Equilibrium results for the M/G/k group-arrival loss system

Top ◽  
2010 ◽  
Vol 21 (1) ◽  
pp. 163-181
Author(s):  
Spiros Dimou ◽  
Demetrios Fakinos
Keyword(s):  
Loss System ◽  
Group Arrival

scholarly journals Product-form distributions for an M/G/k group-arrival group-departure loss system

1989 ◽  
Vol 21 (3) ◽  
pp. 721-724 ◽  
Author(s):  
D. Fakinos ◽  
K. Sirakoulis
Keyword(s):  
Equilibrium Distribution ◽  
Product Form ◽  
Loss System ◽  
Group Arrival

In this work we investigate under what circumstances the equilibrium distribution of the numbers of groups of various sizes in a certain M/G/k group-arrival group-departure loss system can be obtained in a closed product form.

The M/G/k group-arrival group-departure loss system

1982 ◽  
Vol 19 (4) ◽  
pp. 826-834 ◽  
Author(s):  
D. Fakinos
Keyword(s):  
Poisson Process ◽  
Group Size ◽  
Loss System ◽  
Group Arrival ◽  
Service Times ◽  
Departure Processes

This paper considers the equilibrium behaviour of the M/G/k group-arrival group-departure loss system. Such a system has k servers whose customers arrive in groups, the arrival epochs of groups being points of a Poisson process. The duration of a service can be characteristic of the group size; however, customers who belong to the same group have equal service times. The customers of a group start being served immediately upon their arrival, unless their number is greater than the number of idle servers. In this case the whole group leaves and does not return later (i.e. is lost). Among other things, a generalization of the Erlang B-formula is given and it is shown that the arrival and departure processes are statistically indistinguishable.

scholarly journals Product-form distributions for an M/G/k group-arrival group-departure loss system

1989 ◽  
Vol 21 (03) ◽  
pp. 721-724
Author(s):  
D. Fakinos ◽  
K. Sirakoulis
Keyword(s):  
Equilibrium Distribution ◽  
Product Form ◽  
Loss System ◽  
Group Arrival

In this work we investigate under what circumstances the equilibrium distribution of the numbers of groups of various sizes in a certain M/G/k group-arrival group-departure loss system can be obtained in a closed product form.

The M/G/k group-arrival group-departure loss system

1982 ◽  
Vol 19 (04) ◽  
pp. 826-834 ◽  
Author(s):  
D. Fakinos
Keyword(s):  
Poisson Process ◽  
Group Size ◽  
Loss System ◽  
Group Arrival ◽  
Service Times ◽  
Departure Processes

This paper considers the equilibrium behaviour of the M/G/k group-arrival group-departure loss system. Such a system has k servers whose customers arrive in groups, the arrival epochs of groups being points of a Poisson process. The duration of a service can be characteristic of the group size; however, customers who belong to the same group have equal service times. The customers of a group start being served immediately upon their arrival, unless their number is greater than the number of idle servers. In this case the whole group leaves and does not return later (i.e. is lost). Among other things, a generalization of the Erlang B-formula is given and it is shown that the arrival and departure processes are statistically indistinguishable.

Finiteness of moments of partial busy periods for M/G/C queues

1986 ◽  
Vol 23 (1) ◽  
pp. 261-264 ◽  
Author(s):  
Saeed Ghahramani
Keyword(s):  
Busy Period ◽  
Loss System

Conditions for finiteness of moments of the following quantities have been found: the duration of a busy period of an Μ /G/∞ system; the duration of a partial busy period of an M/G/C loss system, and the duration of a partial busy period of an M/G/C queue.

VLF lightning location by time of group arrival (TOGA) at multiple sites

2002 ◽  
Vol 64 (7) ◽  
pp. 817-830 ◽  
Author(s):  
Richard L Dowden ◽  
James B Brundell ◽  
Craig J Rodger
Keyword(s):  
Group Arrival

Optimal Input for the Loss System G/M/2

1976 ◽  
Vol 7 (1) ◽  
pp. 129-137 ◽  
Author(s):  
Klaus Fleischmann
Keyword(s):  
Loss System ◽  
Optimal Input
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