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Selection can also occur based on a score, taking into account the relative service weight calculated during service ranking.
In general, Fig. 8 shows that Erlang capacity is more sensitive to the relative service time than to the mobility parameter.
Second, increasing the relative service time implies that the mean value of the secondary service time relative to the mean value of the primary service time increases.
This behavior is due to the fact that as the relative service time increases, it is more likely that an ongoing secondary call to be interrupted due to the arrival of a primary session, consequently, a lower average number of ongoing calls are handed-off to adjacent cells (that is, the handoff rate decreases as the relative service time increases).
For instance, for the high mobility case (scenarios S3 and S4), the critical operational point decreases 30% as the relative service time moves from 0.1 (scenario S3) to 1.0 (scenario S4).
Also, for a given value of the utilization factor of the primary channels, as the relative service time increases, the departure rate of successfully terminated calls decreases relative to the arrival rate of primary sessions; thus, the average number of idle channels decreases in detrimental of the new call blocking probability and, consequently, in detrimental of system capacity.
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In fact, many multi-tier applications are often executed across multiple VMs [9] (e.g., front-end, business logic and back-end tiers of e-commerce services, or clustered MapReduce computing environments) and the relative services are available to the end-user only when all VMs in the group are active and connected to each other.
On the other hand, for the large relative service time case (scenarios S2 and S4), the critical operational point decreases 13.12% as the mobility parameter goes from 0.2 (scenario S2) to 1.0 (scenario S4).
In this section, the effects of the value of the mean secondary service time relative to the mean primary service time (hereafter called relative service time), mobility parameter (defined as the ratio between the mean service time and the mean cell residence time), the use or not of spectrum handoff (SH), and the primary channel utilization factor on the system Erlang capacity are evaluated.
Table 6 Parameters for the considered scenarios Scenario Description Mobility parameter (η/μ(S)) Relative service time (μ(P /μ(S)) S1 Low mobility, small relative service time 0.2 0.1S22 Low mobility, large relative service time 0.2 1 S3 High mobility, small relative service time 1 0.1 S4 High mobility, large relative service time 1 1.
Phase 4: Aggregation of relative service weights.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com