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GO Classes DPP | OS | RESOURCE ALLOCATION

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Consider a system with $4$ processes that share $16$ instances of the same resource type. Each process can request a maximum of $K$ instances. Resources can be requested and released only one at a time. The largest value of $K$ that will always avoid deadlock is:

2 Answers

1 1 vote

The maximum number of resources that can be held by $N$ processes without causing a deadlock is given by the formula:

$$
\text { Max Held Resources }<R
$$

$$
\mathbf{4 \times(K-1) + 1 \leq 16}
$$

$$
\begin{aligned}
& K-1 \leq \frac{15}{4} \\\\
& K-1 \leq 3.75
\end{aligned}
$$
$$
K \leq 4.75
$$


Since $K$ must be an integer (number of resource instances), the largest integer value of $K$ that satisfies this condition is $\mathbf{4}$.

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