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
Приложение 1
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Приложение 2
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