论文标题
对抵达战略时机的排队系统的调查
A survey of queueing systems with strategic timing of arrivals
论文作者
论文摘要
考虑每个客户都需要独立决定何时到达固定时间内提供服务的设施,例如一天。这是许多服务系统中的常见情况,例如银行,自助餐厅的午餐,音乐音乐会,飞行登机手续等。在特定时间对服务的高需求会导致交通拥堵,例如等待,早期或迟到。排队理论提供了分析等待时间和相关成本的工具。如果客户可以选择何时加入队列,他们将面临何时到达的决策困境。拥堵的水平遭受的水平取决于他人的行为,而不仅仅是正在考虑的个人的行为。这个事实使客户就其到达时间做出战略决策。此外,多个影响彼此预期交通拥堵的决策者需要对这种战略互动进行非合作游戏理论分析。这种常见的每日场景促使研究流是由Glazer和Hassin(GH1983)的“/M/1”模型率先启用的,该模型首先将到达过程描述为排队作为游戏的NASH平衡解决方案。这项调查概述了有关到达战略时机排队系统文献中的主要结果和发展。另一个问题是社会最优性,即客户优化其汇总实用程序的客户使用的策略配置文件。特别是,我们回顾了有关无政府状态(POA)价格的结果,这是社会最佳和平衡公用事业之间的比率。
Consider a population of customers each of which needs to decide independently when to arrive to a facility that provides a service during a fixed period of time, say a day. This is a common scenario in many service systems such as a bank, lunch at a cafeteria, music concert, flight check-in and many others. High demand for service at a specific time leads to congestion that comes at a cost, e.g., for waiting, earliness or tardiness. Queueing Theory provides tools for the analysis of the waiting times and associated costs. If customers have the option of deciding when to join the queue, they will face a decision dilemma of when to arrive. The level of congestion one suffers from depends on others behavior and not only that of the individual under consideration. This fact leads customers to make strategic decisions regarding their time of arrival. In addition, multiple decision makers that affect each other's expected congestion, call for non-cooperative game theoretic analysis of this strategic interaction. This common daily scenario has prompted a research stream pioneered by the ?/M/1 model of Glazer and Hassin (GH1983) that first characterized an arrival process to a queue as a Nash equilibrium solution of a game. This survey provides an overview of the main results and developments in the literature on queueing systems with strategic timing of arrivals. Another issue is that of social optimality, namely the strategy profile used by customers that optimizes their aggregate utility. In particular, we review results concerning the price of anarchy (PoA), which is the ratio between the socially optimal and the equilibrium utilities.