ASP: EXAMPLE 2. APPLICATION OF SATURATION THRESHOLD, PENALIZING EXCESSIVE COVERAGE

<< Click to show the Table of Contents >>

Navigation:  Utilities > ASP > ASP: Ejemplo 2

ASP: EXAMPLE 2. APPLICATION OF SATURATION THRESHOLD, PENALIZING EXCESSIVE COVERAGE

Start  Previous  Next

 

The same scenario as in example 1 is presented, with 3 transmitters and the same points and coverage, where the calculation magnitude is units of the point layer, with one unit at each point, the weight is equal to 1, the minimum is equal to 0, the maximum is equal to 3, and saturation is defined as 4. In other words, if a transmitter covers more than 3 units, its score will be penalized.

asp_ex2_scenario

The process in this scenario would be as described below.

 

ITERATION 1

Step 1: Analyze coverage

Target coverage: Points A, B, C, D, E, F, G (7 units).

Tx1 coverage: Points A, B, C, D, E (5 units).

Tx2 coverage: Points E, F (2 units).

Tx3 coverage: Points A, B, F, G (4 units).

Step 2: Score and choose the prioritized transmitter

The transmitter with the most coverage is Tx1, with 5 units. In this case, as it exceeds the saturation threshold of 4 units, this transmitter is penalized with a score of 0.001.

The next most covered is Tx3, with 4 units. As it is equal to the saturation threshold, it is also penalized with a score of 0.001.

Only Tx2 meets the saturation criterion with 2 units, above the maximum of 3 units defined above, and obtains a score of 2/3 = 0.667.

Factors that may modify the score:

The weight of the layer for the units is 1, so the scores do not change.

By default, the multipliers are set to 1 and the additions to 0, so the scores do not change.

By default, there are no transmitters with manually set priority or marked as "always prioritize", so the scores do not change.

Tx2 is chosen because it has the highest score.

Step 3: Remove coverage provided by the chosen transmitter from the target coverage

Since Tx2 covered points E and F, the coverage of the other transmitters is updated by removing those points.

 

ITERATION 2

Step 1: Analyze coverage

Target coverage: Points A, B, C, D, G (5 units).

Tx1 coverage: Points A, B, C, D (4 units).

Tx3 coverage: Points A, B, G (3 units).

Step 2: Score and choose the prioritized transmitter

Tx1 covers 4 units, but is penalized for meeting the saturation value, and obtains a score of 0.001.

Tx3 is below saturation with 3 units, above the maximum of 3 units defined above, and obtains a score of 3/3 = 1.

There are no factors that modify this score.

Tx3 is chosen because it has the highest score.

Step 3: Remove coverage provided by the chosen transmitter from the target coverage

Points A, B, and G covered by Tx3 are removed.

 

ITERATION 3

Step 1: Analyze coverage

Target coverage: Points C, G (2 units).

Tx1 coverage: Points C, D (2 units).

Step 2: Score and choose the prioritized transmitter

Tx1 covers 2 units, out of the maximum of 3 units defined above, and obtains a score of 2/3 = 0.667.

There are no factors that modify this score.

Tx1 is chosen.

 

FINAL RESULT (SORTED BY SCORE)

Tx3 covers 3 units within the saturation criterion and obtains a score of 1.

Tx2 covers 2 units within the saturation criterion and obtains a score of 0.667.

Tx1 covers 2 units within the saturation criterion and obtains a score of 0.667.

 

Below is an image representing the calculation of possible scores taking into account the aforementioned priority controls. The minimum score is 0, so from there a transmitter can start to earn points, and the maximum score of 1 is achieved when a transmitter reaches the maximum number of transmissions. Transmitters above the saturation value are penalized with a score of 0.001.

asp_ex2_graph