A Model for the Configuration of Incoming Wats Lines

Cover A Model for the Configuration of Incoming Wats Lines
A Model for the Configuration of Incoming Wats Lines
Roger Holland Blake
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Ij(m-n) We then use these arrival rates in (1) to determine the usage rates in each time block for the n Band i lines, from which we estimate the usage cost as described previously. We denote by UCj(m, n) the usage cost for Band i with n lines, and m-n lines allocated optimally to Bands l, 2, .... , i-l.
We need to include in fim(n) the cost for the calls which arrive to Band i, but overflow to a higher band. To estimate this overflow cost, we assume that calls which overflow are served by the
...next higher band and are charged a usage fee that is prespecified. Typically, we assume that the usage fee corresponds to the rate charged for usage of eighty hours per line-month. We note, though, that this is another approximation since we cannot know how the overflow calls will be handled until we configure the higher bands. We denote our approximation to the overflow cost by OFi(m, n) for Band i with n lines, and m-n lines allocated optimally to Bands 1, 2, .. . I-1.
We need to note one exception to this treatment of overflows.


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