\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2009, Volume 5, Issue 1: 103-114. Doi: 10.3934/jimo.2009.5.103
This issue Previous Article Online scheduling of two uniform machines to minimize total completion times Next Article A gradient method for regularizing retrieval of aerosol particle size distribution function

A tandem queueing system with applications to pricing strategy

  • 1.

    Advanced Modeling and Applied Computing Laboratory, Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

  • 2.

    Department of MSST, The Hong Kong Institute of Education, Hong Kong

Received:  December 31, 2007
Revised:  August 31, 2008
Published:  December 2008
Abstract Related Papers Cited by
    Abstract
  • In this paper, we analyze a Markovian queueing system with multiple types of customers and two queues in tandem. All customers have to go through two stages of services. In Stage 1, the queueing system has multiple identical servers while in Stage 2, there is one single-server queue for each type of customers. The queueing discipline in the whole system is Blocked Customer Delayed (BCD). We first obtain the steady-state probability distribution of the queueing system and the expected waiting time for customers. We then apply the queueing model to solve an optimal pricing policy problem in assuming that the demand rate is dependent on the price. The objective is to minimize the number of servers in the first stage and also maximize the expected earnings by taking into account the demand and the prices. We also obtained some analytic results for the optimal pricing strategy.
    Mathematics Subject Classification: Primary: 65C20; Secondary: 65F10.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(145) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences