This book discusses model building, linear programming problems and Duality, Sensitivity, and Uncertainty, and the process of Constructing Mathematical Models.Expand

Birth-death processes can be described by systems of differential equations together with certain probability conditions. Karlin and McGregor have shown that these systems of equations and the… Expand

where the polynomials On(x) are recursively defined by: - 1(x) = 0, O(x) = 1, and (I-A) n+ (x) = (x - anX)-(x) - bnn- i(X) (n > 0). This study begins by showing how to obtain such a function +(x) for… Expand

We define k-interpolated sequences by a family of divide-and-conquer recurrence equations. These sequences are k-regular after a segment of initial values. A k-regular sequence is computed with an… Expand