Experiment design of wash-ing process

于航，姜伟，张博田益凡，郑奇威

Agenda • Motivation and object of the experiment• Selection of factors• Definition of response variable• Design of experiment • Analysis of experiment• Conclusion• Shortcomings and future extension

Motivation And Object

• Study the washing process and try to find the satisfied optimal settings of param-eters to make the washing process effi-cient and effective

Selection Of Factors• Held constant factors

• Category and amount of blots (black ink)• Category and amount of washing powders (DiaoPai)• Category of wash (cotton)• Dimension of wash (20×20mm)• Method of washing (marinating)

• Design factors• Quantity of water• Time• Initial temperature

Range And Levels Of Design Fac-torsNumber Factors Range Actual Levels Coded level Type of

Factor

1 Quantity of water

(600ml-1200ml)

600 900

1200

-10

+1

Quantitative

2 Time (10min-30min)

102030

-10

+1

Quantitative

3 Initial temperature

(20 -50 )℃ ℃ 20℃35℃50℃

-10

+1

Quantitative

Definition Of Response Vari-able

Unsatisfied Neutral

Satisfied

1 2 3 4 5 6 7 8 9

Design Of Experiment• Choice of design

• Response surface methodology• central composite design

• Number of replicates• Only one replicate is performed

Design Of Experiment(cont’d)number Temperatu

reWater quan-tity

Time(min)

A B C

1 20 600 10 -1 -1 -12 50 600 10 1 -1 -13 20 1200 10 -1 1 -14 50 1200 10 1 1 -15 20 600 30 -1 -1 16 50 600 30 1 -1 17 20 1200 30 -1 1 18 50 1200 30 1 1 19 10 900 20 -1.68179 0 0

10 60 900 20 1.68179 0 011 35 395 20 0 -1.68179 012 35 1405 20 0 1.68179 013 35 900 3 0 0 -1.6817914 35 900 37 0 0 1.68179 15 35 900 20 0 0 016 35 900 20 0 0 017 35 900 20 0 0 018 35 900 20 0 0 019 35 900 20 0 0 020 35 900 20 0 0 0

Experiment Implementation标准序 运行序 PtType 区组 A B C 效果

1 1 1 1 -1 -1 -1 12 2 1 1 1 -1 -1 53 3 1 1 -1 1 -1 14 4 1 1 1 1 -1 35 5 1 1 -1 -1 1 46 6 1 1 1 -1 1 77 7 1 1 -1 1 1 28 8 1 1 1 1 1 69 9 -1 1 -1.68179 0 0 1

10 10 -1 1 1.681793 0 0 711 11 -1 1 0 -1.68179 0 512 12 -1 1 0 1.681793 0 213 13 -1 1 0 0 -1.68179 114 14 -1 1 0 0 1.681793 615 15 0 1 0 0 0 416 16 0 1 0 0 0 317 17 0 1 0 0 0 418 18 0 1 0 0 0 419 19 0 1 0 0 0 520 20 0 1 0 0 0 4

Experiment Analysis

标准序 运行序 PtType 区组 A B C 效果（效果）变换

1 1 1 1 -1 -1 -1 1 1.002 2 1 1 1 -1 -1 5 2.243 3 1 1 -1 1 -1 1 1.004 4 1 1 1 1 -1 3 1.735 5 1 1 -1 -1 1 4 2.006 6 1 1 1 -1 1 7 2.657 7 1 1 -1 1 1 2 1.418 8 1 1 1 1 1 6 2.459 9 -1 1 -1.68179 0 0 1 1.00

10 10 -1 1 1.681793 0 0 7 2.6511 11 -1 1 0 -1.68179 0 5 2.2412 12 -1 1 0 1.681793 0 2 1.4113 13 -1 1 0 0 -1.68179 1 1.0014 14 -1 1 0 0 1.681793 6 2.4515 15 0 1 0 0 0 4 2.0016 16 0 1 0 0 0 3 1.7317 17 0 1 0 0 0 4 2.0018 18 0 1 0 0 0 4 2.0019 19 0 1 0 0 0 5 2.2420 20 0 1 0 0 0 4 2.00

Experiment Analysis

Experiment Analysis(cont’d)

Experiment Analysis(cont’d)

Experiment Analysis(cont’d)

Experiment Analysis(cont’d)

R^0.5=(1.86+0.47A-0.20B+0.36C)

Experiment Analysis(cont’d)

Experiment Analysis(cont’d)

Conclusion• In order to maximize the response variable, we need to:

• Maximize A• Minimize B• Maximize C

• However, the values of A, B and C should be within the feasible region, that is we also have to take other con-strains into our consideration:• High temperature can do damage to the clothes• Marinate too long may result in bad smell• Economy reasons

Shortcomings and future exten-sion• Shortcomings

• Without considering economical factors• Single blot• Simple evaluation system• Fixed ranges of parameters

• Future extension• Extend range of blots• Perfect the evaluation system• Extend the experiment parameter range

THANK YOU!