The M/G/∞ Queue in Random Environment

2014 ◽  
pp. 312-324 ◽  
Author(s):  
Anatoly Nazarov ◽  
Galina Baymeeva
Keyword(s):  
Random Environment

Driven periodic structures in random environment

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-85-Pr10-87
Author(s):  
V. M. Vinokur
Keyword(s):  
Random Environment ◽  
Periodic Structures

Driven elastic system in a random environment

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

The Effects of Environmental Autocorrelations on the Progress of Selection in a Random Environment

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

PRODUCTION-INVENTORY MODELS WITH AN UNRELIABLE FACILITY OPERATING IN A TWO-STATE RANDOM ENVIRONMENT

2002 ◽  
Vol 16 (3) ◽  
pp. 325-338 ◽  
Author(s):  
David Perry ◽  
M.J.M. Posner
Keyword(s):  
Random Environment ◽  
Compound Poisson Process ◽  
Inventory Models ◽  
Level Crossing ◽  
Capacity Limitations ◽  
Model Variant ◽  
Production Inventory ◽  
Level Process ◽  
Equilibrium Content ◽  
Production Inventory System

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.

scholarly journals A comparison of random walks in dependent random environments

2016 ◽  
Vol 48 (1) ◽  
pp. 199-214
Author(s):  
Werner R. W. Scheinhardt ◽  
Dirk P. Kroese
Keyword(s):  
Random Walks ◽  
Random Environment ◽  
Moving Average ◽  
Random Environments ◽  
Dependency Structure ◽  
Interesting Behavior

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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