Calculating the performance measures of a manufacturing system is of fundamental
importance in many industrial engineering problems, particularly scheduling. The max-plus …

This research focuses on event varying discrete event systems with capacity and order
constraints, and derives two state-space representations that stand for the earliest and latest …

Due to emerging applications such as cloud computing and big data analytics, modern
information processing systems are growing increasingly large and complex. A critical issue …

We present a new approach to get bounds on the service cycle time in acyclic forkjoin
queueing networks. The approach is based on (max,+)-algebra representation of network …

Simple lower and upper bounds on service cycle times in stochastic acyclic fork-join
queueing networks are derived using a (max,+)-algebra based representation of network …

Abstract The (max,+)-algebra approach is applied to establish some monotonicity properties
and to get algebraic bounds on the service cycle completion times in acyclic fork-join …

This paper extends the existent state-space representation based on max-plus algebra and
proposes a new form that can take into account both capacity and order constraints. It is …

A typical and significant feature of discrete event systems is that the behaviour is
noncontinuous; that is to say, events occur at discrete time instants and the values of internal …

The problem of evaluation of Lyapunov exponent in queueing network analysis is
considered based on models and methods of idempotent algebra. General existence …

Рассматривается стохастическая модель обобщенной линейной динамической
системы со случайной матрицей, элементы которой могут иметь произвольные …