Second order cone programming formulation of the fixed cost allocation in DEA based on Nash bargaining game

<p style='text-indent:20px;'>A vital issue in many organizations is the fair allocation of fixed cost among its subsets. In this paper, using data envelopment analysis, first we study based on both additive and multiplicative efficiency decompositions cooperative context for a two-stage structure presence exogenous inputs outputs. A conic relaxation formulation decomposition given. Then, leader-follower paradigm are presented. sequel, allocating between stages, results model, present nonlinear Nash bargaining game model that independent score each unit, allocates to stages. The reformulated as second order cone program which an imporvement over parametric linear models literature. Finally, two examples used illustrate proposed compare their with existing models.</p>