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