ACADSTAFF UGM
| Title | : | A novel use of value iteration for deriving bounds for threshold and switching curve optimal policies |
| Author | : |
Dr. Dwi Ertiningsih, M.Si. (1) Prof. Sandjai Bhulai (2) Prof. Dr. F.M. Spieksma (3) |
| Date | : | 28 2018 |
| Keyword | : | deriving bounds,optimal policies,value iteration deriving bounds,optimal policies,value iteration |
| Abstract | : | In this article, we develop a novel role for the initial function v_0 in the value iteration algorithm. In case the optimal policy of a countable state Markovian queueing control problem has a threshold or switching curve structure, we conjecture, that one can tune the choice of v_0 to generate monotonic sequences of n-stage threshold or switching curve optimal policies. We will show this for three queueing control models, the M/M/1 queue with admission and with service control, and the two-competing queues model with quadratic holding cost. As a consequence, we obtain increasingly tighter upper and lower bounds. After a finite number of iterations, either the optimal threshold, or the optimal switching curve values in a finite number of states is available. This procedure can be used to increase numerical efficiency. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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