We adapt the time-evolving block decimation (TEBD) algorithm, originally devised to simulate the dynamics of one-dimensional quantum systems, to simulate the time evolution of nonequilibrium stochastic systems. We describe this method in detail; a system's probability distribution is represented by a matrix product state (MPS) of finite dimension and then its time evolution is efficiently simul...

We consider a discrete-time infinite-capacity queueing system with a general uncorrelated arrival process, constant-length service times of multiple slots, multiple servers and a first-come-first-served queueing discipline. Under the assumption that the queueing system can reach a steady state, we first establish a relationship between the steady-state probability distributions of the system co...

This study proposes a genetic algorithm-based (GA-based) ERoS (Energy-efficiency via Role Sharing) protocol with capable of predicting the optimal probability of cluster heads to enhance the performance of cluster-based wireless sensor networks. The proposed GA-based ERoS protocol, termed ERoS-GA, which basically includes set-up and steady-state phases for each round in the protocol, and a prep...

In recent years, AQM (Active Queue Management) mechanisms, which support the end-to-end congestion control mechanism of TCP (Transmission Control Protocol), have been widely studied. The AQM mechanism is a congestion control mechanism at a router to control its queue length by actively discarding arriving packets. Many AQM mechanisms such as RED (Random Early Detection) have been proposed. Howe...

In drylands the soil water availability is a key factor ruling the architecture of the ecosystem. The soil water reflects the exchanges of water among soil, vegetation, and atmosphere. Here, a dryland ecosystem is investigated through the analysis of the local interactions between soil water and vegetation forced by rainfall having seasonal and stochastic occurrence. The evolution of dryland ec...

how inflation taxation affects resource allocation and welfare has received a great deal of attention. so far, this debate has been controversial. in this paper we examine how nominal money growth as a means of public finance affects resource allocation and welfare in a neoclassical endogenous growth model with leisure and money in the utility function and production externality. the present st...

This paper presents a Closed Loop CLL-T (capacitor inductor inductor) Series Parallel Resonant Converter (SPRC) has been simulated and the performance is analysised. A three element CLL-T SPRC working under load independent operation (voltage type and current type load) is presented in this paper. The Steady state Stability Analysis of CLL-T SPRC has been developed using State Space technique a...

Field spectra are analyzed to yield the time-resolved statistics of pulsed transmission through quasi-one-dimensional dielectric media with static disorder. The normalized intensity correlation function with displacement and polarization rotation for an incident pulse of linewidth sigma at delay time t is a function only of the field correlation function, which is identical to that found for st...

This paper addresses the problem of constructing multidimensional Markov chains with product form steady state distribution. Product connection theorems are established which guarantee that the product ∏ ν π (ν) nν of steady state probabilities π (ν) nν related to ergodic Markov chains X (ν) = {X(ν)(t) : t ∈ T} represents the steady state probability p(n) = p(n1, n2, . . .) of an ergodic multid...