Round Robin (RR)
Round Robin (RR) is a preemptive CPU scheduling algorithm designed primarily for time-sharing systems. It allocates a fixed slice of time—known as a time quantum or time slice—to each process in the ready queue in a cyclic order. If a process does not finish within its allocated time, the CPU preempts it, places it at the tail of the ready queue, and assigns the CPU to the next process. This ensures fair CPU distribution, prevents starvation, and provides fast response times for interactive applications.
<h2><!--StartFragment--><p><b>Detailed Definition & Key Characteristics</b></p><p>In Round Robin scheduling, the ready queue operates strictly as a First-In, First-Out (FIFO) circular queue. The operating system timer interrupts the executing process when the allocated quantum expires, triggering a context switch.</p><ul><li><p><b>Preemptive Nature:</b> The CPU does not wait for a process to finish; it actively preempts any process whose execution time reaches the time quantum limit.</p></li><li><p><b>Starvation-Free:</b> Because every process gets a guaranteed turn within a finite cycle, no process suffers from starvation.</p></li><li><p><b>Fair Allocation:</b> Each active process receives roughly $1/n$ of the CPU time in chunks of at most $q$ time units, where $n$ is the number of processes.</p></li></ul><p><b>Advantages and Disadvantages</b></p><p><b>Advantages</b></p><ul><li><p><b>Fair Resource Sharing:</b> Every job receives an equal share of the processor without bias toward shorter or longer jobs.</p></li><li><p><b>Low Response Time:</b> Ideal for interactive and time-sharing environments because processes start executing almost immediately.</p></li><li><p><b>No Starvation:</b> Eliminates the convoy effect and starvation since longer jobs are repeatedly preempted to let other jobs run.</p></li></ul><p><b>Disadvantages</b></p><ul><li><p><b>Context Switching Overhead:</b> Frequent preemptions cause frequent context switches, consuming valuable CPU cycles for state saving and restoration.</p></li><li><p><b>Higher Average Turnaround Time:</b> Because all processes progress simultaneously rather than finishing one by one, the average turnaround time can be significantly higher than in algorithms like Shortest Job First (SJF).</p></li><li><p><b>Quantum Sensitivity:</b> System performance heavily depends on picking the optimal quantum size; finding the balance between responsiveness and switching overhead is difficult.</p></li></ul><p><b>Example Problem</b></p><p><!--StartFragment-->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.(Quantum Time = 2)<!--EndFragment--><b></b></p><!--StartFragment--><br><!--EndFragment--></h2><div><img 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