scholarly journals Static VS Dynamic Reversibility in CCS

Author(s):  
Doriana Medić ◽  
Claudio Antares Mezzina
2021 ◽  
Vol 58 (2) ◽  
pp. 449-468
Author(s):  
Pascal Moyal ◽  
Ana Bušić ◽  
Jean Mairesse

AbstractWe consider a stochastic matching model with a general compatibility graph, as introduced by Mairesse and Moyal (2016). We show that the natural necessary condition of stability of the system is also sufficient for the natural ‘first-come, first-matched’ matching policy. To do so, we derive the stationary distribution under a remarkable product form, by using an original dynamic reversibility property related to that of Adan, Bušić, Mairesse, and Weiss (2018) for the bipartite matching model.


Author(s):  
Ivan Lanese ◽  
Doriana Medić ◽  
Claudio Antares Mezzina

1975 ◽  
Vol 12 (S1) ◽  
pp. 217-224 ◽  
Author(s):  
P. Whittle

It is well-known that the transition matrix of a reversible Markov process can have only real eigenvalues. An example is constructed which shows that the converse assertion does not hold. A generalised notion of reversibility is proposed, ‘dynamic reversibility’, which has many of the implications for the form of the transition matrix of the classical definition, but which does not exclude ‘circulation in state-space’ or, indeed, periodicity.


2015 ◽  
Vol 47 (4) ◽  
pp. 1039-1063 ◽  
Author(s):  
Stephen B. Connor ◽  
Wilfrid S. Kendall

In this paper we describe a perfect simulation algorithm for the stable M/G/c queue. Sigman (2011) showed how to build a dominated coupling-from-the-past algorithm for perfect simulation of the super-stable M/G/c queue operating under first-come-first-served discipline. Sigman's method used a dominating process provided by the corresponding M/G/1 queue (using Wolff's sample path monotonicity, which applies when service durations are coupled in order of initiation of service). The method exploited the fact that the workload process for the M/G/1 queue remains the same under different queueing disciplines, in particular under the processor sharing discipline, for which a dynamic reversibility property holds. We generalise Sigman's construction to the stable case by comparing the M/G/c queue to a copy run under random assignment. This allows us to produce a naïve perfect simulation algorithm based on running the dominating process back to the time it first empties. We also construct a more efficient algorithm that uses sandwiching by lower and upper processes constructed as coupled M/G/c queues started respectively from the empty state and the state of the M/G/c queue under random assignment. A careful analysis shows that appropriate ordering relationships can still be maintained, so long as service durations continue to be coupled in order of initiation of service. We summarise statistical checks of simulation output, and demonstrate that the mean run-time is finite so long as the second moment of the service duration distribution is finite.


2019 ◽  
Vol 11 (43) ◽  
pp. 40842-40849
Author(s):  
Alexander Lowe ◽  
Nikolay Tsyrin ◽  
Mirosław Chorążewski ◽  
Paweł Zajdel ◽  
Michał Mierzwa ◽  
...  

1967 ◽  
Vol 89 (1) ◽  
pp. 237-238 ◽  
Author(s):  
Kirit Yajnik

This note points out the relatively simple character of dynamically reversible flows. A flow is said to be dynamically reversible if the reversed flow is possible under the action of suitable forces. The velocity field in the case of such flows of a Newtonian fluid subjected to conservative body forces can be decomposed into two parts, one satisfying Laplace’s equation and the other, the conduction equation. An integral similar to Bernoulli’s integral can also be found. In addition, the vorticity in two-dimensional flows is constant along a streamline. The property of dynamic reversibility is enjoyed by many flows such as irrotational flows, unidirectional flow through pipes, and two-dimensional axisymmetric vortexes.


2020 ◽  
Vol 53 (18) ◽  
pp. 7914-7924 ◽  
Author(s):  
Daihua Fu ◽  
Wuli Pu ◽  
Jorge Escorihuela ◽  
Xiaorong Wang ◽  
Zhanhua Wang ◽  
...  

Lab on a Chip ◽  
2010 ◽  
Vol 10 (15) ◽  
pp. 1952 ◽  
Author(s):  
Nastaran Hashemi ◽  
Peter B. Howell, Jr. ◽  
Jeffrey S. Erickson ◽  
Joel P. Golden ◽  
Frances S. Ligler

2010 ◽  
Vol 44-47 ◽  
pp. 3100-3104 ◽  
Author(s):  
Ying Li Ding ◽  
Yong Zhi Cai ◽  
Cheng Wu Lin

This paper reports an experiment equipment which is used as reversibility research of magnetically controlled shape memory alloy (MSMA). The vibration detection is done based on dynamic reversibility of MSMA. The results show that MSMA will induce Martensitic transformation in the magnetic field. The characteristics of rapid dynamic response, high sensitivity and reversibility are found. The material is of a bright future of application in sensors and self-sensing actuator (SSA) field.


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