Permanent

Permanent

Mathematica

Published in Leslie Hogben, Richard Brualdi, Anne Greenbaum, Roy Mathias, Handbook of Linear Algebra, 2006

(Permanent) (See Chapter 31 for the definition and more information about permanents.) A permanent of a square matrix M with n rows can be computed as the coefficient of the product x1x2···xn in the product of the components of the vector Mv, where ν = (x1, …, xn). So, a permanent can be calculated with the following program: permanent[m_] ≔ With[{v = Array[x, Length[m]]},Coefficient[Apply[Times, m.v], Apply[Times, v]]]m = {{6, 2, 3}, {2, 7, 5}, {4, 2, 5}};permanent[m] 426

A quantifiable quality enabled servitisation model: benchmarking Indian automobile manufacturers

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Journal Information

Published in International Journal of Production Research, 2021

Bibekananda Mishra, Biswajit Mahanty, Jitesh J. Thakkar

Both digraph and matrix representation are not novel, as they change by changing the numbering of the nodes. To build up a special portrayal, a permanent function of the matrix CSQI (per VPM) is proposed. The permanent function is a standard matrix function and is used in combinatorial mathematics. The permanent function is achieved in an analogous manner as its determinant but with all the negative signs substituted by positive signs. Utilising this calculation, each term of the multinomial capacity can add to the quality model and none of the terms loses its criticalness because of the cancellation of terms as in the traditional matrix method. This multinomial representation includes all the information regarding the factors selected and is called variable permanent function for CSQI (VPFCSQI), also known as permanent of Y (per Y*).

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A quantifiable quality enabled servitisation model: benchmarking Indian automobile manufacturers