کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
475631 | 699341 | 2016 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The matrix-form solution for GeoX/G/1/N working vacation queue and its application to state-dependent cost control The matrix-form solution for GeoX/G/1/N working vacation queue and its application to state-dependent cost control](/preview/png/475631.png)
• Analyze a new queue model raised from practical production system.
• Obtain the solutions in form of formulae for queue length distributions at different epochs.
• Optimal analysis for the state-dependent cost of system.
This paper studies a finite buffer size GeoX/G/1/NGeoX/G/1/N queue with single working vacation and different input rates. By combining two classic methods of supplementary variable and embedded Markov chain, the matrix-form solutions of queue-length distributions at departure, arbitrary, pre-arrival and outside observer׳s observation epochs are obtained. Based on these queue-length distributions, some performance measures are also derived and some numerical experiments are carried out. Then, an optimal control on state-dependent operating cost of a production to order is presented.
Journal: Computers & Operations Research - Volume 67, March 2016, Pages 63–74