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Table 7 Results of applying the proposed cost-sharing mechanism

From: A joint inventory–finance model for coordinating a capital-constrained supply chain with financing limitations

α

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

\(C_{chain}\)

44,857,600

89,684,400

134,479,000

179,293,000

224,102,000

268,910,000

313,718,000

358,535,000

403,295,000

447,762,000

OEM

13,073,660

26,118,094

39,151,668

52,190,053

65,225,186

78,261,006

91,296,132

104,334,571

117,357,118

130,287,752

AM

27,179,657

54,365,758

81,535,368

108,717,035

135,898,046

163,078,451

190,259,451

217,445,314

244,596,014

271,575,536

\(S_{1}\)

295,891

590,647

885,028

1,179,433

1,473,771

1,768,005

2,062,344

2,356,539

2,650,451

2,942,412

\(S_{2}\)

491,134

981,522

1,471,554

1,961,706

2,451,748

2,941,778

3,431,820

3,921,949

4,411,347

4,897,755

\(S_{3}\)

245,694

490,957

735,993

981,098

1,226,168

1,471,232

1,716,204

1,961,317

2,206,016

2,449,269

\(S_{4}\)

148,063

295,495

442,720

589,951

737,150

884,316

1,031,466

1,178,612

1,325,568

1,471,597

\(S_{5}\)

942,277

1,883,602

2,824,209

3,765,037

4,705,843

5,646,530

6,587,238

7,528,113

8,467,772

9,401,407

\(S_{6}\)

637,914

1,275,195

1,912,090

2,549,072

3,186,038

3,822,990

4,459,858

5,096,938

5,733,095

6,365,241

\(S_{7}\)

883,148

1,765,565

2,647,230

3,529,288

4,411,128

5,293,047

6,174,886

7,056,884

7,937,740

8,813,042

\(S_{8}\)

319,926

638,998

957,710

1,276,495

1,595,223

1,913,846

2,232,573

2,551,260

2,869,437

3,185,703

\(S_{9}\)

34,450

688,123

1,031,312

1,374,634

1,717,849

2,061,057

2,404,174

2,747,451

3,090,185

3,430,757

\(S_{10}\)

295,675

590,343

884,656

1,179,041

1,473,282

1,767,516

2,061,756

2,355,951

2,649,864

2,941,824