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Дисциплины обслуживания вызовов. Простейшая модель обслуживания

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БЕЛОРУССКИЙ ГОСУДАРСТВЕННЫЙ УНИВЕРСИТЕТ ИНФОРМАТИКИ И РАДИОЭЛЕКТРОНИКИ

Кафедра сетей и устройств телекоммуникаций

РЕФЕРАТ

На тему:

«Дисциплины обслуживания вызовов. Простейшая модель обслуживания»

Минск, 2008

Дисциплины обслуживания вызовов

Поступающие потоки сообщений могут обслуживаться без потерь и с
потерями. В первом случае для передачи каждого сообщения немедленно
представляется требуемое соединение, а вот втором – часть сообщений
получает отказ в обслуживании, или обслуживание их задерживается на
некоторое время.

Обслуживание с явными потерями предполагает, что сообщение и
соответствующий ему вызов при получении отказа в немедленном соединении
полностью теряются и на обслуживание больше не поступают.

Обслуживание с условными потерями предполагает, что большинство вызовов
получает немедленное обслуживание, а другие обслуживаются с задержкой
сверх допустимого срока.

Обслуживание с условными потерями может быть организовано по системе с
ожиданием соединения и с повторными вызовами.

На практике целесообразно использовать обслуживание с потерями для
систем с коммутацией каналов (рис. 1).

Рис. 1 Классификация дисциплин обслуживания

Модель с явными потерями

На вход КС поступает входящий поток вызовов, к выходам подключаем пучок
исходящих линий емкостью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, это
означает, что одновременно система может обслужить только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входящих вызовов (рис. 2).

Рис.5 Модель с потерями

Если через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обозначить число вызовов, находящихся на обслуживании в
момент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, то
данную дисциплину обслуживания с потерями можно описать так: поток
вызовов, поступающий в состоянии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, причем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, получает
немедленное обслуживание.

При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 вызов получает отказ и больше на обслуживание не поступает.
Вызов и связанное с ним информационное сообщение теряются.

Характеристики качества обслуживания

Для систем с явными потерями качество обслуживания оценивается с помощью
вероятности потерь сообщений. Различают потери по времени
(picscalex100010009000003c900000002001c000000000005000000090200000000050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) и потери по вызовам
(picscalex100010009000003c900000002001c000000000005000000090200000000050
00000020101000000050000000102ffffff00050000002e0118000000050000000b02000
00000050000000c022002c0011200000026060f001a00ffffffff000010000000c0fffff
fa6ffffff80010000c60100000b00000026060f000c004d61746854797065000050001c0
00000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d6
16e000c020d7e15020d7e20d00f7e00003000040000002d01000008000000320ae001080
1010000004c791c000000fb0280fe0000000000009001010000000402001054696d65732
04e657720526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d010100040
00000f001000008000000320a800146000100000050790a00000026060f000a00fffffff
f0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656
d000000000a0021008a010000000000000000f4f312000efe0c7e040000002d010000040
00000f0010100030000000000).

Вероятность потерь по вызовам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 – это отношение математического
ожидания, потерянных вызовов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 к математическому ожиданию поступивших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.
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Вероятность потерь по вызовам совпадает с вероятностью явной потери
поступившего сообщения.

Вероятность потерь по времени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 характеризует вероятность занятости
всех доступных данному источнику соединительных путей требуемых в данном
направлении.
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На практике потери по времени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 определяют как долю конечного интервала
наблюдения
picscalex1000100090000031501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c022002e0031200000026060f001a00ffffffff000010000000c0ffffff
a6ffffffa0030000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a80012c03
01000000297908000000320a80019501010000002c7908000000320a8001340001000000
28791c000000fb0220ff0000000000009001000000000402001054696d6573204e657720
526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01010004000000f001
000008000000320ae001910201000000327908000000320ae00111010100000031791c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000004000000f00101000800
0000320a8001190201000000747908000000320a8001b2000100000074790a0000002606
0f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc0102
022253797374656d000000000a0021008a01000000000100000074e412000efe0c7e0400
00002d01010004000000f0010000030000000000 в течение которой заняты все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 каналов
обслуживания:
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Таким образом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характеризует потенциальную возможность
потери вызова в промежутке
picscalex1000100090000031501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02200200041200000026060f001a00ffffffff000010000000c0ffffff
a6ffffffc0030000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a80014403
01000000297908000000320a80019501010000002c7908000000320a80011c0001000000
5b791c000000fb0220ff0000000000009001000000000402001054696d6573204e657720
526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01010004000000f001
000008000000320ae0019d0201000000327908000000320ae00105010100000031791c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000004000000f00101000800
0000320a8001190201000000747908000000320a80019a000100000074790a0000002606
0f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc0102
022253797374656d000000000a0021008a010000000001000000f4f312000efe0c7e0400
00002d01010004000000f0010000030000000000.

Как связаны эти 2 две величины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 и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?

Рассмотрим систему с N ресурсами (соединительных линий, каналов).
Измерим время, в течение которого все ресурсы заняты, и отнесем к
рассматриваемому периоду. Это может быть числом минут (или секунд) в
данном часе, когда заняты все линии. Эта доля дает оценку вероятности
того, что все N ресурсов заняты, которая и является вероятностью потерь
по времени или вероятностью блокировки системы –
picscalex1000100090000034901000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c022002c0051200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff80050000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a8001fb04
01000000297908000000320a80014c03010000002c7908000000320a8001d30101000000
28791c000000fb0220ff0000000000009001000000000402001054696d6573204e657720
526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01010004000000f001
000008000000320ae001540401000000327908000000320ae001bc020100000031791c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000004000000f00101000800
0000320a8001d00301000000747908000000320a8001510201000000747908000000320a
800146000100000050791c000000fb0220ff000000000000900101000000040200105469
6d6573204e657720526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01
010004000000f001000008000000320ae0010c010100000042790a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d000000000a0021008a010000000000000000f4f312000efe0c7e040000002d01
000004000000f0010100030000000000.

В качестве другой возможной меры перегрузки подсчитаем общее число
вызовов, поступающих в течение достаточно длительного промежутка
времени, и отметим те из них, которые оказались потерянными из-за
нехватки ресурсов. Вызовы теряются, если в момент его поступления все N
исходящих каналов оказались занятыми. Отношение числа потерянных вызовов
к их общему числу, поступивших в течение времени наблюдения, дает оценку
вероятности потерь
picscalex1000100090000034901000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c022002a0051200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff60050000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a8001ed04
01000000297908000000320a80013e03010000002c7908000000320a8001c50101000000
28791c000000fb0220ff0000000000009001000000000402001054696d6573204e657720
526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01010004000000f001
000008000000320ae001460401000000327908000000320ae001ae020100000031791c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e000c020d7e15020d7e20d00f7e00003000040000002d01000004000000f00101000800
0000320a8001c20301000000747908000000320a8001430201000000747908000000320a
800146000100000050791c000000fb0220ff000000000000900101000000040200105469
6d6573204e657720526f6d616e000c020d7e15020d7e20d00f7e00003000040000002d01
010004000000f001000008000000320ae0010c01010000004c790a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d000000000a0021008a010000000000000000f4f312000efe0c7e040000002d01
000004000000f0010100030000000000, или потерь по вызовам.

Для того чтобы связать эти две величины, воспользуемся следующим
подходом.

Пусть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 – условная вероятность
того, что вызов поступает, когда система заблокирована (т.е. все N
каналов заняты). Пусть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 – безусловная вероятность поступления вызова.
Вероятность поступления вызова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, умноженная на вероятность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 того, что поступающий вызов застает систему в
заблокированном состоянии, должна быть равна вероятности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 того, что система заблокирована, умноженной на
вероятность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 того, что вызов
поступает, когда система заблокирована. В результате получаем:
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,
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Если условная вероятность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 не зависит от
блокирующего состояния системы, т.е. если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picscalex10001000900000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, то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picscalex100010009000003c900000002001c000000000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.

Пропускная способность системы

Под пропускной способностью коммутационной системы понимается
интенсивность обслуженной коммутационной системой нагрузки при заданном
качестве обслуживания в рассматриваемый промежуток времени, т.е.
вероятности потерь вызовов в системе с явными потерями.

Пропускная способность системы зависит от:

· свойств поступающего потока вызовов;

· закона распределения времени обслуживания;

· структуры, емкости коммутационной системы;

· дисциплины обслуживания;

· нормы качества обслуживания.

Простейшая модель обслуживания

Рассмотрим модель обслуживания, показанную на рис. 3.
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Рис. 3 Модель однолинейной системы обслуживания

Вызовы поступают случайным образом со средней интенсивностью
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02c00160011200000026060f001a00ffffffff000010000000c0ffffff
c6ffffff20010000860100000b00000026060f000c004d61746854797065000030001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007e40000000cd13
0a520c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a60013400
010000006c790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
fffff4f312000efe0c7e040000002d01010004000000f0010000030000000000 и
обслуживаются со средней скоростью
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02a00180011200000026060f001a00ffffffff000010000000c0ffffff
2600000040010000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007e400000002414
0a1d0c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a00014000
010000006d790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
ffff94f312000efe0c7e040000002d01010004000000f0010000030000000000.
Параметр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 называется средней
продолжительностью занятия.

Если интенсивность поступления вызовов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приближается к скорости обработки вызовов
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02a00180011200000026060f001a00ffffffff000010000000c0ffffff
2600000040010000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007e400000006713
0aff0c020d7e15020d7e20d00f7e00003000040000002d01000008000000320a00014000
010000006d790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
ffff94f312000efe0c7e040000002d01010004000000f0010000030000000000, то и
поступление последующих вызовов будет заблокировано.

Таким образом стабильность работы системы обеспечивается при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