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peculiaritiesresponse surface technologymulticriteria optimizationParallel optimization

multilevel optimizationtesting results

 

Comparative analysis with some well-known methods

 Comparative score:

 

Optimization methods having been tested

1

CONMIN Method of Feasible Directions – CONMIN

2

DONLP Sequential Quadratic Programming – DoNLP
3 EP Exterior Penalty
4 GRG Generalized Reduced Gradient Method (Lasdon)

5

Hooke Hooke-Jeeves

6

IOSO IOSO algorithm, version 1.3

7

MMFD Modified Method of Feasible Directions

8

MOST Mixed Integer – MOST

9

NLPQL Sequential Quadratic Programming – NLPQL

10

SAM Sequential Approximation Mehtod

11

SLP Sequential Linear Programming
Test optimization problems

(Sandgren, Eric. “The Utility of Nonlinear Programming Algorithms”, a thesis submitted for the Degree of Doctor of Philosophy, Purdue Univercity, 1977)

Problem Number of design variables Number of inequality constrains /(active) Number of equality constrains Description
1 5 10(3) 0  
2 3 2(1) 0 Design of a rectangular box
3 5 6(2)

0

 
4 4 0 0 4-D Rosenbrock function
5 2 0 0 2-D Rosenbrock function
6 6 0 4 Electrical network optimization
7 2 1(1) 0  
8 3 2(2) 0 Flywheel disk design
9 3 9(1) 0 Chemical reactor design

10

2

0

0

Gear train design

11

2

2(0)

0

Cam design

12

4

0

0

Assembly line tool path design

13

5

4(0)

0

Automotive transmission optimization

14

15

5(5)

0

 

15

16

0

8

 

16

3

14(1)

0

Process optimization

17

12

3(3)

0

Mutliphase chemical equilibrium calculation

18

7

14(5)

0

Alkylation process optimization

19

8

4(4)

0

Design of a reactor

20

8

6(6)

0

Design of a heat exchanger

21

13

13(11)

0

3-stage membrane separation process

23

7

4(2)

0

Prototype geometric programming problem

24

4

5(4)

0

Design of a welded beam structure

25

6

4(1)

0

Design of 4-bar linkage

26

3

0

1

Wirlpool design

27

48

0

2

Synthetic natural gas production

29

10

14(3)

1

Multi-spindle automatic lathe optimization

30

19

1(1)

11

Waste water treatment plan

 

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