Core CS

Shortest Job First (SJF)

Shortest Job First (SJF) is a CPU scheduling algorithm that selects the waiting process with the smallest execution (burst) time to run next. By prioritizing shorter tasks, it clears jobs out of the ready queue quickly, which produces the lowest average waiting time among all scheduling strategies. However, it requires knowing or estimating burst times in advance and can cause longer jobs to starve if short jobs keep arriving.

<h2>Definition & Key Points Shortest Job First is a greedy, optimal scheduling policy used in operating systems where the scheduler evaluates all available processes in the ready queue and allocates the CPU to the process requiring the least CPU burst time. If two processes have identical burst times, First-Come, First-Served (FCFS) is typically used as a tie-breaker.<ul><li>Key Advantages:<ul><li>Provably Optimal: Delivers the minimum average waiting time for any given set of stationary processes.</li><li>High Throughput: Completes smaller jobs rapidly, keeping system queues leaner.</li></ul></li><li>Key Disadvantages & Challenges:</li><ul><li>Unpredictability: In general-purpose systems, the exact length of the next CPU burst cannot be known in advance (it must be approximated using techniques like exponential averaging).</li><li>Starvation: Longer jobs may wait indefinitely if shorter processes continuously arrive.</li></ul></ul></h2><h4>Example Problem

</h4>Five processes P1, P2, P3, P4, P5 arrive in the ready queue at different times. Their Arrival Times (AT) and Burst Times (BT) are 1, 5, 7, 2, 6  and 2, 2, 2, 4, 5. Calculate the individual Completion Time (CT), Turnaround Time (TAT), Waiting Time (WT), Average TAT, and Average WT. <img 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