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Несимметричная многомаркерная кольцевая локальная сеть с буферами конечной емкости и ординарной дисциплиной обслуживания

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13

Несимметричная многомаркерная кольцевая локальная сеть с буферами
конечной емкости и ординарной дисциплиной обслуживания

Содержание

Введение

1 Математические модели функционирования несимметричных, многомаркерных
КЛВС с конечными буферами различной емкости и ординарной дисциплиной
обслуживания

1.1 Математическая модель функционирования многомаркерной,
несимметричной КЛВС с N АС, с k маркерами (10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, Q=1,2,3,…, N

2)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Доказательство:

P(picscalex1000100090000032b01000002001c00000000000500000009020000000005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) –
вектор-строка вероятностей состояний i-того периодического класса;
матрица А размерности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, элементами которой являются вероятности
переходов из i-того периодического класса в (i+1) – ый.

Вследствие периодичности цепи Маркова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 если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 либо (i,
j)picscalex1000100090000039d00000002001c00000000000500000009020000000005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(N,
1). Из этих рассуждений имеем
Р(1)=Р(N)picscalex1000100090000032901000002001c0000000000050000000902000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Р(J)=P
(J-1)picscalex1000100090000038901000002001c00000000000500000009020000000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Jpicscalex1000100090000039d00000002001c000000000005000000090200000000050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,3,…,
N, J определяет периодический класс.

J определяет те, станции на которых находятся маркеры в данном
периодическом классе, с учетом постановки математической модели любой
маркер может переходить только на соседнюю станцию. Это и обуславливает
то, что маркер с N-ной станции переходит на первую АС.

Таким образом, учитывая условие нормировки, имеем процедуру (1)
определения векторов стационарных вероятностей КЛВС.

Доказано.

Для обоснования правильности формул времени необходимо учитывать
следующие положения:

1) если поступает сообщение, а соответствующий буфер занят полностью, то
сообщение теряется, и при подсчете поступивших сообщений оно не
учитывается;

2) если сообщение не передается, то из данного буфера оно никуда не
может исчезнуть, поэтому если при переходе из некоторого состояния в
соседнее какое-то сообщение теряется, то вероятность данного перехода
равна 0;

3) при передаче сообщения из АС, на которой есть маркер, буфер данной
станции блокируется;

4) со станции с маркером может передаваться не более одного сообщения.

5) на тех станциях, на которых нет маркеров, может быть вероятность
равна единице в том случае, если в i-том периодическом классе и в
(i+1) – вом буфер станции был полностью занят.

2.2picscalex100010009000003510000000000120000000000050000000902000000000
5000000020101000000050000000102ffffff00050000002e0118000000050000000b020
0000000050000000c02200220011200000026060f001a00ffffffff000010000000c0fff
fffa6ffffffe0000000c60100000b00000026060f000c004d61746854797065000050000
a00000026060f000a00ffffffff010000000000030000000000 Определение
стационарных вероятностей состояний многомаркерной, несимметричной КЛВС
с буферами
picscalex1000100090000037101000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c024002200d1200000026060f001a00ffffffff000010000000c0ffffff
a6ffffffe00c0000e60100000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000cc0402001054696d6573204e657720526f6d61
6e004c53f5775553f5770100000000003000040000002d01000008000000320a8001200c
01000000327908000000320a80014008010000002c7908000000320a8001a40701000000
317908000000320a8001e003010000002c7908000000320a800144030100000031791c00
0000fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d61
6e004c53f5775553f5770100000000003000040000002d01010004000000f00100000800
0000320ae001e80901000000337908000000320ae0018f0501000000327908000000320a
e00140010100000031791c000000fb0280fe000000000000900100000002000200105379
6d626f6c0077400000009d040ade4c53f5775553f5770100000000003000040000002d01
000004000000f001010008000000320a8001e80a010000003d7908000000320a80019606
010000003d7908000000320a80013602010000003d791c000000fb0280fe000000000000
9001010000cc0402001054696d6573204e657720526f6d616e004c53f5775553f5770100
000000003000040000002d01010004000000f001000008000000320a8001d00801000000
6d7908000000320a80017004010000006d7908000000320a80013a00010000006d790a00
000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc020000
00cc0102022253797374656d000000000a00000004000000000000000000010000000000
3000040000002d01000004000000f0010100030000000000, с 3 АС и 2-мя
маркерами, с ординарной дисциплиной обслуживания

Будем рассматривать поведение КЛВС в моменты поступления маркеров на АС.
В этом случае изменение состояний КЛВС образуют конечную цепь Маркова.

Под состоянием КЛВС будем понимать состояние всех АС кольца в момент
поступления на них маркеров. Каждая АС может находиться всегда в одном
из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состоянии.

Все состояния КЛВС делятся на 3 периодических классов, каждый из которых
содержит в рассматриваемом случае 12 состояний.

Особенности протокола приводят к тому, что указанная цепь Маркова
является неприводимой, периодической с периодом, равным 3.

Некоторый j-тый класс
(jpicscalex1000100090000039d00000002001c00000000000500000009020000000005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,2,3)
соответствует поступлению некоторого фиксированного маркера на j-тую АС.
Вероятности переходов из j-того периодического класса в (j+1) – ый
образуют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 матрицу.

Закодируем состояния КЛВС парами чисел (i, r),
i=(picscalex1000100090000030501000002001c0000000000050000000902000000000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),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. Здесь i
определяет класс состояний, т.е. равно номерам тех станций, на которых
находятся маркера, r определяет номер состояния.

Введем обозначение
M=(picscalex1000100090000030501000002001c0000000000050000000902000000000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) – множество номеров
тех станций, на которых находятся маркера,
R=(picscalex1000100090000030701000002001c0000000000050000000902000000000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),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,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,2,3,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- обозначает количество сообщений на l-той АС.
Также обозначим через
P(picscalex1000100090000030501000002001c00000000000500000009020000000005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) – вектор-строку
вероятностей состояний КЛВС.

Обозначим через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- вероятность того, что за время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 на i-тую АС не поступит ни одного сообщения;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- вероятность того, что за время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на i-тую АС поступит m сообщений;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- вероятность
того, что за время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 на i-тую АС поступит m и более сообщений.

Так как поток сообщений пуассоновский, то имеем:
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picscalex1000100090000035501000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picscalex1000100090000031501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600220041200000026060f001a00ffffffff000010000000c0ffffff
b7ffffffe0030000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000cc0402001054696d6573204e657720526f6d61
6e004c53f5775553f5770100000000003000040000002d01000008000000320aa0015a03
01000000297908000000320aa001e2010100000028791c000000fb0220ff000000000000
9001010000cc0402001054696d6573204e657720526f6d616e004c53f5775553f5770100
000000003000040000002d01010004000000f001000008000000320a0002dd0201000000
697908000000320af400500101000000697908000000320a00020601010000006d791c00
0000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d61
6e004c53f5775553f5770100000000003000040000002d01000004000000f00101000800
0000320aa001600201000000747908000000320aa00146000100000050790a0000002606
0f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc0102
022253797374656d000000000a0000000400000000000100000001000000000030000400
00002d01010004000000f0010000030000000000=picscalex1000100090000034302000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picscalex1000100090000038702000003001c0000000000050000000902000000000500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,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,2,3

Изучая поведение КЛВС во вложенные Марковские моменты, получим следующую
процедуру определения стационарных вероятностей сети, которая является
частным случаем теоремы из пункта 2.1: стационарные вероятности
рассматриваемой КЛВС вычисляются из соотношений:

P (2,3)=P (1,2) A (1,2);

P (3,1)=P (2,3) A (2,3);

P (1,2)=P (3,1) A (3,1);
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А
–picscalex1000100090000032901000002001c000000000005000000090200000000050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 матрица вероятностей
переходов из i-того периодического класса в состояние (i+1) – го класса,
элементы которой вычисляются по формуле:

a(picscalex1000100090000030501000002001c00000000000500000009020000000005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)=picscalex10001000900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picscalex1000100090000037303000003001c0000000000050000000902000000000500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времена вычисляются по следующим формулам:
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picscalex100010009000003b501000002001c0000000000050000000902000000000500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а также вероятность перехода равна нулю, если:

1)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>0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, Q=1,2,3

2)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Для обоснования правильности формул времени необходимо учитывать
следующие положения:

1) если поступает сообщение, а соответствующий буфер занят полностью, то
сообщение теряется, и при подсчете поступивших сообщений оно не
учитывается;

2) если сообщение не передается, то из данного буфера оно никуда не
может исчезнуть, поэтому если при переходе из некоторого состояния в
соседнее какое-то сообщение теряется, то вероятность данного перехода
равна 0;

3) при передаче сообщения из АС, на которой есть маркер, буфер данной
станции блокируется;

4) со станции с маркером может передаваться не более одного сообщения;

5) на тех станциях, на которых нет маркеров, может быть вероятность
равна единице в том случае, если в i-том периодическом классе и в
(i+1) – вом буфер станции был полностью занят.

В приложении будет предоставлены матрицы переходов для рассматриваемой
КЛВС. Обозначение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 означает, что маркеры находились на первой и второй станциях.

2.3 Определение стационарных вероятностей состояний многомаркерной,
несимметричной КЛВС с буферами различной емкости, с N АС и k=N
маркерами, с ординарной дисциплиной обслуживания

Будем рассматривать поведение КЛВС в моменты поступления маркеров на АС.
В этом случае изменение состояний КЛВС образуют конечную цепь Маркова.

Под состоянием КЛВС будем понимать состояние всех АС кольца в момент
поступления на них маркеров. Каждая АС может находиться всегда в одном
из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состояни
и.

Все состояния КЛВС делятся на N периодических классов, каждый из которых
содержит в рассматриваемом случае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состояние.

Особенности протокола приводят к тому, что указанная цепь Маркова
является неприводимой, периодической с периодом, равным N.

Некоторый j-тый класс
(jpicscalex1000100090000039d00000002001c00000000000500000009020000000005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,2,…,
N) соответствует поступлению некоторого фиксированного маркера на j-тую
АС. Вероятности переходов из j-того периодического класса в (j+1) – ый
образуют
(picscalex100010009000003c501000002001c000000000005000000090200000000050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) матрицу. Зафиксируем
некоторый маркер и будем рассматривать поведение сети в моменты
поступления этого маркера АС.

Закодируем состояния КЛВС парами чисел (i, r),
i=(picscalex1000100090000032b01000002001c0000000000050000000902000000000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),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.Здесь i определяет
класс состояний, т.е. равно номеру станции, на которой находятся
маркеры, r определяет номер состояния.

Введем обозначение
M=(picscalex1000100090000032b01000002001c0000000000050000000902000000000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) – множество
номеров тех станций, на которых находятся маркера,
R=(picscalex1000100090000032b01000002001c0000000000050000000902000000000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),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,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,…, N,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- обозначает количество сообщений на l-той АС.
Также обозначим через
P(picscalex1000100090000033b01000002001c00000000000500000009020000000005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) – вектор-строку
вероятностей состояний КЛВС.

Обозначим через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- вероятность того, что за время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 на i-тую АС не поступит ни одного сообщения;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- вероятность того, что за время
picscalex100010009000003c900000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02400240011200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff00010000e60100000b00000026060f000c004d61746854797065000060001c00
0000fb0220ff0000000000009001010000cc0402001054696d6573204e657720526f6d61
6e004c53f5775553f5770100000000003000040000002d01000008000000320ae001ab00
0100000069791c000000fb0280fe0000000000009001010000cc0402001054696d657320
4e657720526f6d616e004c53f5775553f5770100000000003000040000002d0101000400
0000f001000008000000320a80012e000100000074790a00000026060f000a00ffffffff
0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a000000040000000000000000000100000000003000040000002d0100000400
0000f0010100030000000000на i-тую АС поступит m сообщений;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- вероятность
того, что за время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 на i-тую АС поступит m и более сообщений.

Так как поток сообщений пуассоновский, то имеем:
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picscalex1000100090000035501000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picscalex1000100090000031501000002001c0000000000050000000902000000000500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picscalex1000100090000034302000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picscalex1000100090000038702000003001c0000000000050000000902000000000500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,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,2,…,
N

Изучая поведение КЛВС во вложенные Марковские моменты, получим следующую
процедуру определения стационарных вероятностей сети, которую можно
записать в виде:

P(picscalex1000100090000033b01000002001c00000000000500000009020000000005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)=P(picscalex100010009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)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picscalex100010009000003d501000002001c0000000000050000000902000000000500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где А
-picscalex1000100090000035502000002001c000000000005000000090200000000050
00000020101000000050000000102ffffff00050000002e0118000000050000000b02000
00000050000000c02800400101200000026060f001a00ffffffff000010000000c0fffff
fb6ffffffc00f0000360400000b00000026060f000c004d617468547970650000f0001c0
00000fb0280fe0000000000009001000000020002001053796d626f6c007740000000c30
30aa54c53f5775553f5770100000000003000040000002d01000008000000320a1c032e0
f01000000fa7908000000320a18042e0f01000000fb7908000000320aac012e0f0100000
0f97908000000320a1c03400001000000ea7908000000320a1804400001000000eb79080
00000320aac01400001000000e97908000000320aa002060d010000002b7908000000320
aa002900701000000b47908000000320aa0023e05010000002b791c000000fb02c0fd000
0000000009001000000020002001053796d626f6c007740000000c4030a544c53f577555
3f5770100000000003000040000002d01010004000000f001000008000000320afd02980
801000000d57908000000320afd02d00001000000d5791c000000fb0220ff00000000000
09001000000020002001053796d626f6c007740000000c3030aa64c53f5775553f577010
0000000003000040000002d01000004000000f001010008000000320a130448090100000
03d7908000000320a13048001010000003d791c000000fb0220ff0000000000009001010
000cc0402001054696d6573204e657720526f6d616e004c53f5775553f57701000000000
03000040000002d01010004000000f001000008000000320a15013809010000004e79080
00000320a1304f80801000000697908000000320a0003410c01000000697908000000320
a15017001010000004e7908000000320a1304300101000000697908000000320a0003790
40100000069791c000000fb0280fe0000000000009001010000cc0402001054696d65732
04e657720526f6d616e004c53f5775553f5770100000000003000040000002d010000040
00000f001010008000000320aa002290b010000006d7908000000320aa00261030100000
06d791c000000fb0220ff0000000000009001000000cc0402001054696d6573204e65772
0526f6d616e004c53f5775553f5770100000000003000040000002d01010004000000f00
1000008000000320a1304b70901000000317908000000320a1304ef010100000031791c0
00000fb0280fe0000000000009001000000cc0402001054696d6573204e657720526f6d6
16e004c53f5775553f5770100000000003000040000002d01000004000000f0010100080
00000320aa002a40e01000000297908000000320aa002020e01000000317908000000320
aa0029f0a01000000287908000000320aa002dc0601000000297908000000320aa0023a0
601000000317908000000320aa002d7020100000028790a00000026060f000a00fffffff
f0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656
d000000000a000000040000000000010000000100000000003000040000002d010100040
00000f0010000030000000000 матрица вероятностей переходов из i-того
периодического класса в состояние (i+1) – го класса, элементы которой
вычисляются по формуле:

a(picscalex1000100090000034301000002001c00000000000500000009020000000005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)=picscalex1000100090000038502000002001c0000000000050000000902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,

времена вычисляются по следующим формулам:
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picscalex100010009000003d900000002001c0000000000050000000902000000000500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picscalex100010009000003b501000002001c0000000000050000000902000000000500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picscalex1000100090000030501000002001c0000000000050000000902000000000500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а также вероятность перехода равна нулю, если:

1)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>0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, Q=1,2,3,…, N

2)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Для обоснования правильности формул времени необходимо учитывать
следующие положения:

1) если поступает сообщение, а соответствующий буфер занят полностью, то
сообщение теряется, и при подсчете поступивших сообщений оно не
учитывается;

2) если сообщение не передается, то из данного буфера оно никуда не
может исчезнуть, поэтому если при переходе из некоторого состояния в
соседнее какое-то сообщение теряется, то вероятность данного перехода
равна 0;

3) при передаче сообщения из АС, на которой есть маркер, буфер данной
станции блокируется;

4) со станции с маркером может передаваться не более одного сообщения.

5) на тех станциях на которых нет маркеров может быть вероятность равна
единице в том случае, если в i-том периодическом классе и в (i+1) – вом
буфер станции был полностью занят.

3 Характеристики функционирования несимметричных, многомаркерных КЛВС

3.1 Характеристики функционирования многомаркерной, несимметричной КЛВС
с буферами различной емкости, с N АС и k маркерами (1

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