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The function returns the fraction of capacity or demand that matches the allocated amount of a scarce resource given the clearing attractiveness x, the attractiveness a (e.g., utility), and the width w = 6σ of a normal distribution function that describes the priority profile for the recipient.

Graph of the allocateNormal Function (Distribution Shown Scaled for Clarity)

Syntax

Functions.allocateNormal(x, a, w);

Examples

Functions.allocateNormal(3.5, 5, 3); // 1.0
Functions.allocateNormal(5.0, 5, 3); // 0.5
Functions.allocateNormal(6.5, 5, 3); // 0.0

See also

allocateUniform, allocateTriangular, allocateExtremeValue

y = allocateNormal(x, a, w)

x	Type: Real Description: Clearing attractiveness
a	Type: Real Description: Attractiveness of recipient
w	Type: Real Description: Width of distribution (i.e., six times the standard deviation)

y	Type: Real Description: Fraction of total capacity or demand allocated to the recipient

• Introduced in v2.0.0.