Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities
During the past few years, batch service systems have attracted considerable attention due to their wide area of applications. In this present paper, we study a special batch service polling system (the so-called Israeli queue) with priorities. Different from the previous papers which focus on the p...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6015372 |
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| _version_ | 1832560075248500736 |
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| author | Tao Jiang Xingzheng Lu Lu Liu Jun Lv Xudong Chai |
| author_facet | Tao Jiang Xingzheng Lu Lu Liu Jun Lv Xudong Chai |
| author_sort | Tao Jiang |
| collection | DOAJ |
| description | During the past few years, batch service systems have attracted considerable attention due to their wide area of applications. In this present paper, we study a special batch service polling system (the so-called Israeli queue) with priorities. Different from the previous papers which focus on the performance analysis, we aim to investigate the strategic behavior of customers and optimal design for the underlying queueing model. By considering two levels of information (observable and unobservable) provided upon customers’ arrival, we, respectively, derive the equilibrium strategies of high-priority and low-priority customers, regarding the joining or balking dilemma. We also present some numerical examples to reveal the impacts of several parameters on the equilibrium strategies, together with some intuitive explanations. Finally, we formulate the revenue function of the service provider and present the Particle Swarm Optimization algorithm to seek the optimal service prices for the high-priority and low-priority customers to maximize the service provider’s revenue under the two levels of information. |
| format | Article |
| id | doaj-art-e89d7eaf45af40d68455e5cb333a0e9e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e89d7eaf45af40d68455e5cb333a0e9e2025-02-03T01:28:34ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/60153726015372Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with PrioritiesTao Jiang0Xingzheng Lu1Lu Liu2Jun Lv3Xudong Chai4College of Economics and Management, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Economics and Management, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, ChinaDuring the past few years, batch service systems have attracted considerable attention due to their wide area of applications. In this present paper, we study a special batch service polling system (the so-called Israeli queue) with priorities. Different from the previous papers which focus on the performance analysis, we aim to investigate the strategic behavior of customers and optimal design for the underlying queueing model. By considering two levels of information (observable and unobservable) provided upon customers’ arrival, we, respectively, derive the equilibrium strategies of high-priority and low-priority customers, regarding the joining or balking dilemma. We also present some numerical examples to reveal the impacts of several parameters on the equilibrium strategies, together with some intuitive explanations. Finally, we formulate the revenue function of the service provider and present the Particle Swarm Optimization algorithm to seek the optimal service prices for the high-priority and low-priority customers to maximize the service provider’s revenue under the two levels of information.http://dx.doi.org/10.1155/2020/6015372 |
| spellingShingle | Tao Jiang Xingzheng Lu Lu Liu Jun Lv Xudong Chai Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities Complexity |
| title | Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities |
| title_full | Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities |
| title_fullStr | Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities |
| title_full_unstemmed | Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities |
| title_short | Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities |
| title_sort | strategic behavior of customers and optimal control for batch service polling systems with priorities |
| url | http://dx.doi.org/10.1155/2020/6015372 |
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