Optimal control of a two-phase heterogeneous service retrial queueing system with collisions and delayed vacations
This paper proposes a novel two-phase heterogeneous service retrial queueing system with collisions and delayed vacations. We consider services for two types of customers: ordinary customers (service completed in two phases) and priority customers (service completed in one phase). Collisions only oc...
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| Vydáno v: | Journal of applied mathematics & computing Ročník 70; číslo 4; s. 2879 - 2906 |
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| Jazyk: | angličtina |
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01.08.2024
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| ISSN: | 1598-5865, 1865-2085 |
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| Abstract | This paper proposes a novel two-phase heterogeneous service retrial queueing system with collisions and delayed vacations. We consider services for two types of customers: ordinary customers (service completed in two phases) and priority customers (service completed in one phase). Collisions only occur in the first phase of service; if the collision does not happen, the server will proceed to the second phase of service. When the server turns to an idle state, it reserves a random period before taking formal vacations. We investigate two models for this system with and without orbit constraints and numerically analyze the sensitivity of the system performance metrics to validate the results and methodology. The expected total cost function is formulated. To prevent falling into the local optimal solution too fast, we utilize the canonical particle swarm optimization algorithm. Furthermore, we evaluate a bi-objective optimization problem to seek the balance of the expected total cost and the quality of service. Then, we apply the multi-objective evolutionary algorithm based on decomposition (MOEA/D) to obtain the Pareto front. Several numerical examples are presented for illustrative purposes. |
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| AbstractList | This paper proposes a novel two-phase heterogeneous service retrial queueing system with collisions and delayed vacations. We consider services for two types of customers: ordinary customers (service completed in two phases) and priority customers (service completed in one phase). Collisions only occur in the first phase of service; if the collision does not happen, the server will proceed to the second phase of service. When the server turns to an idle state, it reserves a random period before taking formal vacations. We investigate two models for this system with and without orbit constraints and numerically analyze the sensitivity of the system performance metrics to validate the results and methodology. The expected total cost function is formulated. To prevent falling into the local optimal solution too fast, we utilize the canonical particle swarm optimization algorithm. Furthermore, we evaluate a bi-objective optimization problem to seek the balance of the expected total cost and the quality of service. Then, we apply the multi-objective evolutionary algorithm based on decomposition (MOEA/D) to obtain the Pareto front. Several numerical examples are presented for illustrative purposes. |
| Author | Fan, Wentao Li, Linhong Liu, Liwei Xu, Wei |
| Author_xml | – sequence: 1 givenname: Wei surname: Xu fullname: Xu, Wei organization: School of Mathematics and Statistics, Nanjing University of Science and Technology – sequence: 2 givenname: Linhong surname: Li fullname: Li, Linhong organization: School of Mathematics and Statistics, Nanjing University of Science and Technology – sequence: 3 givenname: Wentao surname: Fan fullname: Fan, Wentao organization: School of Information and Communication Engineering, University of Electronic Science and Technology of China – sequence: 4 givenname: Liwei orcidid: 0000-0002-9662-1973 surname: Liu fullname: Liu, Liwei email: liweiliunjust@gmail.com organization: School of Mathematics and Statistics, Nanjing University of Science and Technology |
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| Cites_doi | 10.1016/0167-6377(90)90047-9 10.1007/s11009-023-10029-y 10.1007/s12351-023-00808-3 10.1007/s12190-013-0688-7 10.1007/s11009-018-9680-x 10.1007/BF01163860 10.1080/03610926.2020.1758943 10.1016/j.cor.2021.105230 10.1051/ro/2020074 10.1287/opre.31.4.783 10.1109/TCOM.1983.1095881 10.1080/16843703.2016.1189025 10.1023/A:1020901710087 10.1007/s10479-018-2894-z 10.1109/TEVC.2007.892759 10.1109/4235.985692 10.1016/j.ress.2023.109467 10.1016/j.cor.2009.04.019 10.1287/opre.17.6.1058 10.1007/s10479-019-03463-0 10.1145/322017.322019 10.1016/j.cie.2021.107239 10.1007/s11009-021-09870-w 10.1007/s10479-015-2038-7 10.1016/j.matcom.2022.08.007 10.7763/IJTEF.2014.V5.383 10.37256/cm.4420232688 10.1155/2014/240926 |
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| Copyright | The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Keywords | Canonical particle swarm optimization algorithm Two-phase service Delayed vacation Multi-objective evolution algorithm based on decomposition 60K25 Collision |
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| References | Falin, Sukharev (CR22) 1985 Kumar, Vijayalakshmi, Krishnamoorthy, Basha (CR24) 2010; 37 Meditch, Lea (CR2) 1983; 31 Yang, Chung, Wu (CR14) 2021; 156 He, Tian, Han, Wu (CR19) 2024; 24 CR17 Jain, Kaur (CR11) 2021; 55 CR12 Nazarov, Sztrik, Kvach, Tóth (CR30) 2022; 24 CR31 Krishna, Lee (CR5) 1990; 9 Zhang, Li (CR34) 2007; 11 Wu, Yang (CR6) 2021; 130 Kim, Kim (CR4) 2016; 247 Lakaour, Aissani, Adel-Aissanou, Barkaoui, Ziani (CR27) 2022; 51 Sennott, Humblet, Tweedie (CR36) 1983; 31 Clerc, Kennedy (CR32) 2002; 6 Lakaour, Aïssani, Adel-Aissanou, Barkaoui (CR26) 2019; 21 Fayolle, Gelenbe, Labetoulle (CR1) 1977; 24 CR3 Kumar, Jain (CR7) 2023; 204 Pakes (CR35) 1969; 17 Jain, Bhagat (CR10) 2016; 13 Kumar, Vijayakumar, Arivudainambi (CR8) 2002; 113 CR9 Nazarov, Sztrik, Kvach, Tóth (CR29) 2020; 288 Hirogaki (CR33) 2014; 5 CR21 CR20 Hassan, Atiquzzaman (CR13) 1997; 80 Gao, Wang, Zhang (CR15) 2023; 239 Wang, Zhang (CR16) 2016; 27 Shi, Liu (CR18) 2023; 25 Peng, Liu, Wu (CR25) 2014; 44 Nazarov, Sztrik, Kvach, Bérczes (CR28) 2019; 277 Choi, Shin, Ahn (CR23) 1992; 11 BK Kumar (2074_CR24) 2010; 37 A Nazarov (2074_CR28) 2019; 277 L He (2074_CR19) 2024; 24 J Kim (2074_CR4) 2016; 247 2074_CR3 M Jain (2074_CR11) 2021; 55 C-H Wu (2074_CR6) 2021; 130 BD Choi (2074_CR23) 1992; 11 2074_CR9 J Meditch (2074_CR2) 1983; 31 A Nazarov (2074_CR29) 2020; 288 G Falin (2074_CR22) 1985 2074_CR31 2074_CR12 X Shi (2074_CR18) 2023; 25 L Lakaour (2074_CR27) 2022; 51 2074_CR17 M Hirogaki (2074_CR33) 2014; 5 D-Y Yang (2074_CR14) 2021; 156 M Clerc (2074_CR32) 2002; 6 J Wang (2074_CR16) 2016; 27 AG Pakes (2074_CR35) 1969; 17 Q Zhang (2074_CR34) 2007; 11 Y Peng (2074_CR25) 2014; 44 L Lakaour (2074_CR26) 2019; 21 LI Sennott (2074_CR36) 1983; 31 S Gao (2074_CR15) 2023; 239 G Fayolle (2074_CR1) 1977; 24 M Jain (2074_CR10) 2016; 13 2074_CR21 A Nazarov (2074_CR30) 2022; 24 BK Kumar (2074_CR8) 2002; 113 2074_CR20 A Kumar (2074_CR7) 2023; 204 C Krishna (2074_CR5) 1990; 9 M Hassan (2074_CR13) 1997; 80 |
| References_xml | – volume: 9 start-page: 91 issue: 2 year: 1990 end-page: 97 ident: CR5 article-title: A study of two-phase service publication-title: Oper. Res. Lett. doi: 10.1016/0167-6377(90)90047-9 – ident: CR12 – volume: 25 start-page: 1 issue: 2 year: 2023 end-page: 27 ident: CR18 article-title: Equilibrium joining strategies in the retrial queue with two classes of customers and delayed vacations publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-023-10029-y – volume: 24 start-page: 3 issue: 1 year: 2024 ident: CR19 article-title: Optimal joining strategies in a repairable retrial queue with reserved time and n-policy publication-title: Oper. Res. Int. J. doi: 10.1007/s12351-023-00808-3 – volume: 80 start-page: 317 issue: 2 year: 1997 end-page: 323 ident: CR13 article-title: A delayed vacation model of an m/g/1 queue with setup time and its application to svcc-based atm networks publication-title: IEICE Trans. Commun. – volume: 44 start-page: 187 year: 2014 end-page: 213 ident: CR25 article-title: An m/g/1 retrial g-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs publication-title: J. Appl. Math. Comput. doi: 10.1007/s12190-013-0688-7 – volume: 21 start-page: 1395 issue: 4 year: 2019 end-page: 1406 ident: CR26 article-title: M/m/1 retrial queue with collisions and transmission errors publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-018-9680-x – volume: 11 start-page: 335 issue: 4 year: 1992 end-page: 356 ident: CR23 article-title: Retrial queues with collision arising from unslottedcsma/cd protocol publication-title: Queueing Syst. doi: 10.1007/BF01163860 – volume: 51 start-page: 1085 issue: 4 year: 2022 end-page: 1109 ident: CR27 article-title: An unreliable single server retrial queue with collisions and transmission errors publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2020.1758943 – volume: 130 year: 2021 ident: CR6 article-title: Bi-objective optimization of a queueing model with two-phase heterogeneous service publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2021.105230 – volume: 55 start-page: 2027 year: 2021 end-page: 2053 ident: CR11 article-title: Bernoulli vacation model for mx/g/1 unreliable server retrial queue with Bernoulli feedback, balking and optional service publication-title: RAIRO-Oper. Res. doi: 10.1051/ro/2020074 – volume: 31 start-page: 783 issue: 4 year: 1983 end-page: 789 ident: CR36 article-title: Mean drifts and the non-ergodicity of Markov chains publication-title: Oper. Res. doi: 10.1287/opre.31.4.783 – ident: CR21 – volume: 31 start-page: 763 issue: 6 year: 1983 end-page: 774 ident: CR2 article-title: Stability and optimization of the csma and csma/cd channels publication-title: IEEE Trans. Commun. doi: 10.1109/TCOM.1983.1095881 – volume: 13 start-page: 263 issue: 3 year: 2016 end-page: 288 ident: CR10 article-title: Mx/g/1 retrial vacation queue for multi-optional services, phase repair and reneging publication-title: Quality Technol. Quant. Manag. doi: 10.1080/16843703.2016.1189025 – volume: 113 start-page: 61 year: 2002 end-page: 79 ident: CR8 article-title: An m/g/1 retrial queueing system with two-phase service and preemptive resume publication-title: Ann. Oper. Res. doi: 10.1023/A:1020901710087 – ident: CR3 – ident: CR17 – volume: 277 start-page: 213 issue: 2 year: 2019 end-page: 229 ident: CR28 article-title: Asymptotic analysis of finite-source m/m/1 retrial queueing system with collisions and server subject to breakdowns and repairs publication-title: Ann. Oper. Res. doi: 10.1007/s10479-018-2894-z – volume: 11 start-page: 712 issue: 6 year: 2007 end-page: 731 ident: CR34 article-title: Moea/d: a multiobjective evolutionary algorithm based on decomposition publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2007.892759 – ident: CR31 – volume: 6 start-page: 58 issue: 1 year: 2002 end-page: 73 ident: CR32 article-title: The particle swarm-explosion, stability, and convergence in a multidimensional complex space publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.985692 – ident: CR9 – volume: 239 year: 2023 ident: CR15 article-title: Reliability analysis of a redundant series system with common cause failures and delayed vacation publication-title: Reliab. Eng. Syst. Saf. doi: 10.1016/j.ress.2023.109467 – volume: 37 start-page: 1247 issue: 7 year: 2010 end-page: 1255 ident: CR24 article-title: A single server feedback retrial queue with collisions publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2009.04.019 – volume: 17 start-page: 1058 issue: 6 year: 1969 end-page: 1061 ident: CR35 article-title: Some conditions for ergodicity and recurrence of Markov chains publication-title: Oper. Res. doi: 10.1287/opre.17.6.1058 – volume: 288 start-page: 417 issue: 1 year: 2020 end-page: 434 ident: CR29 article-title: Asymptotic sojourn time analysis of finite-source m/m/1 retrial queueing system with collisions and server subject to breakdowns and repairs publication-title: Ann. Oper. Res. doi: 10.1007/s10479-019-03463-0 – volume: 24 start-page: 375 issue: 3 year: 1977 end-page: 386 ident: CR1 article-title: Stability and optimal control of the packet switching broadcast channel publication-title: J. ACM (JACM) doi: 10.1145/322017.322019 – volume: 27 start-page: 315 issue: 2 year: 2016 end-page: 334 ident: CR16 article-title: Monopoly pricing in a retrial queue with delayed vacations for local area network applications publication-title: IMA J. Manag. Math. – volume: 156 year: 2021 ident: CR14 article-title: Sojourn times in a Markovian queue with working breakdowns and delayed working vacations publication-title: Comput. Indus. Eng. doi: 10.1016/j.cie.2021.107239 – volume: 24 start-page: 1503 issue: 3 year: 2022 end-page: 1518 ident: CR30 article-title: Asymptotic analysis of finite-source m/gi/1 retrial queueing systems with collisions and server subject to breakdowns and repairs publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-021-09870-w – volume: 247 start-page: 3 year: 2016 end-page: 36 ident: CR4 article-title: A survey of retrial queueing systems publication-title: Ann. Oper. Res. doi: 10.1007/s10479-015-2038-7 – year: 1985 ident: CR22 publication-title: On Single-Line Queues with Double Connections – ident: CR20 – volume: 204 start-page: 259 year: 2023 end-page: 281 ident: CR7 article-title: Cost optimization of an unreliable server queue with two stage service process under hybrid vacation policy publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2022.08.007 – volume: 5 start-page: 270 issue: 3 year: 2014 ident: CR33 article-title: Service quality management in retailing: theory and empirical analysis of customer satisfaction with checkout services publication-title: Int. J. Trade Econ. Financ. doi: 10.7763/IJTEF.2014.V5.383 – ident: 2074_CR12 doi: 10.37256/cm.4420232688 – volume: 9 start-page: 91 issue: 2 year: 1990 ident: 2074_CR5 publication-title: Oper. Res. Lett. doi: 10.1016/0167-6377(90)90047-9 – volume: 277 start-page: 213 issue: 2 year: 2019 ident: 2074_CR28 publication-title: Ann. Oper. Res. doi: 10.1007/s10479-018-2894-z – volume: 113 start-page: 61 year: 2002 ident: 2074_CR8 publication-title: Ann. Oper. Res. doi: 10.1023/A:1020901710087 – volume-title: On Single-Line Queues with Double Connections year: 1985 ident: 2074_CR22 – volume: 51 start-page: 1085 issue: 4 year: 2022 ident: 2074_CR27 publication-title: Commun. Stat.-Theory Methods doi: 10.1080/03610926.2020.1758943 – volume: 5 start-page: 270 issue: 3 year: 2014 ident: 2074_CR33 publication-title: Int. J. Trade Econ. Financ. doi: 10.7763/IJTEF.2014.V5.383 – volume: 21 start-page: 1395 issue: 4 year: 2019 ident: 2074_CR26 publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-018-9680-x – volume: 31 start-page: 783 issue: 4 year: 1983 ident: 2074_CR36 publication-title: Oper. Res. doi: 10.1287/opre.31.4.783 – ident: 2074_CR17 – volume: 17 start-page: 1058 issue: 6 year: 1969 ident: 2074_CR35 publication-title: Oper. Res. doi: 10.1287/opre.17.6.1058 – ident: 2074_CR31 – volume: 80 start-page: 317 issue: 2 year: 1997 ident: 2074_CR13 publication-title: IEICE Trans. Commun. – volume: 24 start-page: 375 issue: 3 year: 1977 ident: 2074_CR1 publication-title: J. ACM (JACM) doi: 10.1145/322017.322019 – volume: 44 start-page: 187 year: 2014 ident: 2074_CR25 publication-title: J. Appl. Math. Comput. doi: 10.1007/s12190-013-0688-7 – volume: 11 start-page: 335 issue: 4 year: 1992 ident: 2074_CR23 publication-title: Queueing Syst. doi: 10.1007/BF01163860 – ident: 2074_CR20 – volume: 27 start-page: 315 issue: 2 year: 2016 ident: 2074_CR16 publication-title: IMA J. Manag. Math. – volume: 37 start-page: 1247 issue: 7 year: 2010 ident: 2074_CR24 publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2009.04.019 – volume: 130 year: 2021 ident: 2074_CR6 publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2021.105230 – volume: 6 start-page: 58 issue: 1 year: 2002 ident: 2074_CR32 publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.985692 – ident: 2074_CR3 – volume: 25 start-page: 1 issue: 2 year: 2023 ident: 2074_CR18 publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-023-10029-y – volume: 239 year: 2023 ident: 2074_CR15 publication-title: Reliab. Eng. Syst. Saf. doi: 10.1016/j.ress.2023.109467 – volume: 24 start-page: 1503 issue: 3 year: 2022 ident: 2074_CR30 publication-title: Methodol. Comput. Appl. Probab. doi: 10.1007/s11009-021-09870-w – volume: 288 start-page: 417 issue: 1 year: 2020 ident: 2074_CR29 publication-title: Ann. Oper. Res. doi: 10.1007/s10479-019-03463-0 – volume: 31 start-page: 763 issue: 6 year: 1983 ident: 2074_CR2 publication-title: IEEE Trans. Commun. doi: 10.1109/TCOM.1983.1095881 – volume: 156 year: 2021 ident: 2074_CR14 publication-title: Comput. Indus. Eng. doi: 10.1016/j.cie.2021.107239 – volume: 24 start-page: 3 issue: 1 year: 2024 ident: 2074_CR19 publication-title: Oper. Res. Int. J. doi: 10.1007/s12351-023-00808-3 – volume: 11 start-page: 712 issue: 6 year: 2007 ident: 2074_CR34 publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2007.892759 – volume: 13 start-page: 263 issue: 3 year: 2016 ident: 2074_CR10 publication-title: Quality Technol. Quant. Manag. doi: 10.1080/16843703.2016.1189025 – volume: 204 start-page: 259 year: 2023 ident: 2074_CR7 publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2022.08.007 – volume: 55 start-page: 2027 year: 2021 ident: 2074_CR11 publication-title: RAIRO-Oper. Res. doi: 10.1051/ro/2020074 – volume: 247 start-page: 3 year: 2016 ident: 2074_CR4 publication-title: Ann. Oper. Res. doi: 10.1007/s10479-015-2038-7 – ident: 2074_CR9 doi: 10.1155/2014/240926 – ident: 2074_CR21 |
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| SubjectTerms | Computational Mathematics and Numerical Analysis Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Original Research Theory of Computation |
| Title | Optimal control of a two-phase heterogeneous service retrial queueing system with collisions and delayed vacations |
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| Volume | 70 |
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