in this paper at rst, a history of mathematical models is given.next, some basic information about random variables, stochastic processesand markov chains is introduced. as follows, the entropy for a discrete timemarkov process is mentioned. after that, the entropy for sis stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.

Many defense and security applications involve the detection of a dynamic process. A process model describes the state transitions of an object, which evolves in time according to specific know laws. Given a process model, the process detection problem is to identify the existence of such a process in large amount of observation data. While Hidden Markov Models (HMMs) are widely used to charact...

Business processes present business logic of enterprises and or web services. In current Internet based dynamic business environment, business logic and resource allocation may have to change more frequently than before to match various business conditions in time. Business process deployment is a very costly procedure. It is desirable that a business process reengineering action could be verif...

The features like optimized utilization of remotely available resources and dynamic load-balancing provide significant enhancements in overall system performance in distributed systems. These features may be implemented by applying the dynamic process migration mechanism in which an executing process is migrated from a highly loaded workstation to some lightly loaded workstation in the distribu...

An important step to improving processes is first understanding them. I report here a case study in process understanding using the process modeling language Interact. I illustrate both the language and the process iteratively, somewhat in the way it might actually be done, and then provide the completed model. I close with lessons to be drawn from this study about understanding and improving p...

The Inequality Process (IP) is a competition process that models the dynamics of personal income and wealth at the micro (individual person) and macro (distribution) levels. At the micro level, it is a particle system. It has a macro model in terms of the parameters of the micro model, a gamma pdf that approximates the stationary distribution of the micro model. Randomly paired particles compet...

Paper one “IDEF*: a comprehensive modeling methodology for the development of manufacturing enterprise systems” [1] discusses the IDEF* modeling methodology which is used to reduce the incompatibility between the models and help modeling maintenance. The paper also gives information on the structure and various components of the supporting software tool that is used. Paper two “A knowledge-base...

In this paper, agent based process management model is proposed, which is for the process management of knowledge worker and service workers in order to establish the basis for the new knowledge management system. In this paper, we applied several methods from 6 sigma and PSP for process definition, process execution, and process measurement. This study attempts to improve the process execution...

The formalization of process definitions has been an invaluable aid in many domains. However, noticeable variations in processes start to emerge as precise details are added to process definitions. While each such variation gives rise to a different process, these processes might more usefully be considered as variants of each other, rather than completely different processes. This paper propos...