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By employing an embedded Markov chain method, the average queue length and the average sojourn time of the system model are derived.
Secondly, the average sojourn time in the Master state is denoted by E and can be computed as (45).
where τ ̄ 1 and τ ̄ 0 denote the average sojourn time of ON and OFF state, respectively.
Finally, the average sojourn time in the Slave state, denoted by E, is directly equal to the average DQMAN busy period and thus (46).
If they are considered as only one new state, denoted by state, then the average sojourn time in this state is computed as (42).
The average sojourn time and the extended service time of the SU are analyzed, and the optimal spectrum handoff strategy is obtained through solving the optimization problem of minimizing both time metrics.
Similar(43)
The mean sojourn time, the average time spent in the preclinical screen-detectable phase, is assumed to have exponential distribution (Day et al, 1989).
The detection rate of cancers at screening is dependent on whether this is a first or subsequent screen, the incidence rate of disease in the population screened, the mean sojourn time (the average time spent in the presymptomatic, screen-detectable phase) and the sensitivity of the screening test (Weedon-Faekjer et al, 2010).
For example, Day and Walter (1984) used screening results of breast cancer to simultaneously estimate false negative cases (cases missed at screen) and the mean sojourn time (the average duration of the screen-detectable phase (PCDP), abbreviated as MST hereafter) based on prevalent screen-detected cases and interval cases (clinical cases occurring between screens) [ 5].
The detection rate depends also on the mean sojourn time (MST), the average duration of the preclinical screen-detectable period, and the screening sensitivity.
Following this, the estimated mean sojourn time (MST) is 1/λ, where λ is the average of the exponential distribution (that is, the rate of progression from the preclinical to the clinical phase, as estimated from screening data).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com