The Comparison of Structured Modeling and Simulation Modeling of Queueing Systems

Author(s):  
Igor Yakimov ◽  
Alexander Kirpichnikov ◽  
Vladimir Mokshin ◽  
Zuhra Yakhina ◽  
Rustem Gainullin
2021 ◽  
Vol 48 (4) ◽  
pp. 53-61
Author(s):  
Andrea Marin ◽  
Carey Williamson

Craps is a simple dice game that is popular in casinos around the world. While the rules for Craps, and its mathematical analysis, are reasonably straightforward, this paper instead focuses on the best ways to cheat at Craps, by using loaded (biased) dice. We use both analytical modeling and simulation modeling to study this intriguing dice game. Our modeling results show that biasing a die away from the value 1 or towards the value 5 lead to the best (and least detectable) cheating strategies, and that modest bias on two loaded dice can increase the winning probability above 50%. Our Monte Carlo simulation results provide validation for our analytical model, and also facilitate the quantitative evaluation of other scenarios, such as heterogeneous or correlated dice.


1997 ◽  
Vol 30 (6) ◽  
pp. 101-113
Author(s):  
Vincent Postal ◽  
Christophe Rondeau ◽  
Pierre Vaudrey ◽  
Pierre Wetzer

2019 ◽  
pp. 3-6
Author(s):  
Petr Alexeyevich Kozlov ◽  
◽  
Vitaliy Sergeyevich Kolokolnikov ◽  
Ekaterina Vitalyevna Kopylova ◽  
◽  
...  

Author(s):  
Thanh Xuan Nguyen ◽  
Phuong Thi-Thu Phan ◽  
Tien Van Pham

Paragliding is an adventure and fascinating sport of flying paragliders. Paragliders can be launched by running from a slope or by a winch force from towing vehicles, using gravity forces as the motor for the motion of flying. This motion is governed by the gravity forces as well as time-varying aerodynamic ones which depend on the states of the motion of paraglider at each instant of time. There are few published articles considering mechanical problems of paragliders in their various flying situations. This article represents the mathematical modeling and simulation of several common flying situations of a paraglider through establishing and solving the governing differential equations in state-space. Those flying situations include the ones with constant headwind/tailwind with or without constant upwind; the ones with different scenario for the variations of headwind and tailwind combined with the upwind; the ones with varying pilot mass; and the ones whose several parameters are in the form of interval quantities. The simulations were conducted using a powerful Julia toolkit called DifferentialEquations.jl. The obtained results in each situation are discussed, and some recommendations are presented. Keywords: paraglider; simulation; modeling; state-space; ordinary differential equations; Julia; DifferentialEquations.jl


2021 ◽  
Vol 7 ◽  
pp. 17-28
Author(s):  
Vasil Kadrev ◽  
Rosen Pasarelski

The aim of the proposed work is to study the characteristics of modeling and simulation of risk on the ensure systems, as specific communication systems. On the ensure systems case of interest is Probabilistic Risk Assessment (PRA). The assessment focuses on predicting the probability of failures that can lead to injury and / or loss of life and / or severe damage to the system and / or environmental damage. The result of PRA modeling is to determine the probability for a particular result, but with severe consequences, and to identify those events or components, which will most likely lead to this result. Risk assessment models are typically use to assess system safety and to decide on resource management to prevent accidents. Results of analyzes performed using analytical models, as well as simulation modeling of risk on ensure systems, under various specific initial conditions, are presented. Based on these results, the peculiarities (advantages and disadvantages), as well as the perspectives of the analytical and simulation modeling, can be seen. Based on the examined examples are illustrated the actual results, related to the principles and peculiarities of the analytical and simulation modeling in the field of the risk assessment in the ensure systems according to the sampling survey.


2019 ◽  
Author(s):  
Jaakko Kuorikoski ◽  
Samuli Reijula

The dual problems of how an idealized model can represent and provide information about its target have become a central topic of in the philosophy of science. We argue that several current views are misguided in assuming that the epistemology of modeling and simulation must build on a philosophical theory of the representation relation (e.g. isomorphism, similarity). We extend Robert Brandom’s inferentialist account of meaning into scientific representation to argue that representational language is explicatory, not explanatory, in nature. We provide a broader philosophical rationale for inferential accounts of scientific representation, and an epistemologically modest account of the role of models in terms of inferential scorekeeping. We apply these views to the contested case of computer simulations to argue that, although the praxis of simulation modeling resembles that of scientific experimentation, simulations alone cannot lead to genuinely novel discoveries about the world, as they are merely tools for keeping our reasoning straight.


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