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Resource management approaches based on Virtual Machine (VM) migration, job prioritization, and other methods were used to overcome this problem. A Minimized Upgrading Batch VM Scheduling (MSBP) has recently been developed, which reduces the number of batches required to complete a system-scale upgrade and assigns bandwidth to VM migration matrices. However, due to poor resource sharing caused by suboptimal VM utilization, the MSBP was unable to effectively ensure the global best solutions. In order to distribute resources and schedule tasks optimally during VM migration, this paper proposes the MSBP with Multi-objective Optimization of Resource Allocation (MORA) method. The major goal of this proposed methodology is to take into account different objectives and solve the Pareto-front problem to enhance lifetime of the fog-edge network. First, it formulates an NP-hard challenge for MSBP by taking into account a variety of factors such as network sustainability, path contention, network delay, and cost-efficiency. The Multi-objective Krill Herd optimization (MoKH) algorithm is then used to address the NP-hard issue using the Pareto optimality rule and produce the best solution. First, it introduces an NP-hard challenge for MSBP by accounting in network sustainability, path contention, network latency, and cost-efficiency. The Pareto optimality rule is then implemented to overcome the NP-hard problem and provide the optimum solution employing the Multi-objective Krill Herd optimization (MoKH) algorithm. This increases network lifetime and improves resource allocation cost efficiency. Finally, the simulation results show that the MSBP-MORA distributes resources more efficiently and hence increases network lifetime when compared to other traditional algorithms.<\/jats:p>","DOI":"10.3233\/jifs-213520","type":"journal-article","created":{"date-parts":[[2022,8,5]],"date-time":"2022-08-05T11:19:33Z","timestamp":1659698373000},"page":"5985-5995","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["A multi-objective optimization of resource management and minimum batch VM migration for prioritized task allocation in fog-edge-cloud computing"],"prefix":"10.1177","volume":"43","author":[{"given":"K.N.","family":"Apinaya Prethi","sequence":"first","affiliation":[{"name":"Coimbatore Institute of Technology","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Sangeetha","sequence":"additional","affiliation":[{"name":"Coimbatore Institute of Technology","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2022,7,30]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"crossref","unstructured":"LynnT. 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