In supply chains, forecasting is an important determinant of operational performance, although there have been few studies that have selected forecasting methods on that basis. This paper is a case study of forecasting method selection for a global manufacturer of lubricants and fuel additives, products usually classified as specialty chemicals. We model the supply chain using actual demand dat...

We introduce a modification of the classical Hawkes’ processes in which also inhibitory connections between units are allowed. This formalism is used to model networks of neurons characterized by an exponential transfer function. The expected intensities of the process are approximated by a differential system of first-order and the stability of the solutions of this equation is studied. We dis...

Markovian modeling of systems is a promising technique used to gauge the performance, dependability, and performability of systems. It can be used to aid design decisions by evaluating a range of design options for a range of environments, and it can be used to increase understanding of operational systems. Unfortunately, Markovian modeling is limited by the “state-space explosion,” or the expo...

Starting from the exponential, some classes of analytic functions of the derivative operator are studied, including pseudo-hyperbolic and pseudo-circular functions. Some formulas related to operational calculus are deduced, and the important role played in such a context by Hermite–Kampé de Fériet polynomials is underlined. 2000 Mathematics Subject Classification: 44A45, 30D05, 33B10.

Let X be a Banach space and suppose that A1, . . . ,An are noncommuting (that is, not necessarily commuting) elements in L(X), the space of bounded linear operators on X. Further, for each i ∈ {1, . . . , n}, let μi be a continuous probability measure on B([0,1]), the Borel class of [0,1]. Each such n-tuple of operator-measure pairs (Ai,μi), i = 1, . . . , n, determines an operational calculus ...