The Benefit of Information in a Single-server Queue with Heterogeneous Service Valuations [Abstract]

Irit Nowik, Refael Hassin, Y. Shaki
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Abstract

Aim/Purpose: How does heterogeneous valuation of service affect optimal control of queues? Background We analyze this heterogeneity by adding a component of travel costs, which differ with distance from the service point. Methodology: Mathematical analysis of queuing theory. Analyzing the anarchy function. Contribution: Enabling consumers to make optimal choices based on knowledge about their status, and enabling better control of the organizer. Findings: In the arrival rate is bounded, there is no need of interference. If it is unbounded then in many cases the organizer should impose the socially optimal queue length. Recommendations for Practitioners: In the arrival rate is bounded, there is no need of interference. If it is unbounded then in many cases the organizer should impose the socially optimal queue length. Recommendations for Researchers: Explore the following points: What happens when there are more than one server, located at different point. How should consumers behave, and what is the best way to locate service points. Impact on Society: Handling queues taking into account social welfare. Future Research: What happens when there are more than one server, located at different point. How should consumers behave, and what is the best way to locate service points.
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异构服务评价的单服务器队列信息收益[摘要]
目的:服务的异构评价如何影响队列的最优控制?我们通过增加差旅成本来分析这种异质性,差旅成本随距离服务点的远近而不同。方法论:排队论的数学分析。分析无政府状态函数。贡献:使消费者能够根据对其状态的了解做出最佳选择,并能够更好地控制组织者。结果:在到达率有界的情况下,不需要干扰。如果它是无界的,那么在许多情况下,组织者应该施加社会最优队列长度。给从业者的建议:在到达率有限的情况下,不需要干扰。如果它是无界的,那么在许多情况下,组织者应该施加社会最优队列长度。给研究人员的建议:探索以下几点:当有多个服务器位于不同的位置时会发生什么。消费者应该如何行为,以及定位服务点的最佳方式是什么。对社会的影响:在处理排队时考虑到社会福利。未来研究:当多个服务器位于不同位置时会发生什么?消费者应该如何行为,以及定位服务点的最佳方式是什么。
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