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Title Transportation Cost Problem
Author K.Jayanth
Author Email jayc02msc [at] drmcet.org
Description Operation Research :Transportation Problem
This transportation Problem will give the estimate the cost of the transportation.It consists of the supply and Demand.There are
two conditions
1)if supply greater than demand then element values * demand and supply will be subtracted from demand
2)If suppply less than demand then element values * supply and demand will be subtracted from supply.
Finally cost matrix is printed and the Sum of the allocated Matrix can be also calculated.The final sum is the Transportation Cost

Category C » Mathematics
Hits 385074
Code Select and Copy the Code
Code : /************************************************************************* **/ /* */ /* Title : Transportation Problem in Operation Research */ /* Author : K.JAYANTH IV Msc(Software Engineering) */ /* College : Dr.Mahalingam College Of Engineering and Technology */ /* Mail-ID : jayc02msc@drmcet.org */ /* */ /* *********************************************************************** */ /* Look last of coding for SAMPLE INPUT*/ #include<stdio.h> #include<conio.h> main() { int flag=0,flag1=0; int s[10],d[10],sn,eop=1,dm,a[10][10]; int i,j,sum=0,min,x[10][10],k,fa,fb; clrscr(); /* Getting The Input For the Problem*/ printf("Enter the number of Supply "); scanf("%d",&sn); printf("Enter the number of Demand "); scanf("%d",&dm); printf("Enter the Supply Values "); for(i=0;i<sn;i++) scanf("%d",&s[i]); printf("Enter the Demand Values "); for(j=0;j<sn;j++) scanf("%d",&d[j]); printf("Enter the elements of the array "); for(i=0;i<sn;i++) { for(j=0;j<dm;j++) { scanf("%d",&a[i][j]); } } /* Calculation For the Transportation */ i=0;j=0; for(i=0,j=0;i<sn,j<dm;) { if(s[i]<d[j]) // Check supply less than demand { x[i][j]=a[i][j]*s[i]; // Calculate amount * supply d[j]=d[j]-s[i]; // Calculate demand - supply i++; // Increment i for the deletion of the row or column } else if(s[i]>=d[j]) //Check the supply greater than equal to demand { x[i][j]=a[i][j]*d[j]; // Calculate amount * demand s[i]=s[i]-d[j]; // Calculate supply - demand j++; // Increment j for the deletion of the row or column } } /* The Cost Matrix is Estimated here */ printf("Given Cost Matrix is : "); for(fa=0;fa<sn;fa++) { for(fb=0;fb<dm;fb++) { printf("%d ",a[fa][fb]); } printf(" "); } /* The Allocated Cost Matrix is */ printf("Allocated Cost Matrix is "); for(fa=0;fa<sn;fa++) { for(fb=0;fb<dm;fb++) { printf("%d ",x[fa][fb]); sum=sum+x[fa][fb]; } printf(" "); } /* Transportation Cost Estimated and Sum is Printed*/ printf("The Transportation cost:%d ",sum); getch(); } /* SAMPLE INPUT 11 13 17 14 16 18 14 10 21 24 13 10 11 11 11 11 Given Cost Matrix is : 11 13 17 14 16 18 14 10 21 24 13 10 11 11 11 11 Allocated Cost Matrix is 2200 650 0 0 0 3150 700 0 0 0 2925 500 0 0 0 2200 The Transportation cost:12325 */

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