GATE CS 2015 Set 3 Q.31 (CS Q.21): Combinatorics, Counting, Recurrence Relations and Generating Functions

Consider a software project with the following information domain characteristics for calculation of function point metric.

\begin{aligned} \text{Number of external inputs (I)} & = 30 \\ \text{Number of external outputs (O)} & = 60 \\ \text{Number of external inquiries (E)} & = 23 \\ \text{Number of files (F)} & = 08 \\ \text{Number of external interfaces (N)} & = 02 \end{aligned}

It is given that the complexity weighting factors for I, O, E, F and N are 4, 5, 4, 10 and 7, respectively. It is also given that, out of fourteen value adjustment factors that influence the development effort, four factors are not applicable, each of the other four factors have value 3, and each of the remaining factors have value 4. The computed value of function point metric is _____.

Your answer

Official answer and solution

Accepted answers: 612 to 613
From: Official GATE 2015 answer key

Solution

Calculate Unadjusted Function Points (UFP) and Value Adjustment Factor (VAF) using standard Albrecht FP formulas.

Compute Unadjusted Function Points (UFP):

\text{UFP} = \sum (\text{Count} \times \text{Weight})

External inputs (I): $30 \times 4 = 120$
External outputs (O): $60 \times 5 = 300$
External inquiries (E): $23 \times 4 = 92$
Files (F): $8 \times 10 = 80$
External interfaces (N): $2 \times 7 = 14$

\text{UFP} = 120 + 300 + 92 + 80 + 14 = 606

Compute Degree of Influence $\sum F_i$ across 14 adjustment factors:

4 factors not applicable: $4 \times 0 = 0$
4 factors have value 3: $4 \times 3 = 12$
Remaining $14 - (4 + 4) = 6$ factors have value 4: $6 \times 4 = 24$

\sum F_i = 0 + 12 + 24 = 36

Compute Value Adjustment Factor (VAF):

\text{VAF} = 0.65 + 0.01 \times \sum F_i = 0.65 + 0.01 \times 36 = 0.65 + 0.36 = 1.01

Compute Function Point (FP):

\text{FP} = \text{UFP} \times \text{VAF} = 606 \times 1.01 = 612.06

The accepted official range is 612 to 613.

Final answer

612 to 613

Common trap

Omitting the base factor 0.65 in the VAF formula VAF = 0.65 + 0.01 * sum(Fi).

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper: GATE 2015 Computer Science and Information Technology (CS) Session 3
Question: 31 of 65, printed as CS Q.21
Section: Computer Science and Information Technology

This question is from a part of the syllabus that is no longer in GATE CS. It is kept because it was in the paper.

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