Dynamic Scheduling of a Two Span Classsearchtermclassspan Queue With Set

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Dynamic Scheduling of a Two Span Classsearchtermclassspan Queue With Set
M I Reiman
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5% Table V: Average suboptimalitity of the straw policy: setup cost problem.
The proposed policy performs remarkably well: although its overall average suboptimality is 3. 2%, its suboptimality is less than 1% for 31 of the 48 test cases, and is less than 3. 1% for 38 of the 48 test cases. Under these 38 cases, comparison of the optimal switching curves (not displayed here) with the proposed switching curves shows that the two curves differ on at most several states in the state space. In parti
...cular, the vertical boundary in Figure 4 is very close to optimal in the imbalanced case.
Recall that many of the 48 test cases grossly violate the heavy traffic conditions stated in Subsection 1. 2, which requires heavy loading and much larger setup costs than holding costs. Perhaps the case that comes closest to satisfying these conditions is cx = l, /\ = 200 and p = 0. 9, where the proposed policy is optimal. As in previous heavy traffic work (see, for example. Chevalier and Wein 1993), the performance of the proposed policy is relatively insensitive (within a certain range) to the heavy traffic assumptions underlying the analysis: for the 12 balanced cases, the suboptimality of the proposed policy deteriorates to 5-12% when p drops to 0.


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