Equilibrium pricing in an M/G/1 retrial queue with reserved idle time and setup time
Equilibrium pricing in an M/G/1 retrial queue with reserved idle time and setup time
复制标题
具有预留空闲时间和设置时间的 M/G/1 重试队列中的均衡定价
DOI：
10.1016/j.apm.2017.05.017
复制
发表时间：
2017-09
影响因子：
5
通讯作者：
Wang Jinting
中科院分区：
文献类型：
--
作者：
Zhang Yu;Wang Jinting
电力消耗是现代社会普遍存在的难题。为了节约能源，应该关闭闲置的设备，因为它的耗电量仍然是峰值耗电量的60%左右，当有工作到来时再打开它。但是，对于延迟敏感的应用程序是不能容忍的。因此，在功耗和延迟性能之间存在权衡。本文研究了一个具有设置时间的M/G/1重试排队系统，其中服务器在服务完成后保持预留空闲时间。如果在这段预留的空闲时间内有客人到达，这些客人可以立即得到服务。否则，服务器将被关闭以节省能源，直到新客户来激活服务器。设置时间遵循指数分布。基于奖励-成本函数和预期收益，所有顾客在到达时都会决定是否加入该系统。考虑到这些策略行为，我们分别从服务者和社会规划者的角度研究了最优定价策略。为了使服务器利润最大化，研究了预留空闲时间的优化问题。最后，通过数值实验说明了系统参数对客户均衡行为和利润最大化方案的影响。
Power consumption is a ubiquitous and challenging problem in modern society. To save energy, one should turn off an idle device which still consumes about 60% of its peak consumption and switch it on again when some jobs arrive. However, it is not tolerate for delay sensitive applications. Therefore, there is a trade-off between power consumption and delay performance. In this paper we study an M/G/1 retrial queueing system with setup times in which the server keeps idle for a reserved idle time after completion of a service. If there are arrivals during this reserved idle time, these customers can be served immediately. Otherwise, the server will be turned off for saving energy until a new customer comes to activate the server. The setup time follows an exponential distribution. Based on the reward-cost function and the expected payoff, all customers will make decisions on whether to join or balk the system upon arrival. Given these strategic behaviors we study the optimal pricing strategies from the perspective of the server and social planner, respectively. The optimization of the reserved idle time for maximizing the server’s profit is also studied. Finally, numerical experiments are presented to illustrate the impact of system parameters on the customers’ equilibrium behavior and profit maximization solutions.
登录
查看更多内容
影响因子：
1.3
作者：
Tuan Phung-Duc
通讯作者：
Tuan Phung-Duc
局域网应用延迟休假重审队列中的垄断定价
影响因子：
1.7
作者：
Wang Jinting（王金亭）;Feng Zhang
通讯作者：
Feng Zhang
DOI：
10.1145/2598394.2605342
发表时间：
2014-07
期刊：
Proceedings of the Companion Publication of the 2014 Annual Conference on Genetic and Evolutionary Computation
影响因子：
--
作者：
A. Engelbrecht
通讯作者：
A. Engelbrecht
DOI：
10.1007/978-3-319-22267-7_9
发表时间：
2015-08
期刊：
--
影响因子：
--
作者：
Tuan Phung-Duc
通讯作者：
Tuan Phung-Duc
DOI：
10.1016/b978-0-12-409547-2.14581-0
发表时间：
2020
期刊：
Comprehensive Chemometrics
影响因子：
--
作者：
Federico Marini;Beata Walczak
通讯作者：
Federico Marini;Beata Walczak