This article presents a new way of generating a generalized state equation that is useful for analyzing the token flow of the Petri Net (PN) with priority. The transition values in the firing vector as used in the conventional state equation are replaced with transition variables, which are generated by multiplying a series of firing condition functions taking the weighted inhibitor arc into ac...

We investigate the coupled modified nonlinear Schrödinger equation. Breather solutions are constructed through traditional Darboux transformation with nonzero plane-wave solutions. To obtain higher-order localized wave solution, N -fold generalized is given. Under condition that characteristic equation admits a double-root, we present expression of first-order interactional solution. Then graph...

In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. H...