Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling

Table 13

Log-likelihood values obtained from four algorithm (exp. 1-2) ().

Algorithms & log-likelihood values	Step size ()
	1/32	1/16		1/8	1/4	1/2	1
DFP-
Starting	-	−869.0964727		−869.0964727	−869.0964727	−869.0964727	-
Convergence	-	−705.5400439		−705.5415497	−705.5435313	−705.5461356	-
Iteration num.	-	216		139	95	69	-
BFGS-
Starting	−869.0964727	−869.0964727		−869.0964727	−869.0964727	−869.0964727	−869.0964727
Convergence	−705.5385897	−705.5386006		−705.5386834	−705.5390061	−705.5385813	−705.5391969
Iteration num.	274	158		100	66	48	36
Algorithms & log-likelihood values	Interval of uncertainty
	LL, UL	LL, UL	LL, UL	LL, UL	LL, UL	LL, UL	LL, UL	LL, UL
DFP-GSM-
Starting	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727
Converge	−705.5458168	−705.5482967	−705.5482987	−705.5483539	−705.5494868	−705.5491385	−705.5485776	−705.5494614
Iteration num.	42	17	17	16	14	14	14	13
BFGS-GSM-
Starting	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727	−869.0964727
Converge	−705.5422923	−705.5485768	−705.5437015	−705.5494556	−705.5493428	−705.5498048	−705.5440254	−705.5440296
Iteration num.	26	15	16	13	13	12	14	14