A Cauchy Integral Related to a Robot-safety Device System

Vanderperre, E., and Makhanov, S.. "A Cauchy Integral Related to a Robot-safety Device System." Serdica Mathematical Journal 25.4 (1999): 311-320. <http://eudml.org/doc/11521>.

@article{Vanderperre1999,
abstract = {We introduce a robot-safety device system attended by two different repairmen. The twin system is characterized by the natural feature of cold standby and by an admissible “risky” state. In order to analyse the random behaviour of the entire system (robot, safety device, repair facility) we employ a stochastic process endowed with probability measures satisfying general Hokstad-type differential equations. The solution procedure is based on the theory of sectionally holomorphic functions, characterized by a Cauchy-type integral defined as a Cauchy principal value in double sense. An application of the Sokhotski-Plemelj formulae determines the long-run availability of the robot-safety device. Finally, we consider the particular but important case of deterministic repair.},
author = {Vanderperre, E., Makhanov, S.},
journal = {Serdica Mathematical Journal},
keywords = {Robot; Safety Device; Invariant Measure; Availability; Risk-criterion; robot-safety device; invariant measure; availability; risk criterion},
language = {eng},
number = {4},
pages = {311-320},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Cauchy Integral Related to a Robot-safety Device System},
url = {http://eudml.org/doc/11521},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Vanderperre, E.
AU - Makhanov, S.
TI - A Cauchy Integral Related to a Robot-safety Device System
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 4
SP - 311
EP - 320
AB - We introduce a robot-safety device system attended by two different repairmen. The twin system is characterized by the natural feature of cold standby and by an admissible “risky” state. In order to analyse the random behaviour of the entire system (robot, safety device, repair facility) we employ a stochastic process endowed with probability measures satisfying general Hokstad-type differential equations. The solution procedure is based on the theory of sectionally holomorphic functions, characterized by a Cauchy-type integral defined as a Cauchy principal value in double sense. An application of the Sokhotski-Plemelj formulae determines the long-run availability of the robot-safety device. Finally, we consider the particular but important case of deterministic repair.
LA - eng
KW - Robot; Safety Device; Invariant Measure; Availability; Risk-criterion; robot-safety device; invariant measure; availability; risk criterion
UR - http://eudml.org/doc/11521
ER -