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First, connection requests are sorted based on the requested duration.
This is well within the bound set in [23] for acceptable connection tardiness which is half (50%) the lifetime or requested duration of the connection.
We consider a sub-network of the cellular system consisting of I=3 RSs and J=7 MSs with the request arrival rates λ 1=0.009,λ 2=0.008,λ 3=0.006,λ 4=0.005,λ 5=0.004,λ 6=0.003, and λ 7=0.002 requests per time slot, the average transmission duration parameter μ=0.05 requests per time slot, and the maximum requested duration is D max=250 time slots.
Compliance with training was high across all participants and there were no dropouts; 80% (35 of 44) of the sample completed the requested duration of training, with 75% (33 of 44) exceeding the required training.
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Also, since the RSs provide the same service tier for all MSs, e.g., the top tier, we assume that the requested transmission duration ({D_{j}^{k}}) follows an exponential distribution with the average transmission duration μ, i.e., the PDF of ({D_{j}^{k}}) is given by f_{D}(x) = mu e^{-mu x}.
Then, we assume d max as the maximum requested transmission duration in the UC model.
For a fixed amount of stored air (defined according to the requested minimum duration of the discharge phase), investment, maintenance and operating costs have been evaluated by varying the air storage pressure from 2000 to 10000 kPa.
To start an relay service, the MS j needs to initiate an relay service request ("request" for short in the remainder of the paper) first, indicating the requested transmission duration, denoted by ({D_{j}^{k}}), where k is the index of the time slot when the request is made.
As learning capacity may vary, BHS requested longer duration of the training.
These response patterns are an additional indication that respondents may have difficulty estimating the requested time duration.
The average tardiness achieved is less than 10% of the average request duration (lifetime).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com