WE SHALL PASS AS ONE SA IE 41


IE 41 - OPERATIONS RESEARCH 1



Reference Books for Operations Research 1

Balanced Transportation Problem


The Epsilon Computers Company sells desktop computers to schools in the university belt and ship them from three (3) distribution warehouses. The firm is able to supply the following numbers of desktop computers to the universities by the beginning of the academic year.

or 1
SOURCE(ORIGIN) DISTRIBUTION WAREHOUSES SUPPLY (pcs)
1
Lapu-Lapu
160
2
Mambaling
60
3
Sanciangko
210
TOTAL
430

Universities have ordered desktop computers that must be delivered and installed by the beginning of the academic year.
or 1
DESTINATION UNIVERSITY DEMANDS (pcs)
A
UC - LM
110
B
UC-MAIN
90
C
UC-METC
230
TOTAL
430
The shipping cost per desktop computer from each distributor to each university are as follows:
or 1
SOURCE (ORIGIN) DESTINATIONS
A
B
C
1
8
6
10
2
11
13
11
3
7
4
5
With cost minimization criterion, EPSILON Company wants to determine how many desktop computers should be shipped from each warehouse to each university.


A. Find the initial basic feasible solution using North-West Corner Method

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B. Find the initial basic feasible solution using Least Cost Method (Greedy Method)

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C. Find the initial basic feasible solution using Vogel’s Approximation

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D. Find the initial basic optimal solution using Stepping Stone Method


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E. Find the initial basic optimal solution using Modified Distribution (MODI) method


Assignment Problem

A plant has 4 operators to be assigned to four (4) machines. The processing time (minutes) required by each operator to produce a product on each machine is shown below.
OR 1 <!-- CSS
MACHINES
OPERATOR
A
B
C
D
ROW
REDUCTION
1
12
13
11
10
2
9
11
6
8
3
12
15
13
14
4
10
16
9
12
-->
A. Determine which machine should be assigned to each operator.B. Determine the Total Minimum Time (minutes)




NOTE: Always assume that the checker of your paper does not know anything.  So always show your solution.





Unbalanced Transportation and Assignment Problem Quiz #2

UNBALANCED TRANSPORTATION PROBLEM

Find the initial basic feasible solution to the following transportation by using the following method: 


1A. North West Corner Method



1B. Least Cost Method



1C. Vogel's Approximation Method

UNBALANCED ASSIGNMENT PROBLEM
 

The University of Cebu has three security heads and four tasks for completion. The employees differ in their capabilities and the tasks differ in their work contents. With the performance given below, which three of the four tasks should be assigned to the security heads?




UNBALANCED ASSIGNMENT PROBLEM (maximization and minimization)


Solution by minimization


Solution by maximization
 



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