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Transportation and Assignment Problems

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

In applying Vowgel's approximation method to a profit maximization problem, row and column penalties are determined by:

a)

finding the smallest unit cost in each row or column.

b)

finding the sum of the unit costs in each row or column.

c)

finding the difference between the two lowest unit costs in each row and column.

d)

finding the difference between the two highest unit costs in each row and column.

2.

In a transportation problem, when the number of occupied cells is less than the number of rows plus the number of columns -1, we say that the solution is:

a)

Infeasible

b)

Non-Degenerate

c)

Optimal

d)

Degenerate

3.

In a transportation problem, we must make the number of __________ and __________ equal.

a)

destinations; sources

b)

units supplied; units demanded

c)

columns; rows

d)

warehouses; suppliers

4.

In case of an unbalanced problem, shipping cost coefficients of ____________ are assigned to each created dummy factory or warehouse.

a)

high positive costs

b)

high negative costs

c)

zero

d)

one

5.

An assignment problem can be viewed as a special case of transportation problem in which the capacity from each source is ___________ and the demand at each destination is ___________.

a)

1; 1

b)

∞\infty ; ∞\infty

c)

0; 0

d)

-1; -1

6.

In a transportation problem, a single source may supply the units to any number of destinations.

a)

True

b)

False

7.

The cell evaluation dij = Cij - (ui + vj) is used to calculate __________.

a)

Opportunity costs for using a particular route

b)

MODI cost values (ui, vj)

c)

Degeneracy index

d)

Optimality test

8.

It is possible to find an optimal solution for a transportation problem that is degenerate.

a)

True

b)

False

9.

Always a transportation problem possess unique solution.

a)

True

b)

False

10.

Which is true for assignment problem?

a)

The number of rows equals the number of columns

b)

One assignment for each row and each column

c)

All rim requirements are one

d)

All are true