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Centralized resource allocation with stochastic data
Authors:F. Hosseinzadeh LotfiN. Nematollahi  M.H. BehzadiM. Mirbolouki  Z. Moghaddas
Affiliation:
  • a Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • b Department of Statistics, Faculty of Economics, Allameh Tabataba’i University, Tehran, Iran
  • c Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • d Department of Mathematics, Shahre-Rey Branch, Islamic Azad University, Tehran, Iran
  • Abstract:Data Envelopment Analysis (DEA) is a technique based on mathematical programming for evaluating the efficiency of homogeneous Decision Making Units (DMUs). In this technique inefficient DMUs are projected on to the frontier which constructed by the best performers. Centralized Resource Allocation (CRA) is a method in which all DMUs are projected on to the efficient frontier through solving just one DEA model. The intent of this paper is to present the Stochastic Centralized Resource Allocation (SCRA) in order to allocate centralized resources where inputs and outputs are stochastic. The concept discussed throughout this paper is illustrated using the aforementioned example.
    Keywords:Data envelopment analysis   Normal distribution   Quadratic programming   Resource allocation
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