# Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

RAIRO - Operations Research (2010)

- Volume: 38, Issue: 2, page 153-171
- ISSN: 0399-0559

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topSemenova, Olga V.. "Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes." RAIRO - Operations Research 38.2 (2010): 153-171. <http://eudml.org/doc/105306>.

@article{Semenova2010,

abstract = {
A single-server queueing system with a batch Markovian arrival
process (BMAP) and MAP-input of disasters causing all customers to
leave the system instantaneously is considered. The system has two
operation modes, which depend on the current queue length. The
embedded and arbitrary time stationary queue length distribution
has been derived and the optimal control threshold strategy has
been determined.
},

author = {Semenova, Olga V.},

journal = {RAIRO - Operations Research},

keywords = {Negative arrivals; BMAP/SM/1 queue; Markovian
arrival process of disasters; operation modes.; negative arrivals, BMAP/SM/1 queue, Markovian arrival process of disasters, operation modes},

language = {eng},

month = {3},

number = {2},

pages = {153-171},

publisher = {EDP Sciences},

title = {Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes},

url = {http://eudml.org/doc/105306},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Semenova, Olga V.

TI - Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

JO - RAIRO - Operations Research

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 2

SP - 153

EP - 171

AB -
A single-server queueing system with a batch Markovian arrival
process (BMAP) and MAP-input of disasters causing all customers to
leave the system instantaneously is considered. The system has two
operation modes, which depend on the current queue length. The
embedded and arbitrary time stationary queue length distribution
has been derived and the optimal control threshold strategy has
been determined.

LA - eng

KW - Negative arrivals; BMAP/SM/1 queue; Markovian
arrival process of disasters; operation modes.; negative arrivals, BMAP/SM/1 queue, Markovian arrival process of disasters, operation modes

UR - http://eudml.org/doc/105306

ER -

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