Sustainable Freight Transport by Vasileios Zeimpekis Emel Aktas Michael Bourlakis & Ioannis Minis

Author:Vasileios Zeimpekis, Emel Aktas, Michael Bourlakis & Ioannis Minis
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Min cost problem

Min emission problem

Coalition

C

Proportional

Shapley

Nucleolus

E

Proportional

Shapley

Nucleolus

{A}

295

221

219

226

645

488

494

510

{B}

372

279

254

240

814

617

557

525

{C}

305

229

256

263

671

509

562

578

{A,B}

508

499

472

465

1128

1105

1051

1035

{A,C}

578

450

474

488

1281

997

1056

1088

{B,C}

572

507

510

502

1238

1125

1119

1103

{A,B,C}

728

728

728

728

1614

1614

1614

1614

As for the allocations, Table 3 reveals that the three methods provide stable solutions in both the cost and the emission games for this example. In fact, by comparing the optimal cost (emission) of each coalition with the sum of the allocated cost (emission) to its players, it is easy to verify that the efficiency and rationality conditions are satisfied.

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