A polynomial rule for the problem of sharing delay costs in PERT networks

Computers and Operations Research

Volumn 35, Issue 7, 2008, Pages 2376-2387

  Castro, Javier ^a   Gómez, Daniel ^a   Tejada, Juan ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Delay cost; PERT; Serial cost sharing; Weighted Shapley Value

Indexed keywords

APPROXIMATION ALGORITHMS; GAME THEORY; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

DELAY COST; SERIAL COST SHARING; WEIGHTED SHAPLEY VALUE;

LOGIC PROGRAMMING;

EID: 36349034504     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2006.11.003     Document Type: Article

References (11)

1. Bergantiños G., and Sánchez E. How to distribute costs associated with a delayed project. Annals of Operations Research 109 (2002) 159-174
2. Brânzei R., Ferrari G., Fragnelli V., and Tijs S. Two approaches to the problem of sharing delay costs in joint projects. Annals of Operations Research 109 (2002) 359-374
3. Moulin H., and Shenker S. Serial cost sharing. Econometrica 60 (1992) 1009-1037
4. Shapley LS. A value for n-person games. In: Kuhn HW, Tucker AW, editors, Contributions to the theory of games II. Annals of mathematics studies, vol. 28. Princeton, NJ: Princeton University Press; 1957. p. 307-17.
5. Tijs S., and Koster M. General aggregation of demand and cost sharing methods. Annals of Operations Research 84 (1998) 137-164
6. Potters J., and Sudhölter P. Airport problems and consistent allocation rules. Mathematical Social Sciences 38 (1999) 83-102
7. Moulin H. On additive methods to share joint costs. Japanese Economic Review 46 (1995) 303-332
8. Albizuri M.J., Santos J.C., and Zarzuelo J.M. On the serial cost sharing rule. International Journal of Game Theory 31 (2002) 437-446
9. Estévez-Fernandez A, Born P, Hamers H. Project games. Center discussion paper series, Tilburg University; 2005.
10. De Frutos M.A. Coalitional manipulation in a bankruptcy problem. Review of Economic Design 4 (1999) 255-272
11. Castro J, Gómez D, Tejada J. The use of proportional rule applied to durations for slack distribution in a PERT network. Technical Report, 2005.