Моделирование системы обслуживания с отказами

Построение модели одноканальной системы массового обслуживания с отказами с использованием блоков библиотеки SimEvents. Проведение экспериментов, определение статистических и вероятностных характеристик системы в стационарном режиме; листинг моделей.

Рубрика Программирование, компьютеры и кибернетика
Вид лабораторная работа
Язык русский
Дата добавления 20.05.2013
Размер файла 384,4 K

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Федеральное агентство по образованию

Государственное образовательное учреждение высшего профессионального образования

Ивановский государственный химико-технологический университет

Лабораторная работа №3

Вариант 1

Моделирование систем

Выполнили:

Романычева А.C. гр. 3/42

Стрельников А.А. гр. 3/42

Проверил: Смирнов С.С.

Иваново 2013

Задание

1. Построить модель одноканальной СМО с отказами с использованием блоков библиотеки SimEvents

2. Согласно варианту задания произвести модельные эксперименты и определить статистические характеристики СМО в стационарном режиме

3. Результаты вычислений оформить в виде отчета с подробным описанием работы модели, используемых формул и с необходимым графическим материалом.

Одноканальная СМО с отказами представляет собой одну телефонную линию. Заявка (вызов), пришедшая в момент, когда линия занята, получает отказ. Заявки распределены по закону, наименование и параметры которого указаны в таблице вариантов. Продолжительность разговора распределена по закону, наименование и параметры которого указаны в таблице вариант. Определите вероятностные характеристики СМО в установившемся режиме работы.

Таблица 1

Варианты заданий

№ варианта

Закон поступления заявок

Закон обслуживания заявок

Закон

Параметр, мин

Закон

Параметр, мин

1

Экспоненциальный

10

Равномерный

8 3

Генератор поступления заявок

Задаем в блоке Time-Based Entity Generator:

Лямбда = 10

Облуживание заявок задаем в блоке Subsystem

По заданию у нас равномерное распределение в интервале от 5 до 11.

Блок Replicate отвечает за отказ от заявок.

Блок Entity Sink уничтожает отказанные заявки.

Single Server собственно сам одноканальный сервер.

Время моделирование установлено 5000, чтобы показать, что СМО переходит в стационарный режим, из графика видно, что это так

Всего сгенерировано 509 заявок, из них обслужено 290 заявок.

Коэффициент использования обслуживающего устройства равен 0.4642.

Далее непосредственно мы определяем статистические характеристики СМО:

1. Абсолютную пропускную способность определим по формуле: А=лЧq=5.697 обслуживаний в час.

2. Ротк=1-q= отказано 43%.

3. q мы высчитывали пропорцией между обслуженными и сгенерированными заявками, обслужено 57% заявок.

Вывод: В ходе работы построена СМО с отказами, и вычислены статистические характеристики.

модель одноканальный система отказ

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StatNumberPreempted "Off"

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Приложение 2

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