Solving a Large-Scale Multi-Depot Vehicle Scheduling Problem in Urban Bus Systems

Table 2

Results of Wilcoxon Signed Ranks Test.

(a) Costs

Ranks
	N	Mean Rank	Sum of Ranks
BP Cost-LNS Cost Negative Ranks		20.50	820.00
Positive Ranks		.00	.00
Ties
Total	40
a. BP Cost < LNS Cost
b. BP Cost > LNS Cost
c. BP Cost = LNS Cost
Test Statistics^a
	BP Cost-LNS Cost
Z	-5.511
Asymp. Sig. (2-tailed)	.000
a. Wilcoxon Signed Ranks Test
b. Based on negative ranks.

(b) Time

Ranks
	N	Mean Rank	Sum of Ranks
BP Time-LNS Time Negative Ranks		.00	.00
Positive Ranks		20.50	820.00
Ties
Total	40
a. BP Time < LNS Time
b. BP Time > LNS Time
c. BP Time = LNS Time
Test Statistics^a
	BP Time-LNS Time
Z	-5.511
Asymp. Sig. (2-tailed)	.000
a. Wilcoxon Signed Ranks Test
b. Based on negative ranks.