The transportation problem in Operations Research can be solved using three primary methods: Northwest Corner Method (NWCM), Least Column Method (LCM), and VAM (Vogel's Approximation Method). In NWCM, starting from the top-left cell, allocate the minimum of supply and demand, then eliminate the satisfied row or column and repeat. In LCM, find the minimum value in each column and allocate accordingly. Both methods yield an Initial Basic Feasible Solution (IBFS) by multiplying allocated values by their costs and summing the results. The Hungarian Method, while mentioned, is less important and primarily tested through theory questions. For examinations, students should master NWCM and LCM as they are the most commonly tested methods.
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MANAGEMENT SCIENCE | BBA SEM-4 | UNIT-5 EXPLAINATION | 16M OSMANIA UNIVERSITY | @shivanipallelaAdded:
problematic what we should do?
>> Really one theory you need to learn related to the theory theory. That is theory answer. And remaining problematic this three problematic and Hungarian method is also problematic. So four problematic methods and one theory you need to learn.
>> Okay.
>> Okay.
>> It will be easy only not much difficult.
Okay?
>> Okay.
>> So not to worry.
>> Ma'am, the other Yes.
Ma'am, the other boy is not there I think.
>> That fellow is not there, huh? Okay.
We already reserved in office.
So we are having three methods, huh? So first I'll explain northwest corner method. And you can do this In this also northwest corner method and LCM method is most important.
Hungarian method is a little bit important. So what you do is prepare northwest corner method, prepare east corner method, and prepare theory.
Hungarian method Just look into that, okay? Anyway, I'll explain so you will uh clarify. Okay?
>> Yes, ma'am. And that VAM, ma'am?
>> VAM is not much important.
>> Okay.
>> See, they will ask They will give the data and they will ask you to calculate IBSS.
To calculate this IBSS out out of three methods, you can use any one method.
Either northwest corner method, either least square method, either van method.
So, compared to these three methods any one method if you're preparing it will be okay. So, that's why I'm saying northwest corner method and least square method if you're preparing it is your wish in the examination time. Whether you will use this method or this method.
Okay?
>> We can use any method, ma'am.
>> Any one method only, either northwest or LCM.
Okay? So, how to do this northwest corner method means See here the table. You're having the material, right?
>> Yes, ma'am.
>> See here what they have given. Supply they have given, demand they have given.
9 2 3 I will write it.
So, how to do this means So, P Q R S T and U. This is supply. Okay? P Q R S T and U.
>> Ma'am, what is the page number?
>> 157, ma'am.
>> Okay.
>> Here you are having A B C and D. This is demand.
Whatever there in the question, same I have wrote like that only, okay? What is the value we are having? 9 7 6 6 4 12 3 5 8 4 9 6 9 10 5. See here only I'll directly explain I will be using So, whatever the data they are having, no? So, same data we need to draw it here.
Okay? What is the method name? Northwest corner method, yes?
>> Yes, ma'am. Ma'am, will they mention which method we should use or we can do any method?
>> transportation problem. In transportation problem you can use northwest corner method or least column method or VAM.
Specifically, they are not asked this method only you need to do. They are not asked.
Northwest corner method only is very easy.
>> Okay.
>> So, northwest corner method means what is the first value you are having? Nine over here, no?
Yes?
Nine.
In column you are having five.
In column wise you are having four, in row wise you are having the five. Yes?
Here you are having five, here you are having four. What is the least value?
Five or four?
>> Four, ma'am.
>> So, four, right? So, here in the round column you need to write four. You need to deduct this column.
You need to just deduct that column like like this.
See.
What is the least value?
Four. So, this column is deducted in now. Only this value is there.
So, this column is deleted, no?
Next to northwest column is this one, right?
So, here you are having one. Here you are having three. What is the least value? One. That means row is deleted.
>> Yes, ma'am.
>> This column is deleted. This row is deleted. Now, next to northwest column is three.
Yes?
Here you are having three. Here also you are having three.
So, both >> Three. Yes, ma'am.
>> deleted. Both the columns will be deleted because here also you are having three, here also you are having three. Okay?
So, that's why in the round we are writing three. Okay? Next Next to it seven.
Here you are having three. Here you are having six.
Okay? What will be deleted? Three will be deleted because three is the least value, no? So, this column is deleted.
Okay? Like this it will be there. Next is this.
>> Yes, ma'am.
>> Two or six?
Two.
That means this column is deleted.
Yes.
Yes.
Yes.
So, >> [clears throat] >> Yes. So, How to do this nine means four, right? Four. So, after the calculation, so 9 into 4 plus Here what are you having? 12 into 1 plus 3 into 3 plus 7 into 3 plus 9 into 2.
plus plus 10 into 2 10 into Yes.
After doing that After multiply Okay. multiply multiply So, total how much you're getting? 100 139 Yes, ma'am.
Yes, ma'am.
Ma'am, can you show that one?
>> Which one, ma'am? This one?
>> Ma'am, that uh deducting from the table, that part.
>> This one?
Okay?
>> How to deduct, ma'am?
Uh hm? Can you explain? Can you explain again, ma'am, how to deduct that from table?
>> Yeah, I'm taking a small table so that it will be easy to understand. See here, S1 is to S3 is there. Here you're having D1, D2, D3 is there. Okay? This is supply and this is demand. Okay, like this it is there. So, 8 5 6 15 10 12 3 9 10. So, here you're having 120 80 80. Here you're having 150 80 50. So, 150 + 50 is 200. 200 + 80 is 280.
So, 2 120 + 80 is 200. 200 + 80 is 280.
So, when you're seeing in a column wise, when you're seeing the row wise, it's becoming 280 only. Yes?
>> Yes, ma'am.
>> Northwest corner method, first value, first cell will become northwest corner method. 120 is uh less than 150 is less than >> 120, ma'am.
>> 120. So, here I'm writing 120 in the table and here I'm deducting this row.
So, >> Okay.
>> 120, how much is it left over? 30 is left over here. Yes?
>> Yes, ma'am.
>> Northwest corner method, this row this column is this row is deducted. Next this row is there.
80 or 80?
>> Yes, ma'am.
>> 30 is least.
>> 30, ma'am.
>> This column is deducted. 80 minus 30 is 50.
>> Yes, ma'am.
>> 50 or 80? 50. So, here I'm writing 50 and going to deduct this. 50 minus 80 80 minus 50 is 30.
>> 30.
>> 80 or 30? 30.
>> 30.
>> This cell is having 30 and we get it.
Here it will become 50, yes?
>> Yes, ma'am.
>> Column is having 50, here also 50. That means column is rejected, row is rejected.
Over. Now, what is the cell value we are having here? 120 into 8.
120 into 8 plus next to 30 into 50, right?
Plus 50 into 10 plus 30 into 9 plus next to this value, right?
50.
>> Yes, ma'am.
>> 50 into 50. You need to add all these things. Whatever the final answer you will get, that will be called IBFS.
Clear?
>> Okay, ma'am.
>> This is called northwest corner method.
Northwest corner method is first to say.
>> Yes, ma'am.
>> Okay?
Okay? Next one you are having least column method, no? How to take this least column method?
>> In a column in a column, what is the least value you are having? 70, right?
17 is the least value.
>> Yes, ma'am.
>> 21, 70, 32. So, here you are having 13, here you are having 6. What will be deducted?
6 will be deducted.
Okay? Like this >> Yes, ma'am.
Yes, ma'am.
>> So, column method table in in the name only you will easily get it, right?
Least column method means in a column, we should not take first value. In a column, what is the least value that you need to take it first. Same calculation.
Least whatever you are having >> Yes, ma'am.
Okay.
Yes, ma'am.
Yes, ma'am.
Yes, ma'am.
Yes, ma'am.
No.
Yes, ma'am.
1 minute.
Very good.
>> Okay.
Okay.
Yes.
48 60 48 Okay.
Yes.
Yes.
>> 11, ma'am.
>> Okay.
So 15 >> Yes.
>> 4 >> 4 >> Next >> 13 4 9 Yes, ma'am.
Yes, ma'am.
Yes, ma'am.
Next to here Yes, ma'am. Least 18 Here So So 19 three is >> 670 >> Yes, ma'am.
>> Next one.
So, how you will do this? So, 11 into three plus nine into 14 plus 14 into 13 plus three into 18. So, whatever the things we have got one, two, three, four. Four we have got. That four you need to multiply, you need to add it. That is the answer.
>> Okay.
>> Least column method. You need to take the each column what is the least value.
Clear?
>> Yes, ma'am.
Yes, almost fixed.
>> So, least column method and northwest corner method, you do it. And Hungarian method is not much important, but I will explain roughly.
Hungarian method is nothing but Uh let me tell you it will be a very lengthy topic the Hungarian method.
>> Yes.
>> So, they are asking one theory and one problematic. So, if you are feeling very difficulty in Hungarian method means I got question Hungarian method may poochay to go with the theory.
No problem. Other question problematic question northwest corner method or uh uh LCM method or transportation method coming to attempt problematic only rather than theory. Okay? Hungarian method maximum they ask theory.
Maximum they ask transportation problem only. Okay? Or else theory and transportation will be What do you say?
>> Yes.
>> Here Hungarian method is nothing but theory plus transportation problem you be perfect. In transportation problem we have discussed northwest corner method and least column method, no? This two >> Yes, ma'am.
>> problematic you be perfect. along with the here.
>> Okay, ma'am.
>> Okay.
>> Yes, ma'am.
>> here what we need to do is means Hungarian method is nothing but the assignment problem. In each row and in each column, at least one job should be there.
So, in a column, what is the least value? 8 26 79 11. 8 is the least value.
So, in the place of 8, we need to keep 0.
Next, in the second one, 13 28 4 and 26.
4 is the least value. So, that that it is 0. Yes?
Now, in the third column, 15 >> 50 is the least value. So, that's why in 50's place, we are keeping 0.
In the fourth column, 8 is the least >> value. So, that's why we are keeping 0.
Least value is 0.
Okay?
>> Yes, ma'am.
>> 0 in first, 0 in third, 0 double 0 in fourth. And that's why here we are having two jobs in fourth.
0 and 0 in one column only, no? So, that means you are having two jobs.
So, we need to do the column reduction after. How to do the column reduction?
Now, check out in the column. What is the least value in the column, right?
Again, 8.
Least value >> Yes, ma'am.
>> 19.
>> 8.
>> So, in the place of 8 and in the place of 19, keep it 0. Now, here in the third column, 4 is the least value. So, here only. In the fourth one, 10 is the least.
So, here. Now, check out here.
>> In each row and in each column, at least one job you are having, no?
In A, you are having first the job. In B, you are having third job. In C, you are having second job. In D, you are having fourth job. Yes?
>> Yes, ma'am.
>> A, first job. B, third job. C, second job. D, fourth job. Like that, in every column and in every row, you at At you need to have one job. One job is nothing new. At least one zero you should have.
Double zero >> Yes, ma'am.
>> Again you need to do the column reduction. After you do that you are having double zero you need to again do the row reduction, column reduction, row reduction, column reduction.
Like it will continue till end.
Okay?
>> Yes, ma'am.
>> So that's it. So be perfect with transportation problem in unit number five, that is northwest corner method, least column method and theory part.
That's it.
Okay?
>> Okay.
>> We are going to discuss related to queuing theory.
What is meant by queue?
When we are going into any to collect the hospital from your college, we will form a queue line, no?
Why we will form a queue line?
>> Why we will form a queue line? To get the product easily, to save the time. Yes? This diagram you need to draw.
You need to learn from only one answer.
That is queuing theory conceptual framework of queuing theory. In the examination you don't find queuing theory in the question or queue in the question. This is the only answer you need to learn.
Okay?
>> Okay, ma'am.
Yes, ma'am.
>> Now make sure note down in the management and what we have discussed, no?
From unit number one, here completely theory.
In unit number two we have discussed job sequencing.
Yes?
>> Yes, ma'am.
>> Unit number three is assignment problem and this two problem only.
Unit number four completely theory. Unit number five is transportation problem, that is NWCM method and VAM method and along with that queuing theory theory.
This part only be perfect. And from unit number four, what is the theory answer you will learn? Only one answer, no?
That is called LPP answer. Now page number 120, question number 16.
Okay?
>> Yes, ma'am.
>> Question number 16.
Question number 16. Together you have to 1 minute. Not that question.
In unit number four, one question you will read the theory means overall theory, that is operations research related theory answer you need to learn.
So, what is the answer for that you are having means?
Managerial operations. Like two to three questions you are having means you need to merge all that. Like for example, you need to learn the operations research. From first unit I have explained operations research, no?
The same topic you are having for fourth unit also. So, operations operations research meaning, operations research definition, and side points.
This side >> Okay, ma'am.
>> and disadvantages. Together you need to learn. Advantages five, disadvantages over five. Total 10 points.
>> Yes, ma'am.
>> Okay?
>> Yes. Yes, ma'am. Ma'am, once can you send these questions in WhatsApp?
>> Yeah, I'll send it after the class I'll send it. So, unit four only one answer related to the operations research, unit five only one theory answer related to the queuing theory. Unit three is problematic, unit two is also problematic. And in unit number two also just look into this theory questions, now. What is that question? Plant layout.
Sometimes they're asking theory also.
What is that topic?
Only one answer only, no? You can easily learn.
>> Okay, ma'am.
>> Because for the safe side I'm doing even though you are perfect in the problem if the evaluator is willing to give a easy paper, sometimes that fellow will give this theory answers.
>> Okay, ma'am.
>> I'll send you the question.
So, except the unit Except the unit two, three, remaining first unit, second unit, fourth, fifth, four questions, four theory questions you are learning. And unit two, unit three, unit five problematic you are learning. Okay? You should have the clarity what you are Okay? After the class I will tell you the unit two theory, unit three theory.
All theory questions I will send the pictures. Just make sure you write it in your notes now. Okay?
>> Okay, ma'am.
>> But one thing you
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