Resource Management in WCDMA - Multiobjective Optimization Methodology: A Jumping Gene Approach - page 162

Table 7.7
Means.and.Standard.Deviations.of.the.Deb.and.Jain.Convergence.
Metric.for.Scenario.b:.50.Users

Set MOGA NPGA2 NSGA2 SPEA2 JG

1 13.46179 8.39987 6.37275 10.43100 6.06237

(5.71459) (5.53798) (1.459121) (4.741348) (1.89943)

2 59.60346 19.26178 26.96596 29.33367 19.17224

(65.98679) (9.28943) (14.59247) (14.247461) (7.71705)

3 72.61046 50.28666 33.55322 51.05154 29.49879

(42.08842) (33.06023) (8.70762) (21.898426) (9.25324)

4 303.3512 153.1214 73.5405 129.8568 55.6418

(199.1566) (153.0053) (37.7913) (101.1470) (30.6113)

5 263.9020 150.9318 141.2099 165.5834 126.0499

(103.2448) (104.1002) (44.1734) (127.0334) (38.6520)

6 41.96852 18.05840 11.92954 38.94970 8.52393

(34.81254) (21.10841) (4.93901) (36.85691) (3.46312)

7 12.45827 9.40626 11.49188 10.84423 11.17905

(1.63119) (2.31925) (2.20902) (2.57163) (1.99769)

8 15.10310 11.17514 8.75691 11.81171 9.06114

(6.57848) (6.66243) (1.21806) (5.25236) (1.42337)

9 12.35986 8.03292 8.42076 10.52409 8.42551

(1.81740) (1.88473) (1.80773) (5.03765) (2.43144)

10 18.02363 8.84941 8.21734 10.98513 7.57032

(8.17962) (4.32090) (1.81956) (7.37767) (2.21656)

Note: . The.best.result.for.each.testing.set.is.marked.in.bold,.and.the.values.
in.parentheses.represent.the.standard.deviation.

As.with.the.performance.for.convergence,.the.JG.acquired.better.diversity.
performance. in. the. scenario. (i.e.,. scenario. b). when. more. connecting. users.
were.encountered.

7.8.3 Diversity evaluation using extreme
Nondominated Solution generation

Figures 7.4 . and . 7.5 . depict.the.total.number.of.extreme.nondominated.solu-
tions.found.by.various.MOEAs.in.50.simulation.runs.for.all.10.sets.of.each.
of. scenarios. a. and. b,. respectively.. The. scaling. factors. [see. the. definition.
given.in.Equations.(5.11).and.(5.12)].chosen.for.scenarios.a.and.b.were.0.01.
and.0.02,.respectively.
The.reason.to.have.a.larger.scaling.factor.for.scenario.b.is.that.the.distance.
between.the.nondominated.fronts.of.the.MOEAs.and.the.reference.front.is.
larger.. If. 0.01. is. assigned,. the. total. number. of. extreme. solutions. found. by.
each.MOEA.may.be.zero,.and.the.results.could.not.be.compared.