Expansion formulas. I. A general method

A general moment expansion method for stochastic kinetic models.

Moment approximation methods are gaining increasing attention for their use in the approximation of the stochastic kinetics of chemical reaction systems. In this paper we derive a general moment expansion method for any type of propensities and which allows expansion up to any number of moments. For some chemical reaction systems, more than two moments are necessary to describe the dynamic prop...

Range Restriction for General Formulas

Deductive databases need general formulas in rule bodies, not only conjuctions of literals. This is well known since the work of Lloyd and Topor about extended logic programming. Of course, formulas must be restricted in such a way that they can be effectively evaluated in finite time, and produce only a finite number of new tuples (in each iteration of the TP -operator: the fixpoint can still ...

Studies in Molecular Dynamics. I. General Method

Cluster Expansion Formulas and Perfect Matchings

We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster variables in these cluster algebras in terms of perfect matchings of a certain graph GT,γ that is constructed from the surface by recursive glueing of elementary pieces that we call tiles. We also give a second formula...

Train Scheduling Problem - Phase I: A General Simulation Modeling Framework

One of the important problems in management of railway systems is train scheduling problem. This is the problem of determining a timetable for a set of trains that do not violate infrastructure capacities and satisfies some operational constraints. In this study, a feasible timetable generator framework for stochastic simulation modeling is developed. The objective is to obtain a feasible tr...