Lab Report For Simulation And modeling

[1] Poission's Arrival Parttern::

#include<stdlib.h>
#include<stdio.h>
#include<conio.h>
#include<math.h>
#define e 2.71

void fact(int a);

int main()
{
int lamda;
float x, poi;                                                    
clrscr();

printf("\n service rate 'lamda':");
scanf("%d", &lamda);
printf("\n Enter the capacity of lamda 'x':");
scanf("%f", &x);

poi=(pow(e,(-lamda)))*(pow(lamda,(x)));

printf("\n probability: %f",(1-(poi/fact(x))));
getch();

}

int fact(int a)
{
 if(a==1)
 {
   return 1;
 }
 else
 {
  return (a*fact(a-1));
 }
}


[2] Measures of QUEUE:

#include<stdio.h>
#include<conio.h>

void main()
{
 float mu, lambda, rho, Ls, Lq, Wq, Ws;
 clrscr();
 printf("\n Enter the arrival rate:");
 scanf("%f", &lambda);
 printf("\n Enter the Service rate:");
 scanf("%f", &mu);
 Ls=lambda/(mu-lambda);
 rho=lambda/mu;
 Lq=(lambda*lambda)/mu*(mu-lambda);
 Ws=1/(mu-lambda);
 Wq=lambda/mu*(mu-lambda);
 printf("\n The avg no. of customers in system is: %f",Ls);
 printf("\n Server Utilization:%f", rho);
 printf("\n The avg no. of customers in queue is: %f", Lq);
 printf("\n Avg waiting time in system is: %f", Ws);
 printf("\n the avg waiting time  in the queue is: %f",Wq);
 getch();
 }


[3] Markov chain And Its applications::

#include<stdio.h>
#include<conio.h>

void main()
{
 float mu, lambda, rho, Ls, Lq, Wq, Ws;
 clrscr();
 printf("\n Enter the arrival rate:");
 scanf("%f", &lambda);
 printf("\n Enter the Service rate:");
 scanf("%f", &mu);
 Ls=lambda/(mu-lambda);
 rho=lambda/mu;
 Lq=(lambda*lambda)/mu*(mu-lambda);
 Ws=1/(mu-lambda);
 Wq=lambda/mu*(mu-lambda);
 printf("\n The avg no. of customers in system is: %f",Ls);
 printf("\n Server Utilization:%f", rho);
 printf("\n The avg no. of customers in queue is: %f", Lq);
 printf("\n Avg waiting time in system is: %f", Ws);
 printf("\n the avg waiting time  in the queue is: %f",Wq);
 getch();
 }