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Real-time Database Sync
Computer Science / Algorithms / Computational Complexity

Modified Merge Sort for Large-Scale Data: Algorithm Analysis, Complexity and Evaluation

This Computational Algorithms and Paradigms assignment critically examines a modified merge sort algorithm designed for large-scale datasets. The work focuses on the computational problem of sorting very large collections of data efficiently while preserving the stability and predictable complexity associated with classical merge sort. The analysed approach replaces recursive processing with an iterative successive-merging strategy intended to reduce stack overhead and improve practical performance on large datasets. Dubba ramesh(up) The first section identifies the underlying computational problem and frames the main research questions. These include how standard merge sort can be modified to improve large-scale performance, whether recursion can be replaced with a non-recursive iterative process, whether the proposed double-merge technique reduces resource consumption, and how its computational performance compares with classical merge sort. Dubba ramesh(up) A technical section then reconstructs the algorithm in pseudocode. The modified process begins with subsequences of size one and repeatedly merges adjacent sorted subsequences, doubling the merge size after each iteration until the entire dataset is sorted. This bottom-up approach removes the recursive decomposition used in conventional merge sort. Dubba ramesh(up) The assignment also identifies the algorithm's principal inputs and outputs. Inputs include the dataset, number of elements, subsequence boundaries and temporary storage required during merging. The resulting output is a fully sorted and stable sequence. Dubba ramesh(up) Complexity analysis shows that the modified algorithm processes approximately n elements across log₂(n) merging levels, resulting in O(n log n) time complexity in both best and worst cases. Because an auxiliary array is used during merging, the reported space complexity is O(n). Dubba ramesh(up) The final critical evaluation highlights the main benefits of the modified approach, including removal of recursive-call overhead, greater stability when processing very large datasets, predictable performance and preservation of merge-sort stability. Its main limitation is the continued requirement for auxiliary memory during the merge operation. The work also notes that the performance advantages are most relevant for large-scale datasets and may be less significant for smaller inputs. Dubba ramesh(up) Overall, the assignment integrates algorithm interpretation, pseudocode extraction, input-output analysis, complexity analysis and critical evaluation within the context of large-scale sorting. Note: this upload appears to be the completed student response rather than the original assessment brief, so the referencing style and exact formal overall word limit are not stated. I would leave the reference-style field as Not specified unless you also upload the official 7COM1078 guideline.

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Computer Science / Parallel Computing

Parallel Merge Sort with Load Balancing

This technical research article investigates the performance limitations of conventional parallel merge sort and proposes a load-balanced alternative designed to improve processor utilisation in distributed-memory parallel computing systems. Traditional parallel merge sort progressively reduces the number of active processors during successive merge stages, causing many processors to remain idle and reducing the performance benefits of parallelisation. The proposed approach addresses this limitation by ensuring that all processors continue participating throughout the merging process. Parallel_Merge_Sort_with_Load_B… The paper first explains the conventional parallel merge-sort process, in which data are locally sorted before processors are paired for a series of merging operations. At every subsequent stage, the number of participating processors is halved until only one processor remains responsible for the final merged list. This results in poor processor utilisation and increasing workload concentration. Parallel_Merge_Sort_with_Load_B… The proposed load-balanced parallel merge sort distributes each partially sorted list across multiple processors so that every processor maintains approximately the same number of keys throughout execution. Processor groups use histograms and boundary values to determine how data should be redistributed during merging. Histogram-based partitioning reduces unnecessary data movement, while an index-swapping mechanism is introduced to avoid transferring large blocks of keys when logical processor reassignment can achieve the same result more efficiently. Parallel_Merge_Sort_with_Load_B… Parallel_Merge_Sort_with_Load_B… The algorithm was implemented in C using MPI and experimentally evaluated on a Cray T3E parallel computer and an eight-node PC cluster. Testing considered both uniform and Gaussian key distributions. Results show that performance improvements increase as processor count grows, although communication and histogram-management overhead can reduce benefits for small workloads. Parallel_Merge_Sort_with_Load_B… The proposed technique achieved a maximum merge-phase speedup of 9.6 on a 32-processor Cray T3E and 2.3 on an eight-node PC cluster when processing four million keys. The study concludes that distributing approximately equal workloads across processors can substantially improve parallel merge performance and may also be applicable to related parallel sorting algorithms. Parallel_Merge_Sort_with_Load_B… Overview word count: approximately 330 words. For your portal, I would not label this as university coursework unless you also have the actual assessment brief that uses this paper. This PDF itself only establishes a published academic paper and the authors’ Korea University affiliation.

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