Approximating the First-Come, First-Served Stochastic Matching Model with Ohm’s Law

2018 ◽  
Vol 66 (5) ◽  
pp. 1423-1432 ◽  
Author(s):  
Mohammad M. Fazel-Zarandi ◽  
Edward H. Kaplan
Keyword(s):  
Matching Model ◽  
Ohm’S Law ◽  
Ohm's Law ◽  
Stochastic Matching

OHM'S LAW IS THE GENERAL LAW OF EXACT SCIENCES

2016 ◽  
Vol 72 (7) ◽  
Author(s):  
Alexander Alexandrovich Antonov
Keyword(s):  
Ohm’S Law ◽  
General Law ◽  
Ohm's Law

scholarly journals Ohm's law: another look

1975 ◽  
Vol 57 (S1) ◽  
pp. S38-S38
Author(s):  
W. M. Mills ◽  
J. D. Gilliom
Keyword(s):  
Ohm’S Law ◽  
Ohm's Law

scholarly journals A product form for the general stochastic matching model

2021 ◽  
Vol 58 (2) ◽  
pp. 449-468
Author(s):  
Pascal Moyal ◽  
Ana Bušić ◽  
Jean Mairesse
Keyword(s):  
Stationary Distribution ◽  
Product Form ◽  
Necessary Condition ◽  
Matching Model ◽  
Bipartite Matching ◽  
Compatibility Graph ◽  
Stochastic Matching ◽  
Dynamic Reversibility ◽  
Original Dynamic ◽  
Do So

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.

scholarly journals Conceptualizing biogeochemical reactions with an Ohm's law analogy

2021 ◽  
Author(s):  
Jinyun Tang ◽  
Jinyun Tang ◽  
William Riley ◽  
Gianna L Maschmann ◽  
Eoin L Brodie
Keyword(s):  
Ohm’S Law ◽  
Ohm's Law
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