeslot,i),:);
else
tmpNewLocationCoordinate=(coordinatesCells2D(cellOfUsers(timeslot,i),:)-coordinatesCells2D(serviceLocationThPolicy(i),:))*...
(1-(actionsThPolicyEachTimeslot(timeslot,min(tmpNorm1,numStates2D)+1)-1)/tmpNorm1)+coordinatesCells2D(serviceLocationThPolicy(i),:);
end
tmpMigrateToCell = dsearchn(coordinatesCells2D,tmpNewLocationCoordinate);
tmpMigrateToCellThPolicyOrig(i)=tmpMigrateToCell;
%** block for finding closest cell with cloud (migration, SPECIFIC FOR PROPOSED) **
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpPrevLocationIndex,:);
tmpDiff2=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(cellOfUsers(timeslot,i),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpDist2=min(tmpDist2,numStates2D); %neglect distances larger than numStates2D, may need to CHANGE later
tmpCostForDistMin=(constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1).*(cellsWithCloudIndexes~=tmpPrevLocationIndex)...
+ (constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2).*(cellOfUsers(timeslot,i)~=cellsWithCloudIndexes)...
+gamma*PEachSlot(tmpDist2+1,:,timeslot)*valuesThPolicyEachSlot(:,timeslot);
[~,tmpDistMinIndex]=min(tmpCostForDistMin);
tmpMigrateToCell=cellsWithCloudIndexes(tmpDistMinIndex);
%****
end
tmpMigrateToCellThPolicy(i)=tmpMigrateToCell;
end
end
%% find number of users in each cloud
for i=1:length(coordinatesCells2D(:,1))
for j=1:4
if j==1
numUsersEachCloudNeverMigrate(timeslot,i)=length(find(tmpMigrateToCellNeverMigrate==i));
elseif j==2
numUsersEachCloudAlwaysMigrate(timeslot,i)=length(find(tmpMigrateToCellAlwaysMigrate==i));
elseif j==3
numUsersEachCloudMyopic(timeslot,i)=length(find(tmpMigrateToCellMyopic==i));
elseif j==4
numUsersEachCloudThPolicy(timeslot,i)=length(find(tmpMigrateToCellThPolicy==i));
end
end
end
%% find and reassign users exceeding cloud capacity
for j=1:4
if j==1 %never migrate
tmpExceedIndex=find(numUsersEachCloudNeverMigrate(timeslot,:)>maxUserEachCloud);
for i=tmpExceedIndex
tmpUsersInExceedingCloud=find(tmpMigrateToCellNeverMigrate==i);
%plug in cost function here
tmpDiff=coordinatesCells2D(tmpMigrateToCellNeverMigrateOrig(tmpUsersInExceedingCloud),:)-coordinatesCells2D(tmpMigrateToCellNeverMigrate(tmpUsersInExceedingCloud),:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~,tmpSortedIndexes]=sort(tmpDist,'descend'); %try to remove those with largest cost
tmpNumUsersToGoOut=numUsersEachCloudNeverMigrate(timeslot,i)-maxUserEachCloud;
for k=1:tmpNumUsersToGoOut
tmpUserIndex=tmpUsersInExceedingCloud(tmpSortedIndexes(k));
%plug in cost function here
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCellNeverMigrateOrig(tmpUserIndex),:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistSortIndex]=sort(tmpDist); %try to place in first cloud (with lowest cost) that still has space
tmpFound=0;
for l=1:length(tmpDistSortIndex);
if numUsersEachCloudNeverMigrate(timeslot,cellsWithCloudIndexes(l))<maxUserEachCloud
tmpFound=1;
tmpMigrateToCellNeverMigrate(tmpUserIndex)=cellsWithCloudIndexes(l);
numUsersEachCloudNeverMigrate(timeslot,cellsWithCloudIndexes(l))=numUsersEachCloudNeverMigrate(timeslot,cellsWithCloudIndexes(l))+1;
numUsersEachCloudNeverMigrate(timeslot,i)=numUsersEachCloudNeverMigrate(timeslot,i)-1;
break
end
end
if tmpFound==0
disp('ERROR: infeasible assignment: never migrate')
return
end
end
end
elseif j==2 %always migrate
tmpExceedIndex=find(numUsersEachCloudAlwaysMigrate(timeslot,:)>maxUserEachCloud);
for i=tmpExceedIndex
tmpUsersInExceedingCloud=find(tmpMigrateToCellAlwaysMigrate==i);
%plug in cost function here
tmpDiff=coordinatesCells2D(tmpMigrateToCellAlwaysMigrateOrig(tmpUsersInExceedingCloud),:)-coordinatesCells2D(tmpMigrateToCellAlwaysMigrate(tmpUsersInExceedingCloud),:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~,tmpSortedIndexes]=sort(tmpDist,'descend'); %try to remove those with largest cost
tmpNumUsersToGoOut=numUsersEachCloudAlwaysMigrate(timeslot,i)-maxUserEachCloud;
for k=1:tmpNumUsersToGoOut
tmpUserIndex=tmpUsersInExceedingCloud(tmpSortedIndexes(k));
%plug in cost function here
tmpDiff=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(tmpMigrateToCellAlwaysMigrateOrig(tmpUserIndex),:);
tmpDist=tmpDiff(:,1).^2+tmpDiff(:,2).^2;
[~, tmpDistSortIndex]=sort(tmpDist); %try to place in first cloud (with lowest cost) that still has space
tmpFound=0;
for l=1:length(tmpDistSortIndex);
if numUsersEachCloudAlwaysMigrate(timeslot,cellsWithCloudIndexes(l))<maxUserEachCloud
tmpFound=1;
tmpMigrateToCellAlwaysMigrate(tmpUserIndex)=cellsWithCloudIndexes(l);
numUsersEachCloudAlwaysMigrate(timeslot,cellsWithCloudIndexes(l))=numUsersEachCloudAlwaysMigrate(timeslot,cellsWithCloudIndexes(l))+1;
numUsersEachCloudAlwaysMigrate(timeslot,i)=numUsersEachCloudAlwaysMigrate(timeslot,i)-1;
break
end
end
if tmpFound==0
disp('ERROR: infeasible assignment: always migrate')
return
end
end
end
elseif j==3 %myopic
tmpExceedIndex=find(numUsersEachCloudMyopic(timeslot,:)>maxUserEachCloud);
for i=tmpExceedIndex
tmpUsersInExceedingCloud=find(tmpMigrateToCellMyopic==i);
%plug in cost function here
tmpDiff1=zeros(length(tmpUsersInExceedingCloud),2);
tmpDiff1NonZeroIndexes=find(serviceLocationMyopic(tmpUsersInExceedingCloud)~=0);
tmpDiff1(tmpDiff1NonZeroIndexes,:)=coordinatesCells2D(tmpMigrateToCellMyopic(tmpUsersInExceedingCloud(tmpDiff1NonZeroIndexes)),:)-coordinatesCells2D(serviceLocationMyopic(tmpUsersInExceedingCloud(tmpDiff1NonZeroIndexes)),:);
tmpDiff2=coordinatesCells2D(tmpMigrateToCellMyopic(tmpUsersInExceedingCloud),:)-coordinatesCells2D(cellOfUsers(timeslot,tmpUsersInExceedingCloud),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpCost1=constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1;
tmpCost2=constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2;
tmpCostForDistMin=tmpCost1.*(tmpMigrateToCellMyopic(tmpUsersInExceedingCloud)~=serviceLocationMyopic(tmpUsersInExceedingCloud)')...
+ tmpCost2.*(cellOfUsers(timeslot,tmpUsersInExceedingCloud)'~=tmpMigrateToCellMyopic(tmpUsersInExceedingCloud));
[~,tmpSortedIndexes]=sort(tmpCostForDistMin,'descend'); %try to remove those with largest cost
%end cost function
tmpNumUsersToGoOut=numUsersEachCloudMyopic(timeslot,i)-maxUserEachCloud;
for k=1:tmpNumUsersToGoOut
tmpUserIndex=tmpUsersInExceedingCloud(tmpSortedIndexes(k));
%plug in cost function here
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(cellOfUsers(timeslot,tmpUserIndex),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
cellsWithCloudIndexesSub=cellsWithCloudIndexes(tmpDist1<numStates2D); %only consider less than numStates2D hops from the user
if serviceLocationMyopic(tmpUserIndex)==0
tmpDiff1=ones(length(cellsWithCloudIndexesSub),1)*[0,0];
else
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(serviceLocationMyopic(tmpUserIndex),:);
end
tmpDiff2=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(cellOfUsers(timeslot,tmpUserIndex),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpCost1=constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1;
tmpCost2=constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2;
tmpCostForDistMin=tmpCost1.*(cellsWithCloudIndexesSub~=serviceLocationMyopic(tmpUserIndex)')...
+ tmpCost2.*(cellOfUsers(timeslot,tmpUserIndex)'~=cellsWithCloudIndexesSub);
[~, tmpDistSortIndex]=sort(tmpCostForDistMin); %try to place in first cloud (with lowest cost) that still has space
%end cost function
tmpFound=0;
for l=1:length(tmpDistSortIndex);
if numUsersEachCloudMyopic(timeslot,cellsWithCloudIndexes(l))<maxUserEachCloud
tmpFound=1;
tmpMigrateToCellMyopic(tmpUserIndex)=cellsWithCloudIndexes(l);
numUsersEachCloudMyopic(timeslot,cellsWithCloudIndexes(l))=numUsersEachCloudMyopic(timeslot,cellsWithCloudIndexes(l))+1;
numUsersEachCloudMyopic(timeslot,i)=numUsersEachCloudMyopic(timeslot,i)-1;
break
end
end
if tmpFound==0
disp('ERROR: infeasible assignment: myopic')
return
end
end
end
elseif j==4 %proposed
tmpExceedIndex=find(numUsersEachCloudThPolicy(timeslot,:)>maxUserEachCloud);
for i=tmpExceedIndex
tmpUsersInExceedingCloud=find(tmpMigrateToCellThPolicy==i);
%plug in cost function here
tmpDiff1=zeros(length(tmpUsersInExceedingCloud),2);
tmpDiff1NonZeroIndexes=find(serviceLocationThPolicy(tmpUsersInExceedingCloud)~=0);
tmpDiff1(tmpDiff1NonZeroIndexes,:)=coordinatesCells2D(tmpMigrateToCellThPolicy(tmpUsersInExceedingCloud(tmpDiff1NonZeroIndexes)),:)-coordinatesCells2D(serviceLocationThPolicy(tmpUsersInExceedingCloud(tmpDiff1NonZeroIndexes)),:);
tmpDiff2=coordinatesCells2D(tmpMigrateToCellThPolicy(tmpUsersInExceedingCloud),:)-coordinatesCells2D(cellOfUsers(timeslot,tmpUsersInExceedingCloud),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpDist2=min(tmpDist2,numStates2D); %neglect distances larger than numStates2D, may need to CHANGE later
tmpCost1=constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1;
tmpCost2=constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2;
tmpCostForDistMin=tmpCost1.*(tmpMigrateToCellThPolicy(tmpUsersInExceedingCloud)~=serviceLocationThPolicy(tmpUsersInExceedingCloud)')...
+ tmpCost2.*(cellOfUsers(timeslot,tmpUsersInExceedingCloud)'~=tmpMigrateToCellThPolicy(tmpUsersInExceedingCloud))...
+gamma*PEachSlot(tmpDist2+1,:,timeslot)*valuesThPolicyEachSlot(:,timeslot);
[~,tmpSortedIndexes]=sort(tmpCostForDistMin,'descend'); %try to remove those with largest cost
%end cost function
tmpNumUsersToGoOut=numUsersEachCloudThPolicy(timeslot,i)-maxUserEachCloud;
for k=1:tmpNumUsersToGoOut
tmpUserIndex=tmpUsersInExceedingCloud(tmpSortedIndexes(k));
%plug in cost function here
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexes,:)-ones(length(cellsWithCloudIndexes),1)*coordinatesCells2D(cellOfUsers(timeslot,tmpUserIndex),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
cellsWithCloudIndexesSub=cellsWithCloudIndexes(tmpDist1<numStates2D); %only consider less than numStates2D hops from the user
if serviceLocationThPolicy(tmpUserIndex)==0
tmpDiff1=ones(length(cellsWithCloudIndexesSub),1)*[0,0];
else
tmpDiff1=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(serviceLocationThPolicy(tmpUserIndex),:);
end
tmpDiff2=coordinatesCells2D(cellsWithCloudIndexesSub,:)-ones(length(cellsWithCloudIndexesSub),1)*coordinatesCells2D(cellOfUsers(timeslot,tmpUserIndex),:);
tmpDist1=sqrt(tmpDiff1(:,1).^2+tmpDiff1(:,2).^2)/cellDist;
tmpDist2=sqrt(tmpDiff2(:,1).^2+tmpDiff2(:,2).^2)/cellDist;
tmpAbs=abs(tmpDist1-round(tmpDist1));
tmpDist1=(tmpAbs<0.00000001).*round(tmpDist1)+(tmpAbs>=0.00000001).*ceil(tmpDist1);
tmpAbs=abs(tmpDist2-round(tmpDist2));
tmpDist2=(tmpAbs<0.00000001).*round(tmpDist2)+(tmpAbs>=0.00000001).*ceil(tmpDist2);
tmpDist2=min(tmpDist2,numStates2D); %neglect distances larger than numStates2D, may need to CHANGE later
tmpCost1=constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor.^tmpDist1;
tmpCost2=constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor.^tmpDist2;
tmpCostForDistMin=tmpCost1.*(cellsWithCloudIndexesSub~=serviceLocationThPolicy(tmpUserIndex)')...
+ tmpCost2.*(cellOfUsers(timeslot,tmpUserIndex)'~=cellsWithCloudIndexesSub)...
+gamma*PEachSlot(tmpDist2+1,:,timeslot)*valuesThPolicyEachSlot(:,timeslot);
[~, tmpDistSortIndex]=sort(tmpCostForDistMin); %try to place in first cloud (with lowest cost) that still has space
%end cost function
tmpFound=0;
for l=1:length(tmpDistSortIndex);
if numUsersEachCloudThPolicy(timeslot,cellsWithCloudIndexes(l))<maxUserEachCloud
tmpFound=1;
tmpMigrateToCellThPolicy(tmpUserIndex)=cellsWithCloudIndexes(l);
numUsersEachCloudThPolicy(timeslot,cellsWithCloudIndexes(l))=numUsersEachCloudThPolicy(timeslot,cellsWithCloudIndexes(l))+1;
numUsersEachCloudThPolicy(timeslot,i)=numUsersEachCloudThPolicy(timeslot,i)-1;
break
end
end
if (tmpFound==0)
disp('ERROR: infeasible assignment: proposed')
return
end
end
end
end
end
%% find costs
for i=1:length(cellOfUsers(1,:))
if cellOfUsers(timeslot,i)==0
serviceLocationNeverMigrate(i)=0;
serviceLocationAlwaysMigrate(i)=0;
serviceLocationMyopic(i)=0;
serviceLocationThPolicy(i)=0;
traceOneTimeslotCostNeverMigrate(timeslot,i)=0;
traceOneTimeslotCostAlwaysMigrate(timeslot,i)=0;
traceOneTimeslotCostMyopic(timeslot,i)=0;
traceOneTimeslotCostThPolicy(timeslot,i)=0;
else
for j=1:4
if j==1
tmpPrevLocationIndex=serviceLocationNeverMigrate(i);
tmpMigrateToCell=tmpMigrateToCellNeverMigrate(i);
elseif j==2
tmpPrevLocationIndex=serviceLocationAlwaysMigrate(i);
tmpMigrateToCell=tmpMigrateToCellAlwaysMigrate(i);
elseif j==3
tmpPrevLocationIndex=serviceLocationMyopic(i);
tmpMigrateToCell=tmpMigrateToCellMyopic(i);
elseif j==4
tmpPrevLocationIndex=serviceLocationThPolicy(i);
tmpMigrateToCell=tmpMigrateToCellThPolicy(i);
end
%** block for cost calculation **
if tmpPrevLocationIndex==0
tmpNorm1=0;
else
tmpNorm1=norm(coordinatesCells2D(tmpMigrateToCell,:)-coordinatesCells2D(tmpPrevLocationIndex,:))/cellDist;
if abs(tmpNorm1-round(tmpNorm1))<0.00000001
tmpNorm1=round(tmpNorm1);
else
tmpNorm1=ceil(tmpNorm1);
end
end
tmpNorm2=norm(coordinatesCells2D(cellOfUsers(timeslot,i),:)-coordinatesCells2D(tmpMigrateToCell,:))/cellDist;
if abs(tmpNorm2-round(tmpNorm2))<0.00000001
tmpNorm2=round(tmpNorm2);
else
tmpNorm2=ceil(tmpNorm2);
end
tmpCost=(constFactorMigrateEachTimeslot(timeslot)+proportionalFactorMigrateEachTimeslot(timeslot)*powerFactor^tmpNorm1)*(tmpMigrateToCell~=tmpPrevLocationIndex)...
+ (constFactorTransEachTimeslot(timeslot)+proportionalFactorTransEachTimeslot(timeslot)*powerFactor^tmpNorm2)*(cellOfUsers(timeslot,i)~=tmpMigrateToCell);
%****
if j==1
traceOneTimeslotCostNeverMigrate(timeslot,i)=tmpCost;
serviceLocationNeverMigrate(i)=tmpMigrateToCell;
elseif j==2
traceOneTimeslotCostAlwaysMigrate(timeslot,i)=tmpCost;
serviceLocationAlwaysMigrate(i)=tmpMigrateToCell;
elseif j==3
traceOneTimeslotCostMyopic(timeslot,i)=tmpCost;
serviceLocationMyopic(i)=tmpMigrateToCell;
elseif j==4
traceOneTimeslotCostThPolicy(timeslot,i)=tmpCost;
serviceLocationThPolicy(i)=tmpMigrateToCell;
end
end
end
end
end
availResourceTransFactorStore=[availResourceTransFactorStore; availResourceTransFactor];
availResourceMigrationFactorStore=[availResourceMigrationFactorStore; availResourceMigrationFactor];
maxUserEachCloudStore=[maxUserEachCloudStore, maxUserEachCloud];
numCellsWithCloudStore=[numCellsWithCloudStore, numCellsWithCloud];
avrCostNeverMigrateStore=[avrCostNeverMigrateStore; mean(sum(traceOneTimeslotCostNeverMigrate,2)./totalUsers)];
avrCostAlwaysMigrateStore=[avrCostAlwaysMigrateStore; mean(sum(traceOneTimeslotCostAlwaysMigrate,2)./totalUsers)];
avrCostMyopicStore=[avrCostMyopicStore; mean(sum(traceOneTimeslotCostMyopic,2)./totalUsers)];
avrCostThPolicyStore=[avrCostThPolicyStore; mean(sum(traceOneTimeslotCostThPolicy,2)./totalUsers)];
stdCostNeverMigrateStore=[stdCostNeverMigrateStore; std(sum(traceOneTimeslotCostNeverMigrate,2)./totalUsers)];
stdCostAlwaysMigrateStore=[stdCostAlwaysMigrateStore; std(sum(traceOneTimeslotCostAlwaysMigrate,2)./totalUsers)];
stdCostMyopicStore=[stdCostMyopicStore; std(sum(traceOneTimeslotCostMyopic,2)./totalUsers)];
stdCostThPolicyStore=[stdCostThPolicyStore; std(sum(traceOneTimeslotCostThPolicy,2)./totalUsers)];
tmpGainOverNeverMigrate=sum(traceOneTimeslotCostThPolicy,2)./sum(traceOneTimeslotCostNeverMigrate,2);
tmpGainOverAlwaysMigrate=sum(traceOneTimeslotCostThPolicy,2)./sum(traceOneTimeslotCostAlwaysMigrate,2);
tmpGainOverMyopic=sum(traceOneTimeslotCostThPolicy,2)./sum(traceOneTimeslotCostMyopic,2);
tmpGainOverNeverMigrate(isnan(tmpGainOverNeverMigrate))=[];
tmpGainOverAlwaysMigrate(isnan(tmpGainOverAlwaysMigrate))=[];
tmpGainOverMyopic(isnan(tmpGainOverMyopic))=[];
avrCostGainOverNeverMigrateStore=[avrCostGainOverNeverMigrateStore; mean(tmpGainOverNeverMigrate)];
avrCostGainOverAlwaysMigrateStore=[avrCostGainOverAlwaysMigrateStore; mean(tmpGainOverAlwaysMigrate)];
avrCostGainOverMyopicStore=[avrCostGainOverMyopicStore; mean(tmpGainOverMyopic)];
stdCostGainOverNeverMigrateStore=[stdCostGainOverNeverMigrateStore; std(tmpGainOverNeverMigrate)];
stdCostGainOverAlwaysMigrateStore=[stdCostGainOverAlwaysMigrateStore; std(tmpGainOverAlwaysMigrate)];
stdCostGainOverMyopicStore=[stdCostGainOverMyopicStore; std(tmpGainOverMyopic)];
maxCostGainOverNeverMigrateStore=[maxCostGainOverNeverMigrateStore; max(tmpGainOverNeverMigrate)];
maxCostGainOverAlwaysMigrateStore=[maxCostGainOverAlwaysMigrateStore; max(tmpGainOverAlwaysMigrate)];
maxCostGainOverMyopicStore=[maxCostGainOverMyopicStore; max(tmpGainOverMyopic)];
minCostGainOverNeverMigrateStore=[minCostGainOverNeverMigrateStore; min(tmpGainOverNeverMigrate)];
minCostGainOverAlwaysMigrateStore=[minCostGainOverAlwaysMigrateStore; min(tmpGainOverAlwaysMigrate)];
minCostGainOverMyopicStore=[minCostGainOverMyopicStore; min(tmpGainOverMyopic)];
tmpFirstMigratesVector=zeros(length(numberOfUsersInCell(:,1)),1);
for timeslot=1:length(numberOfUsersInCell(:,1))
tmpFirstMigratesVector(timeslot)=find(actionsThPolicyEachTimeslot(timeslot,:)<[1:numStates2D+1],1)-1;
end
avrFirstMigrationStateThPolicyStore=[avrFirstMigrationStateThPolicyStore; mean(tmpFirstMigratesVector)];
stdFirstMigrationStateThPolicyStore=[stdFirstMigrationStateThPolicyStore; std(tmpFirstMigratesVector)];
maxFirstMigrationStateThPolicyStore=[maxFirstMigrationStateThPolicyStore; max(tmpFirstMigratesVector)];
minFirstMigrationStateThPolicyStore=[minFirstMigrationStateThPolicyStore; min(tmpFirstMigratesVector)];
disp(['availResourceTransFactorStore ', num2str(availResourceTransFactorStore')])
disp(['availResourceMigrationFactorStore ', num2str(availResourceMigrationFactorStore')])
disp(['avrCostGainOverNeverMigrateStore ', num2str(avrCostGainOverNeverMigrateStore')])
disp(['avrCostGainOverAlwaysMigrateStore ', num2str(avrCostGainOverAlwaysMigrateStore')])
disp(['avrCostGainOverMyopicStore ', num2str(avrCostGainOverMyopicStore')])
disp(['stdCostGainOverNeverMigrateStore ', num2str(stdCostGainOverNeverMigrateStore')])
disp(['stdCostGainOverAlwaysMigrateStore ', num2str(stdCostGainOverAlwaysMigrateStore')])
disp(['stdCostGainOverMyopicStore ', num2str(stdCostGainOverMyopicStore')])
disp(['maxCostGainOverNeverMigrateStore ', num2str(maxCostGainOverNeverMigrateStore')])
disp(['maxCostGainOverAlwaysMigrateStore ', num2str(maxCostGainOverAlwaysMigrateStore')])
disp(['maxCostGainOverMyopicStore ', num2str(maxCostGainOverMyopicStore')])
disp(['minCostGainOverNeverMigrateStore ', num2str(minCostGainOverNeverMigrateStore')])
disp(['minCostGainOverAlwaysMigrateStore ', num2str(minCostGainOverAlwaysMigrateStore')])
disp(['minCostGainOverMyopicStore ', num2str(minCostGainOverMyopicStore')])
disp(['avrFirstMigrationStateThPolicyStore ', num2str(avrFirstMigrationStateThPolicyStore')])
disp(['stdFirstMigrationStateThPolicyStore ', num2str(stdFirstMigrationStateThPolicyStore')])
disp(['maxFirstMigrationStateThPolicyStore ', num2str(maxFirstMigrationStateThPolicyStore')])
disp(['minFirstMigrationStateThPolicyStore ', num2str(minFirstMigrationStateThPolicyStore')])
disp('')
end
end
end
end
xPointsEpochs=timeMax:-updateTimeStep:timeMin;
tmp=datevec((xPointsEpochs-8*3600)./86400 + datenum(1970,1,1));
xPoints=datenum(tmp);
figure(1)
plot(xPoints,sum(traceOneTimeslotCostNeverMigrate,2)./totalUsers,'k',xPoints,sum(traceOneTimeslotCostAlwaysMigrate,2)./totalUsers,'g',...
xPoints,sum(traceOneTimeslotCostMyopic,2)./totalUsers,'b',xPoints,sum(traceOneTimeslotCostThPolicy,2)./totalUsers,'r',...
xPoints,ones(1,length(xPoints))*mean(sum(traceOneTimeslotCostNeverMigrate,2)./totalUsers),'--k',xPoints,ones(1,length(xPoints))*mean(sum(traceOneTimeslotCostAlwaysMigrate,2)./totalUsers),'--g',...
xPoints,ones(1,length(xPoints))*mean(sum(traceOneTimeslotCostMyopic,2)./totalUsers),'--b',xPoints,ones(1,length(xPoints))*mean(sum(traceOneTimeslotCostThPolicy,2)./totalUsers),'--r')
legend('Never Migrate (A)','Always Migrate (B)','Myopic (C)','Proposed (D)','(Average values)')
xlabel('Time','FontSize',12)
ylabel('Instantaneous cost','FontSize',12)
datetick('x','HH:MM');
figure(2)
plot([xPoints(1), xPoints(end)] ,[1,1]*mean(sum(traceOneTimeslotCostNeverMigrate,2)./totalUsers),'--k',[xPoints(1), xPoints(end)],[1,1]*mean(sum(traceOneTimeslotCostAlwaysMigrate,2)./totalUsers),'--g',...
[xPoints(1), xPoints(end)],[1,1]*mean(sum(traceOneTimeslotCostMyopic,2)./totalUsers),'--b',[xPoints(1), xPoints(end)],[1,1]*mean(sum(traceOneTimeslotCostThPolicy,2)./totalUsers),'--r')
datetick('x','HH:MM');