Снимок работающей программы

Цель работы

Для СМО заданной конфигурации построить имитационную модель и исследовать ее

(разработать алгоритм и написать имитирующую программу, предусматривающую сбор и

статистическую обработку данных для получения оценок заданных характеристик СМО).

Распределение интервалов времени между заявками во входном потоке и интервалов времени

обслуживания – геометрическое с соответствующим параметром (ρ, π1, π2).

 

Исходные данные (Вариант 10)

Структура СМО:

 

ρ	π1	π2	Цель исследования
0,5	0,45	0,35	Q

 

Анализ задания

Граф состояний кодируется четырёхкомпонентным вектором TNK1K2, где

T — время до выдачи очередной заявки источником, T = {2, 1, 0}:

2 — два такта до выдачи заявки;

1 — один такт до выдачи заявки;

0 — источник заблокирован.

N — длина очереди, N = {0, 1}:

0 — очередь пуста;

1 — одна заявка в очереди.

K1 и K2 — состояние каналов обслуживания, Ki = {0, 1}:

0 — канал свободен;

1 — канал занят.

Матрица переходов

0,28   0,23 0,28 0,23             0,28 0,08 0,15 0,28 0,15 0,08               0,50     0,28 0,08 0,15           0,50   0,28     0,23     0,33 0,18     0,18         0,33     0,28   0,23 0,28 0,23           0,18 0,10 0,08 0,15 0,28 0,15 0,08             0,35 0,15     0,28 0,08 0,15         0,28 0,23     0,28   0,23     0,50                 0,50

 

 

Граф состояний

 

Расчёт параметров системы

Исходя из графа состояний получим систему уравнений:

0.325*p0001+0.179*p0011+0.5*p0000-p1010=0 0.275*p1010-0.725*p1011+0.175*p0001+0.275*p0010+0.096*p0011=0 0.07875*p1011+0.07875*p0011+0.354*p0111+0.275*p0110-p1111=0 0.225*p1010+0.146*p1011+0.5*p1111-0.5*p1110+0.225*p0010+0.146*p0011+0.146*p0111+0.225*p0110=0 0.275*p1010+0.275*p1011-0.825p0001+0.275*p0010+0.275*p0010=0 0.225*p1010+0.146*p1011+0.275*p1110-0.725*p0010+0.146*p0011=0 0.07875*p1011+0.275*p1111-0.921*p0011+0.275*p0111+0.275*p0110=0 0.07875*p1111-0,921*p0111=0 0.146*p1111+0.146*p0111+0.275*p1110-0.775*p0110=0 0.325*p0001-0.5*p0000=0 p1010+p1111+p1110+p0001+p0010+p0011+p0111+p0110+p0000+p1011=1

 

 

Текст программы

using System;

using System.Collections.Generic;

using System.ComponentModel;

using System.Data;

using System.Drawing;

using System.Linq;

using System.Text;

using System.Threading.Tasks;

using System.Windows.Forms;

 

namespace l3

{

public partial class Form1: Form

{

//

double x0 = 2014;

double a = 281;

double c = 28411;

double m = 134456;

double x1 = 0.0;

 

List<Label> labelaArr = new List<Label>();

string[,] arr = new string[,] {{"-", "1010", "1011", "1111", "1110", "0001", "0010", "0011", "0111", "0110", "0000" },

{"-","0","0","0","0","0","0","0","0","0","0"}};

double[] arr1 = new double[300];

 

Double findNumber = 0.0;

Double step1;

Double step2;

Double step3_main;

Double step3_part;

Double step4;

//

 

string[,] arrayState = new string[,] {{"-","1010","1011","1111","1110","0001","0010","0011","0111","0110","0000"},

{"1010","0","0,257","0","0,5","0,775","1","0","0","0","0"},

{"1011","0","0,257","0,354","0,5","0,775","0,921","1","0","0","0"},

{"1111","0","0","0","0,5","0","0","0,775","0,854","1","0"},

{"1110","0","0","0","0,5","0","0,775","0","0","1","0"},

{"0001","0,325","0,5","0","0","0,675","0","0","0","0","1"},

{"0010","0","0,275","0","0,5","0,775","1","0","0","0","0"},

{"0011","0,179","0,275","0,354","0,5","0,775","0,921","1","0","0","0"},

{"0111","0","0","0,354","0,5","0","0","0,775","0,854","1","0"},

{"0110","0","0","0,275","0,5","0","0","0,775","0","1","0"},

{"0000","0,5","0","0","0","0","0","0","0","0","1"}};

 

string[,] arrayData = new string[,] { {"0","0,257","0","0,225","0,275","0,225","0","0","0","0"},

{"0","0,257","0,07875","0,146","0,275","0,146","0,07875","0","0","0"},

{"0","0","0","0,5","0","0","0,275","0,07875","0,146","0"},

{"0","0","0","0,5","0","0,275","0","0","0,225","0"},

{"0,325","0,175","0","0","0,175","0","0","0","0","0,325"},

{"0","0,275","0","0,225","0,275","0,225","0","0","0","0"},

{"0,179","0,096","0,07875","0,146","0,275","0,146","0,07875","0","0","0"},

{"0","0","0,354","0,146","0","0","0,275","0,07875","0,146","0"},

{"0","0","0,275","0,225","0","0","0,275","0","0,225","0"},

{"0,5","0","0","0","0","0","0","0","0","0,5"}};

 

public Form1()

{

InitializeComponent();

labelaArr.Add(label1);

labelaArr.Add(label2);

labelaArr.Add(label3);

labelaArr.Add(label4);

labelaArr.Add(label5);

labelaArr.Add(label6);

labelaArr.Add(label7);

labelaArr.Add(label8);

labelaArr.Add(label9);

labelaArr.Add(label10);

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

dataGridView1.Rows.Add();

for (int i = 0; i < 10; i++)

{

for (int j = 0; j < 10; j++)

{

dataGridView1.Rows[i].Cells[j].Value = arrayData[i, j];

}

}

 

}

 

private void button1_Click(object sender, EventArgs e)

{

string beginState = "0000";

for (int i = 0; i < 1000; i++)

{

x1 = x0;

findNumber = s_part(x1);

x0 = s_main(x1);

listBox1.Items.Add(findNumber.ToString().Remove(5));

for (int i_i = 0; i_i < 11; i_i++)

{

if (beginState.Equals(arrayState[i_i, 0]))

{

for (int j_j = 1; j_j < 11; j_j++)

{

if (findNumber < Convert.ToDouble(arrayState[i_i, j_j]))

{

beginState = arrayState[0, j_j];

listBox2.Items.Add(beginState);

arr[1, j_j] = (Convert.ToInt32(arr[1, j_j]) + 1).ToString();

break;

}

}

}

}

}

int counter = 1;

for (int i = 0; i < 10; i++)

{

labelaArr[i].Text += " - - " + (Convert.ToDouble(Convert.ToDouble(arr[1, counter])) / 1000).ToString();

counter++;

}

}

private double s_part(double x0_)

{

 

step1 = 0.0;

step2 = 0.0;

step3_main = 0.0;

step3_part = 0.0;

step4 = 0.0;

//step one

step1 = x0_ * a;

 

//step two

step2 = step1 + c;

 

//step three

step3_main = step2 / m;//целая часть

step3_part = step2 % m;//остаток от деления

 

//step four

step4 = step3_part / m;

 

return step4;

}

private double s_main(double x0_)

{

step1 = 0.0;

step2 = 0.0;

step3_main = 0.0;

step3_part = 0.0;

step4 = 0.0;

//step one

step1 = x0_ * a;

 

//step two

step2 = step1 + c;

 

//step three

step3_main = step2 % m;//целая часть

 

return step3_main;

}

}

}

 

Снимок работающей программы