Core CS

Shortest Remaining Time First (SRTF)

Shortest Remaining Time First (SRTF) is the preemptive version of Shortest Job First (SJF) CPU scheduling. In this algorithm, the operating system allocates the CPU to the process that has the smallest amount of burst time remaining. If a newly arrived process requires less time to complete than the currently executing process, the CPU preempts (interrupts) the running task and context-switches to the shorter one.

<h3>Detailed Definition & Mechanism</h3><h2>In operating systems, SRTF manages process execution dynamically based on workload duration. The scheduler maintains an active queue of ready processes sorted by their remaining execution time. At every arrival event or clock tick, the operating system compares the remaining burst time of the currently active process with all ready candidates. By consistently allocating CPU resources to jobs that need the least time to finish, SRTF minimizes total task backlog and idle wait times across the system.Key Points:<ul><li>Preemptive nature: Running processes can be interrupted midway through execution if a shorter task arrives.</li><li>Optimal average waiting time: Mathematically provides the lowest possible average waiting time among all scheduling algorithms for a fixed set of processes.</li><li>Continuous re-evaluation: Scheduling decisions occur at process arrivals, completions, and I/O interrupts rather than strictly at process termination.</li><li>Execution tracking: The OS must record both total CPU burst time and elapsed execution time to calculate the remaining duration continuously.</li></ul></h2><h3>Advantages & Disadvantages</h3><h2>Advantages:<ul><li>Minimal wait times: Short tasks clear out rapidly, significantly lowering average waiting time (WT) and turnaround time (TAT).</li><li>High responsiveness for interactive tasks: Quick background tasks and interactive I/O-bound jobs finish almost immediately without queuing behind long computations.</li><li>High system throughput: Completes the maximum number of distinct processes in any given initial time slice.</li></ul>Disadvantages:<ul><li>Starvation risk: Long processes can starve indefinitely if shorter processes arrive continuously.</li><li>High scheduling overhead: Frequent context switching consumes CPU cycles and invalidates hardware cache lines.</li><li>Impractical burst estimation: Knowing the precise remaining burst time in advance is difficult; operating systems must estimate burst lengths using heuristics (like exponential smoothing).</li></ul></h2><h4>Example Problem</h4>Five processes P1, P2, P3, P4 and P5 arrive in the ready queue at different times. Their Arrival Times (AT) and Burst Times (BT) are 1, 5, 3, 2, 6 and 1, 2, 5, 4, 5. Calculate the individual Completion Time (CT), Turnaround Time (TAT), Waiting Time (WT), Average TAT, and Average WT. <img 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" 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