Design of Cellular Manufacturing System involves four major decisions: Cell formation (CF), Group layout (GL), Group scheduling (Gs) and Resource assignment (RA).  These problems should be regarded, concurrently, in order to obtain an optimal solution in a CM environment. In this paper a two stage heuristic procedure is proposed for CF and RA decisions problem. The solution approach contains a ...

We present a mathematical framework that unifies the quantum causal history formalism from theoretical high energy physics and the directed graph operator framework from the theory of operator algebras. The approach involves completely positive maps and directed graphs and leads naturally to a new class of operator algebras.

In hep-th/0202087 it was argued that the operator L0 is bad defined in κ-basis as a kernel operator. Indeed, we show that L0 is a difference operator. We also find a representation of L1 and L−1 in a class of difference operators. On leave from Steklov Mathematical Institute, Moscow, Russia.

By means of the delta operator, a new type of CNN, the (δ,c)-CNN, is introduced. It is a superclass of continuoustime (CT) and discrete-time (DT) CNNs with any saturation-, high-gain-, or hardlimiting sign-nonlinearity. It is shown that the (δ,c)-CNN allows continuous transition between different types of nonlinearities and between CTand DT-CNNs, providing a unifying framework for CNN theory. I...

Research on the semantics of gradable adjectives has, among others, the following two preoccupations: the nature of the degree-comparison relation expressed by the degree morphology (more/-er, less, etc.) and the way in which the standard of comparison is expressed. Here I wish to examine a combination of these two elements that has not, to the best of my knowledge, been described before. In pa...

Abstract—In this note, we consider the issue of parameter sensitivity in models based on alternative discrete time operators (ADTOs). A generic first order ADTO is proposed which encompasses all the known first order ADTOs introduced so far in the literature. New bounds on the operator parameters are derived, and a new algorithm is given for optimally selecting the parameters to give minimum pa...

The reference [2] contructs the Operator axioms to deduce number systems. In this paper, we slightly improve on the syntax of the Operator axioms and construct a semantics of the Operator axioms. Then on the basis of the improved Operator axioms, we define two fundamental operator functions to study the analytic properties of the Operator axioms. Finally, we prove two theorems about the fundame...

This work studies how certain problems in quantum theory have motivated some recent reseach in pure Mathematics in matrix and operator theory. The mathematical key is that of a commutator or a generalized commutator, that is, find an operator X ∈ B(H) satisfying the operator equation AX − XB = C. By this we will show how and why to solve the operator equation AX − XB = C. Some problems are stud...