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The SPERT problem was defined, in a game theory framework, as the fair allocation of the slack or float among the activities in a PERT network previous to the execution of the project. Previous approaches tackle with this problem imposing that t[...]texto impreso
Castro, Javier ; Gómez, Daniel ; Molina, Elienda ; Tejada Cazorla, Juan Antonio | Pergamon-Elsevier | 2017In this paper, we propose a refinement of the polynomial method based on sampling theory proposed by Castro et al. (2009) to estimate the Shapley value for cooperative games. In addition to analyzing the variance of the previously proposed estim[...]texto impreso
Castro, Javier ; Gómez, Daniel ; Tejada Cazorla, Juan Antonio | Pergamon-Elsevier Science Ltd | 2009-05In this paper we develop a polynomial method based on sampling theory that can be used to estimate the Shapley value (or any semivalue) for cooperative games. Besides analyzing the complexity problem, we examine some desirable statistical proper[...]texto impreso
Castro, Javier ; Gómez, Daniel ; Tejada Cazorla, Juan Antonio | Pergamon-Elsevier Science Ltd | 2008In 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 p[...]texto impreso
An important topic in PERT networks is how to allocate the total expedition (or delay) for situations in which the project is not executed as planned. In order to do that we define a TU project game that satisfies some desirable properties from [...]texto impreso
In this paper, we define a new rule for the resolution of the slack allocation problem in a PERT network. This problem exists of allocating existing extra time in some paths among the activities belonging to those paths. The allocation rule that[...]
