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    Matrix-based network data envelopment analysis: A common set of weights approach
    (Elsevier Ltd, 2024) Peykani, Pejman; Seyed Esmaeili, Fatemeh Sadat; Pishvaee, Mir Saman; Rostamy Malkhalifeh, Mohsen; Hosseinzadeh Lotfi, Farhad
    Performance measurement of decision-making units (DMUs) with network structure is one of the main challenges in data envelopment analysis (DEA) field. The main purpose of this paper is to propose a novel network data envelopment analysis (NDEA) approach based on matrix of efficiency, common set of weights (CSW), multi-objective programming (MOP), and goal programming (GP) technique for performance measurement of peer DMUs in two-stage network structure. The advantages of the proposed NDEA approach can be summarized as follows: comparing all DMUs and sub-DMUs on the same base, considering all internal structures and relations and capability to extending this for all network structures, linearity of the proposed models, unique efficiency decomposing without any need to consider multiplicative, additive or leader-follower relations between overall and stages efficiency. To illustrate the usefulness and applicability of the proposed approach we applied it to a real application of non-life insurance companies in Taiwan. © 2024 Elsevier Ltd
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    Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs
    (Springernature, 2023) Amoozad, Taher; Allahviranloo, Tofigh; Abbasbandy, Saeid; Rostamy Malkhalifeh, Mohsen
    In this paper, a new implementation based on the reproducing kernel method (RKM) without the Gram-Schmidt orthogonalization for solving linear and nonlinear systems of second-order boundary value problems is presented. In the RKM method, components such as points, space, inner product, bases, and a suitable method have an effect on increasing the accuracy. The easy implementation, elimination of the Gram-Schmidt process, fewer calculations, and high accuracy of the present method are interesting. The compatibility of numerical results and theorems demonstrates that the Present method is effective.