Analisis dan Perancangan Software Simulasi Pertumbuhan Model Proses Bisnis Menggunakan Random Growth Model

Tujuan dari penelitian ini adalah untuk menganalisis dan merancang suatu software yang berguna untuk melakukan simulasi pertumbuhan model proses bisnis, sehingga didapatkan model proses bisnis yang optimal. Optimal disini memiliki arti bahwa model proses bisnis tersebut tidak lagi bisa dilakukan pertumbuhan. Input untuk software ini merupakan model proses bisnis. Pada penelitian ini jenis pemodelan yang digunakan adalah Petri net. Dalam sekali proses simulasi dibutuhkan dua dua input, dimana nilai kompleksitas dari input model pertama harus lebih kecil daripada model kedua. Hal ini agar mendapatkan nilai scalability yang scalable. Scalability merupakan potensi yang dimiliki suatu model proses bisnis untuk dapat melakukan pertumbuhan. Semakin besar nilai scalability maka semakin memungkinkan untuk terjadi pertumbuhan. Nilai scalability inilah yang menjadi kunci utama dari simulasi pertumbuhan tersebut. Software akan terus menjalankan proses simulasi dengan syarat nilai scalability haruslah “>0” dan “<1”. Pertumbuhan dilakukan secara acak dengan menambahkan elemen-elemen baru. Proses simulasi dilakukan dengan dua metode pembobotan, yaitu bercabang dan sequence. Hasil dari penelitian ini adalah software yang telah dirancang mampu melakukan proses simulasi pertumbuhan dengan menghasilkan nilai scalability yang semakin kecil setiap kali pertumbuhan dilakukan. Software ini juga menghasilkan output berupa file PNML yang mana merupakan hasil dari proses simulasi pertumbuhan tersebut.

Transient Dynamics in the Random Growth and Reset Model

A mean-field type model with random growth and reset terms is considered. The stationary distributions resulting from the corresponding master equation are relatively easy to obtain; however, for practical applications one also needs to know the convergence to stationarity. The present work contributes to this direction, studying the transient dynamics in the discrete version of the model by two different approaches. The first method is based on mathematical induction by the recursive integration of the coupled differential equations for the discrete states. The second method transforms the coupled ordinary differential equation system into a partial differential equation for the generating function. We derive analytical results for some important, practically interesting cases and discuss the obtained results for the transient dynamics.

Macro-Scale Numerical Simulation of Moisture Transmission in Zeoli-Based Moisture Conditioning Material

By random growth method, this paper constructs isotropic porous media, anisotropic-1 porous media, and anisotropic-2 porous media, which have the same porosity but different micropore morphologies, and explores how the pore morphology affects the water vapor diffusion in the pores of porous media. The results show that: the random growth method can effectively reconstruct various porous moisture conditioning materials, and control their porosity and pore morphology; the equilibrium water vapor concentration and stabilization time of water vapor diffusion can effectively demonstrate the pore connectivity of porous media and the dynamic migration features of materials in the pores; the greater the change in the equilibrium water vapor concentration, the faster the stabilization of water vapor diffusion, and the better the pore connectivity of porous media.

Long and Short Time Asymptotics of the Two-Time Distribution in Local Random Growth

The two-time distribution gives the limiting joint distribution of the heights at two different times of a local 1D random growth model in the curved geometry. This distribution has been computed in a specific model but is expected to be universal in the KPZ universality class. Its marginals are the GUE Tracy-Widom distribution. In this paper we study two limits of the two-time distribution. The first, is the limit of long time separation when the quotient of the two times goes to infinity, and the second, is the short time limit when the quotient goes to zero.