scholarly journals On intermediate levels of a nested occupancy scheme in a random environment generated by stick-breaking II

Stochastics ◽  
2022 ◽  
pp. 1-25
Author(s):  
Alexander Iksanov ◽  
Alexander Marynych ◽  
Igor Samoilenko
Keyword(s):  
1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-85-Pr10-87
Author(s):  
V. M. Vinokur

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-69-Pr10-71 ◽  
Author(s):  
P. Chauve ◽  
T. Giamarchi ◽  
P. Le Doussal

1978 ◽  
Vol 112 (987) ◽  
pp. 897-909 ◽  
Author(s):  
John H. Gillespie ◽  
Harry A. Guess
Keyword(s):  

2002 ◽  
Vol 16 (3) ◽  
pp. 325-338 ◽  
Author(s):  
David Perry ◽  
M.J.M. Posner

We consider two model variants of a production-inventory system. The system is characterized by a producing machine which is susceptible to failure following which it must be repaired to make it operative again. The machine's production can also be stopped deliberately because of stocking capacity limitations. During ON periods the input into the buffer is continuous and uniform (until a threshold is reached), whereas during OFF periods the output from the buffer is a compound Poisson process. We are interested in computing the equilibrium content level process under the assumption that full backlogging is allowed. In the first model, variant OFF periods are independent of the demand process, and in the second variant, they are determined and controlled in accordance with a certain level crossing stopping rule.


2016 ◽  
Vol 48 (1) ◽  
pp. 199-214
Author(s):  
Werner R. W. Scheinhardt ◽  
Dirk P. Kroese

Abstract We provide exact computations for the drift of random walks in dependent random environments, including k-dependent and moving average environments. We show how the drift can be characterized and evaluated using Perron–Frobenius theory. Comparing random walks in various dependent environments, we demonstrate that their drifts can exhibit interesting behavior that depends significantly on the dependency structure of the random environment.


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