AppendixAchievement function:min lX

Appendix
Achievement function:
min l
Xn
i ¼ 1
Xc
j ¼ 1
ðnijþpijÞþð1lÞD
s.t.
goals:
1w1 þ0:212w2 þ0:996w3 þn11p11 ¼ 1
0:578w1 þ0w2 þ1w3 þn21p21 ¼ 0:578
0:524w1 þ0:446w2 þ0:460w3 þn31p31 ¼ 0:524
0:455w1 þ0:785w2 þ0:200w3 þn41p41 ¼ 0:455
0:418w1 þ0:650w2 þ0:401w3 þn51p51 ¼ 0:418
0:404w1 þ1w2 þ0:069w3 þn61p61 ¼ 0:404
0:298w1 þ0:845w2 þ0:355w3 þn71p71 ¼ 0:298
0w1 þ0:790w2 þ0w3 þn81p81 ¼ 0
1w1 þ0:212w2 þ0:996w3 þn12p12 ¼ 0:212
0:578w1 þ0w2 þ1w3 þn22p22 ¼ 0
0:524w1 þ0:446w2 þ0:460w3 þn32p32 ¼ 0:446
0:455w1 þ0:785w2 þ0:200w3 þn42p42 ¼ 0:785
0:418w1 þ0:650w2 þ0:401w3 þn52p52 ¼ 0:650
0:404w1 þ1w2 þ0:069w3 þn62p62 ¼ 1
0:298w1 þ0:845w2 þ0:355w3 þn72p72 ¼ 0:845
0w1 þ0:790w2 þ0w3 þn82p82 ¼ 0:790
1w1 þ0:212w2 þ0:996w3 þn13p13 ¼ 0:996
0:578w1 þ0w2 þ1w3 þn23p23 ¼ 1
0:524w1 þ0:446w2 þ0:460w3 þn33p33 ¼ 0:460
0:455w1 þ0:785w2 þ0:200w3 þn43p43 ¼ 0:200
0:418w1 þ0:650w2 þ0:401w3 þn53p53 ¼ 0:401
0:404w1 þ1w2 þ0:069w3 þn63p63 ¼ 0:069
0:298w1 þ0:845w2 þ0:355w3 þn73p73 ¼ 0:355
0w1 þ0:790w2 þ0w3 þn83p83 ¼ 0
hard constraints:
Xn
i ¼ 1
ðni1 þpi1ÞrD
Xn
i ¼ 1
ðni2 þpi2ÞrD
Xn
i ¼ 1
ðni3 þpi3ÞrD
Xc
j ¼ 1
wj ¼ 1
accounting rows:
0:578w1 þ0w2 þ1w3 ¼ V1
0:524w1 þ0:446w2 þ0:460w3 ¼ V2
0:455w1 þ0:785w2 þ0:200w3 ¼ V3
0:418w1 þ0:650w2 þ0:401w3 ¼ V4
0:404w1 þ1w2 þ0:069w3 ¼ V5
0:298w1 þ0:845w2 þ0:355w3 ¼ V6
0w1 þ0:790w2 þ0w3 ¼ V7
Xn
i ¼ 1
ðni1 þpi1Þ ¼ D1
Xn
i ¼ 1
ðni2 þpi2Þ ¼ D2
Xn
i ¼ 1
ðni3 þpi3Þ ¼ D3
Xc
j ¼ 1
Dj ¼ Z

ผลลัพธ์ (ไทย) 1:

ภาคผนวกการทำงานความสำเร็จ:min lXnฉัน¼ 1Xcเจ¼ 1ðnijþpijÞþð1lÞDเอสเป้าหมาย:1w1 þ0:212w2 þ0:996w3 þn11p11 ¼ 10:578w1 þ0w2 þ1w3 þn21p21 ¼ 0:5780:524w1 þ0:446w2 þ0:460w3 þn31p31 ¼ 0:5240:455w1 þ0:785w2 þ0:200w3 þn41p41 ¼ 0:4550:418w1 þ0:650w2 þ0:401w3 þn51p51 ¼ 0:4180:404w1 þ1w2 þ0:069w3 þn61p61 ¼ 0:4040:298w1 þ0:845w2 þ0:355w3 þn71p71 ¼ 0:2980w1 þ0:790w2 þ0w3 þn81p81 ¼ 01w1 þ0:212w2 þ0:996w3 þn12p12 ¼ 0:2120:578w1 þ0w2 þ1w3 þn22p22 ¼ 00:524w1 þ0:446w2 þ0:460w3 þn32p32 ¼ 0:4460:455w1 þ0:785w2 þ0:200w3 þn42p42 ¼ 0:7850:418w1 þ0:650w2 þ0:401w3 þn52p52 ¼ 0:6500:404w1 þ1w2 þ0:069w3 þn62p62 ¼ 10:298w1 þ0:845w2 þ0:355w3 þn72p72 ¼ 0:8450w1 þ0:790w2 þ0w3 þn82p82 ¼ 0:7901w1 þ0:212w2 þ0:996w3 þn13p13 ¼ 0:9960:578w1 þ0w2 þ1w3 þn23p23 ¼ 10:524w1 þ0:446w2 þ0:460w3 þn33p33 ¼ 0:4600:455w1 þ0:785w2 þ0:200w3 þn43p43 ¼ 0:2000:418w1 þ0:650w2 þ0:401w3 þn53p53 ¼ 0:4010:404w1 þ1w2 þ0:069w3 þn63p63 ¼ 0:0690:298w1 þ0:845w2 þ0:355w3 þn73p73 ¼ 0:3550w1 þ0:790w2 þ0w3 þn83p83 ¼ 0ข้อจำกัดของฮาร์ดดิสก์:Xnฉัน¼ 1ðni1 þpi1ÞrDXnฉัน¼ 1ðni2 þpi2ÞrDXnฉัน¼ 1ðni3 þpi3ÞrDXcเจ¼ 1wj ¼ 1บัญชีแถว:0:578w1 þ0w2 þ1w3 ¼ V10:524w1 þ0:446w2 þ0:460w3 ¼ V20:455w1 þ0:785w2 þ0:200w3 ¼ V30:418w1 þ0:650w2 þ0:401w3 ¼ V40:404w1 þ1w2 þ0:069w3 ¼ V50:298w1 þ0:845w2 þ0:355w3 ¼ของ V60w1 þ0:790w2 þ0w3 ¼ V7Xnฉัน¼ 1ðni1 þpi1Þ ง 1 ¼Xnฉัน¼ 1ðni2 þpi2Þ ¼ D2Xnฉัน¼ 1ðni3 þpi3Þ ¼ดี 3Xcเจ¼ 1ดีเจ¼ Z

ผลลัพธ์ (ไทย) 2:

ภาคผนวกฟังก์ชั่นความสำเร็จ:
นาทีลิตร
Xn
ฉัน¼ 1
Xc
เจ¼ 1 ðnijþpijÞþð1lÞDเซนต์เป้าหมาย: 1w1 þ0: 212w2 þ0: 996w3 þn11p11¼ 1 0: 578w1 þ0w2þ1w3þn21p21¼ 0: 578 0: 524w1 þ0: 446w2 þ0: 460w3 þn31p31¼ 0 : 524 0: 455w1 þ0: 785w2 þ0: 200w3 þn41p41¼ 0: 455 0: 418w1 þ0: 650w2 þ0: 401w3 þn51p51¼ 0: 418 0: 404w1 þ1w2þ0: 069w3 þn61p61¼ 0: 404 0: 298w1 þ0: 845w2 þ0: 355w3 þn71p71¼ 0: 298 0w1 þ0: 790w2 þ0w3þn81p81¼ 0 1w1 þ0: 212w2 þ0: 996w3 þn12p12¼ ​​0: 212 0: 578w1 þ0w2þ1w3þn22p22¼ 0 0: 524w1 þ0: 446w2 þ0: 460w3 þn32p32¼ 0: 446 0: 455w1 þ0: 785w2 þ0: 200w3 þn42p42¼ 0: 785 0: 418w1 þ0: 650w2 þ0: 401w3 þn52p52¼ 0: 650 0: 404w1 þ1w2þ0: 069w3 þn62p62¼ 1 0: 298w1 þ0: 845w2 þ0: 355w3 þn72p72¼ 0: 845 0w1 þ0: 790w2 þ0w3þn82p82¼ 0: 790 1w1 þ0: 212w2 þ0: 996w3 þn13p13¼ 0: 996 0: 578w1 þ0w2þ1w3þn23p23¼ 1 0: 524w1 þ0: 446w2 þ0: 460w3 þn33p33¼ 0: 460 0: 455w1 þ0: 785w2 þ0: 200w3 þn43p43¼ 0: 200 0: 418w1 þ0: 650w2 þ0: 401w3 þn53p53¼ 0: 401 0: 404w1 þ1w2þ0: 069w3 þn63p63¼ 0: 069 0: 298w1 þ0: 845w2 þ0: 355w3 þn73p73¼ 0: 355 0w1 þ0 : 790w2 þ0w3þn83p83¼ 0 ข้อ จำกัด ที่ยากXn ฉัน¼ 1 ðni1þpi1ÞrD Xn ฉัน¼ 1 ðni2þpi2ÞrD Xn ฉัน¼ 1 ðni3þpi3ÞrD Xc เจ¼ 1 WJ ¼ 1 แถวที่บัญชี: 0: 578w1 þ0w2þ1w3¼ V1 0: 524w1 þ0: 446w2 þ0: 460w3 ¼ V2 0: 455w1 þ0: 785w2 þ0: 200w3 ¼ V3 0: 418w1 þ0: 650w2 þ0: 401w3 ¼ V4 0: 404w1 þ1w2þ0: 069w3 ¼ V5 0: 298w1 þ0: 845w2 þ0: 355w3 ¼ V6 0w1 þ0: 790w2 þ0w3¼ V7 Xn ฉัน¼ 1 ðni1þpi1Þ¼ D1 Xn ฉัน¼ 1 ðni2þpi2Þ¼ D2 Xn ฉัน¼ 1 ðni3þpi3Þ¼ D3 Xc เจ¼ 1 Dj ¼ Z

ผลลัพธ์ (ไทย) 3:

ฟังก์ชันผลสัมฤทธิ์ไส้ติ่ง
:
L

ผมมิน ซิน¼ 1
1
ð XC
J ¼นิจþ pij Þþð 1 ลิตรÞ D


1w1 สท . เป้าหมาย : þ 0:212w2 þ 0:996w3 þ n11p11 ¼ 1
0:578w1 þ 0w2 þ 1w3 þ n21p21 ¼ 0:578
0:524w1 þ 0:446w2 þ 0:460w3 þ n31p31 ¼ 0:524
0:455w1 þ 0:785w2 þ 0:200w3 þ n41p41 ¼ 0:455
0:418w1 þ 0:650w2 þ 0:401w3 þ n51p51 ¼ 0:418
0:404w1 þ 1w2 þ 0:069w3 þ n61p61 ¼ 0:404
0:298w1 þ 0:845w2 þ 0:355w3 þ n71p71 ¼ 0:298
0w1 þ 0:790w2 þ 0w3 þ n81p81 ¼ 0
1w1 þ 0 :212w2 þ 0:996w3 þ n12p12 ¼ 0:212
0:578w1 þ 0w2 þ 1w3 þ n22p22 ¼ 0
0:524w1 þ 0:446w2 þ 0:460w3 þ n32p32 ¼ 0:446
0:455w1 þ 0:785w2 þ 0:200w3 þ n42p42 ¼ 0:785
0:418w1 þ 0:650w2 þ 0:401w3 þ n52p52 ¼ 0:650
0:404w1 þ 1w2 þ 0:069w3 þ n62p62 ¼ 1
0:298w1 þ 0:845w2 þ 0:355w3 þ n72p72 ¼ 0:845
0w1 þ 0:790w2 þ 0w3 þ n82p82 ¼ 0:790
1w1 þ 0:212w2 þ 0:996w3 þ n13p13 ¼ 0:996
0:578w1 þ 0w2 þ 1w3 þ n23p23 ¼ 1
0:524w1 þ 0:446w2 þ 0 :460w3 þ n33p33 ¼ 0:460
0:455w1 þ 0:785w2 þ 0:200w3 þ n43p43 ¼ 0:200
0:418w1 þ 0:650w2 þ 0:401w3 þ n53p53 ¼ 0:401
0:404w1 þ 1w2 þ 0:069w3 þ n63p63 ¼ 0:069
0:298w1 þ 0:845w2 þ 0:355w3 þ n73p73 ¼ 0:355
0w1 þ 0:790w2 þ 0w3 þ n83p83 ¼ 0
:

ผมยากข้อจำกัด¼ซิน 1
ð ni1 þ pi1 Þ RD
ซิน
ฉัน¼ 1
ð ni2 þ pi2 Þ RD
ซิน
ฉัน¼ 1
ð ni3 þ pi3 Þ RD

J นี้¼ 1
1
wj ¼บัญชีแถว :
0:578w1 þ 0w2 þ 1w3 ¼ V1
0:524w1 þ 0:446w2 þ 0:460w3 ¼ V2
0:455w1 þ 0 :785w2 þ 0:200w3 ¼ V3
0:418w1 þ 0:650w2 þ 0:401w3 ¼ V4
0:404w1 þ 1w2 þ 0:069w3 ¼ V5
0:298w1 þ 0:845w2 þ 0:355w3 ¼ V6
0w1 þ 0:790w2 þ 0w3 ¼ V7

ผมซิน¼ 1
ð ni1 þ pi1 Þ¼ D1

ผมซิน¼ 1
ð ni2 þ pi2 Þ¼ D2

ผมซิน¼ 1
ð ni3 þ pi3 Þ¼ D3
XC
J ¼ 1 ¼ Z

ดีเจ