Castro, Javier and Gómez, Daniel and Tejada Cazorla, Juan Antonio (2008) A polynomial rule for the problem of sharing delay costs in PERT networks. Computers and Operations Research, 35 (7). pp. 2376-2387. ISSN 0305-0548
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In this paper we define the weighted serial cost sharing rule for the cost allocation problem.We apply this new rule to the problem of sharing delay costs in a PERT network. This rule belongs to the Core and is the Weighted Shapley Value for a particular game. Furthermore, we present a characterization of this rule and a polynomial algorithm for its calculation.
|Uncontrolled Keywords:||PERT; Serial cost sharing; Delay cost; Weighted Shapley Value|
|Subjects:||Sciences > Mathematics > Operations research|
Bergantiños G, Sánchez E. How to distribute costs associated with a delayed project. Annals of Operations Research 2002;109:159–74.
Brânzei R, Ferrari G, FragnelliV, Tijs S. Two approaches to the problem of sharing delay costs in joint projects. Annals of Operations Research 2002;109:359–74.
Moulin H, Shenker S. Serial cost sharing. Econometrica 1992;60:1009–37.
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.
Tijs S, Koster M. General aggregation of demand and cost sharing methods. Annals of Operations Research 1998;84:137–64.
Potters J, Sudhölter P. Airport problems and consistent allocation rules. Mathematical Social Sciences 1999;38:83–102.
Moulin H. On additive methods to share joint costs. Japanese Economic Review 1995;46:303–32.
Albizuri MJ, Santos JC, Zarzuelo JM. On the serial cost sharing rule. International Journal of Game Theory 2002;31:437–46.
Estévez-Fernandez A, Born P, Hamers H. Project games. Center discussion paper series, Tilburg University; 2005.
De Frutos MA. Coalitional manipulation in a bankruptcy problem. Review of Economic Design 1999;4:255–72.
Castro J, Gómez D, Tejada J. The use of proportional rule applied to durations for slack distribution in a PERT network. Technical Report,2005.
|Deposited On:||19 Jul 2012 09:33|
|Last Modified:||06 Feb 2014 10:36|
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