Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques
This paper is concerned with the optimal control of a Markovian queueing system subjected to multiple adaptive vacation and working vacation policies. This system is applicable in diverse modern technologies, in particular in call centers. We establish the steady-state solution as well as important...
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| Format: | Article |
| Language: | English |
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Wrocław University of Science and Technology
2024-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_11.pdf |
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| author | Ramachandran Remya Amina Angelika Bouchentouf Kaliappan Kalidass |
| author_facet | Ramachandran Remya Amina Angelika Bouchentouf Kaliappan Kalidass |
| author_sort | Ramachandran Remya |
| collection | DOAJ |
| description | This paper is concerned with the optimal control of a Markovian queueing system subjected to multiple adaptive vacation and working vacation policies. This system is applicable in diverse modern technologies, in particular in call centers. We establish the steady-state solution as well as important system characteristics by means of probability generating functions technique. We also construct the expected total cost for this model and develop a procedure to determine the optimal service rate that yields the minimum cost. Further, we carried out a comparative analysis to obtain the minimum cost using the Newton-Raphson method and particle swarm optimization (PSO) algorithm. (original abstract) |
| format | Article |
| id | doaj-art-d574468aa3fa48a28100dc2626dd576e |
| institution | Kabale University |
| issn | 2081-8858 2391-6060 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj-art-d574468aa3fa48a28100dc2626dd576e2025-08-20T03:50:05ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602024-01-01vol. 34no. 3205220171700384Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization TechniquesRamachandran Remya0Amina Angelika Bouchentouf1Kaliappan Kalidass2Karpagam Academy of Higher Education, Tamil Nadu, IndiaUniversity of Saida - Dr. Moulay Tahar, AlgeriaKarpagam Academy of Higher Education, Tamil Nadu, IndiaThis paper is concerned with the optimal control of a Markovian queueing system subjected to multiple adaptive vacation and working vacation policies. This system is applicable in diverse modern technologies, in particular in call centers. We establish the steady-state solution as well as important system characteristics by means of probability generating functions technique. We also construct the expected total cost for this model and develop a procedure to determine the optimal service rate that yields the minimum cost. Further, we carried out a comparative analysis to obtain the minimum cost using the Newton-Raphson method and particle swarm optimization (PSO) algorithm. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_11.pdf |
| spellingShingle | Ramachandran Remya Amina Angelika Bouchentouf Kaliappan Kalidass Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques Operations Research and Decisions |
| title | Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques |
| title_full | Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques |
| title_fullStr | Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques |
| title_full_unstemmed | Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques |
| title_short | Cost Optimization of a M/M/1/Wv&Mav Queueing System Using Newton-Raphson and Particle Swarm Optimization Techniques |
| title_sort | cost optimization of a m m 1 wv mav queueing system using newton raphson and particle swarm optimization techniques |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_11.pdf |
| work_keys_str_mv | AT ramachandranremya costoptimizationofamm1wvmavqueueingsystemusingnewtonraphsonandparticleswarmoptimizationtechniques AT aminaangelikabouchentouf costoptimizationofamm1wvmavqueueingsystemusingnewtonraphsonandparticleswarmoptimizationtechniques AT kaliappankalidass costoptimizationofamm1wvmavqueueingsystemusingnewtonraphsonandparticleswarmoptimizationtechniques |