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Algorithm 26. Limit distribution of the number of items in the queueing system E₂/E₂/n

100%

Jankiewicz M.

Applicationes Mathematicae

|

1972-1973

|

tom 13

|

nr 4

547-551

2

Elements of the theory of dams

100%

Jankiewicz M.

Mathematica Applicanda

|

1982

|

tom 10

|

nr 18

PL

W ostatnich trzydziestu latach teoria tam (ang. theory of dams) rozwija się szybko i odczuwalny jest niedosyt dostępnych prac przeglądowych. Znakomite prace przeglądowe i monografie Morana [52], Prabhu [62], [63], Takacsa [83] i Ganiego [24] nie zawierają najnowszych kierunków badań. Praca ta ma na celu wypełnienie tej luki.

EN

This paper is a review of recent results in theory of dams. Only continuous-time models are considered, the dam capacity being assumed to be infinite. The results are given for the following cases: (1) The input is a process with independent increments, and release is at a constant rate; (2) the input and output processes have infinitely divisible distributions; (3) the input is a process with independent increments, and the release rate is equal to r(x), where x denotes the content of the dam; (4) the input is a semi-Markov process, and the output rate is r(x); (5) the input and output are semi-Markov processes. The bibliography includes 88 items.

3

Explicit formulas for transition intensities in the queueing system $E_2/E_2/n$

100%

Jankiewicz M.

Applicationes Mathematicae

|

1972-1973

|

tom 13

|

nr 2

187-198

4

Extended piecewise Markov processes in continuous time

75%

Jankiewicz M.

Applicationes Mathematicae

|

1977-1980

|

tom 16

|

nr 2

175-195

5

Extended piecewise Markov processes in discrete time

75%

Jankiewicz M.

Applicationes Mathematicae

|

1977-1980

|

tom 16

|

nr 2

197-205

6

Piecewise Markov processes on a general state space

63%

Jankiewicz M., Rolski T.

Applicationes Mathematicae

|

1976-1977

|

tom 15

|

nr 4

421-436

7

Steady-state distributions of piecewise Markov processes

63%

Jankiewicz M., Kopociński B.

Applicationes Mathematicae

|

1976-1977

|

tom 15

|

nr 1

25-32

8

Cyclic system with preemptive priority

50%

Jankiewicz M.

Applicationes Mathematicae

|

1974-1975

|

tom 14

|

nr 2

165-176

9

Stationary inequalities for dams with content-dependent release rate

50%

Jankiewicz M.

Applicationes Mathematicae

|

1983-1985

|

tom 18

|

nr 2

211-224

10

The dam with content-dependent input and output

44%

Jankiewicz M.

Applicationes Mathematicae

|

1987

|

tom 19

|

nr 1

13-29

11

Some martingales in dams with Poisson input and release

44%

Jankiewicz M.

Applicationes Mathematicae

|

1983-1985

|

tom 18

|

nr 2

203-210

Ograniczanie wyników

10 Applicationes Mathematicae

1 Mathematica Applicanda

11 Jankiewicz M.

1 Kopociński B.

1 Rolski T.

1 1987

2 1984

1 1982

2 1978

1 1977

1 1976

1 1974

1 1973

1 1972

Algorithm 26. Limit distribution of the number of items in the queueing system E₂/E₂/n

Elements of the theory of dams

Explicit formulas for transition intensities in the queueing system $E_2/E_2/n$

Extended piecewise Markov processes in continuous time

Extended piecewise Markov processes in discrete time

Piecewise Markov processes on a general state space

Steady-state distributions of piecewise Markov processes

Cyclic system with preemptive priority

Stationary inequalities for dams with content-dependent release rate

The dam with content-dependent input and output

Some martingales in dams with Poisson input and release