|Table of Contents|

Customer strategy analysis of M/G/1 queueing system with purchasable priority

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2020年02期
Page:
224-229
Research Field:
Publishing date:

Info

Title:
Customer strategy analysis of M/G/1 queueing system with purchasable priority
Author(s):
Tian LongmeiZhao NingLiu Wenqi
Faculty of Science,Kunming University of Science and Technology,Kunming 650500,China
Keywords:
priority non-preemption queueing system entry strategy revenue function
PACS:
O226
DOI:
10.14177/j.cnki.32-1397n.2020.44.02.014
Abstract:
In order to improve customers'satisfaction in stochastic service systems,this paper studies a M/G/1 queueing system with purchasable priority. By analyzing the individual revenue function of customers,the individual entry strategies are discussed respectively in completely visible and completely invisible situations for the queueing systems with nonpreemptive priority. In the completely visible situation,customers enter the priority queue selectively according to the system state. By analyzing the revenue function of the priority customers,the threshold of the priority queue in the completely visible situation is obtained. When the customer arrives at the completely invisible system,he enters the priority queue with a certain probability. The optimal entry strategy in the completely invisible situation is derived by comparing the revenue function of the customer with priority and non-priority. The theoretical results are verified by numerical experiments.

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Last Update: 2020-04-20