Advanced Mathematics and Numerical Modeling of IoT

0.0

2.0

4.0

6.0

43,200 86,400 129,600 172,800 216,000 259,200

Time (s)

Task size

m1.small

m1.large

m1.xlarge

c1.xlarge c1.medium

m2.xlarge

m2.2xlarge

m2.4xlarge

To t a lT

×10^4

(a) Total execution time

0

2

4

6

8

Costs ($)

43,200 86,400 129,600 172,800 216,000259,200

Task size

0

5

10

15

20

25

m1.small

m1.large

m1.xlarge

c1.xlarge c1.medium

m2.xlarge

m2.2xlarge

m2.4xlarge

To t a lC

Costs ($): Total

C

(b) Costs

0.0

2.0

4.0

43,200 86,400 129,600 172,800 216,000 259,200

Time (s)

Task size

m1.small

m1.large

m1.xlarge

c1.medium

c1.xlarge

m2.xlarge

m2.2xlarge

m2.4xlarge

×10^4

(c) Failure time

0

2

1

5

4

3

Time (s)

43,200 86,400 129,600 172,800 216,000259,200

Task size

m1.small

m1.large

m1.xlarge

c1.medium

c1.xlarge

m2.xlarge

m2.2xlarge

m2.4xlarge

×10^3

(d) Rollback time

Figure 7: Simulation result in task distribution considering task processing rate.

43,200 86,400 129,600 172,800 216,000 259,200

0.0

0.5

1.0

1.5

2.0

0

1

2

3

4

5

Ta s k s i z e

Basic

Applying

m1.small

m1.large

m1.xlarge

c1.xlarge c1.medium

m2.xlarge

m2.2xlarge

m2.4xlarge

×10^7 ×10^6

Product (costs

×

time): basic and

Product (costs

×

time): each instance

applying

Figure 8: Comparison of combined metrics (total task execution time and cost).