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  • 标题:Queuing Models To Balance Systems With Excess Supply
  • 作者:Gastón Mendoza ; Mohammad Sedaghat ; K. Paul Yoon
  • 期刊名称:International Business & Economics Research Journal
  • 印刷版ISSN:1535-0754
  • 电子版ISSN:2157-9393
  • 出版年度:2009
  • 卷号:8
  • 期号:1
  • 语种:English
  • 出版社:The Clute Institute for Academic Research
  • 摘要:Many manufacturing and service activities can be modeled using queuing theory. The optimization of the long-run solution to imbalances between supply and demand is very important to established businesses. This paper presents a family of queuing models that minimize the expected total cost incurred when restoring equilibrium to a stochastic system that has become unstable due to changes in the environmental parameters affecting its behavior. Analytical expressions for the expected total cost in terms of a policy parameter are derived from which numerically-savvy users can obtain the policy that minimizes the expected total cost. To determine the model parameters that most affect the optimal policy and to facilitate the determination of near-optimal policies, exact solutions were found for a large number of scenarios and then used to fit a regression model. The resulting regression equation can be used by practitioners to find policy parameters that approximately minimize the expected total cost due to imbalances in supply and demand.
  • 关键词:Queuing systems;Markov chains;Double-Ended queue;steady state probabilities
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