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

Table 15

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

Algorithms & log-likelihood values	Step size ()
	1/32	1/16		1/8	1/4	1/2	1
DFP-
Starting	-	−860.5995082		−860.5995082	−860.5995082	−860.5995082	-
Convergence	-	−705.5871328		−705.6177499	−705.6517527	−705.6940772	-
Iteration num.	-	78		55	43	31	-
BFGS-
Starting	−860.5995082	−860.5995082		−860.5995082	−860.5995082	−860.5995082	−860.5995082
Convergence	−705.5763454	−705.5817776		−705.5869734	−705.5896347	−705.6084271	−705.6838354
Iteration num.	148	77		48	32	21	16
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	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082
Convergence	−705.7088334	−705.7191719	−705.8555421	−705.7644033	−705.7724656	−705.7661276	−705.8789338	−705.8718341
Iteration num.	23	11	9	10	10	9	8	8
BFGS-GSM-
Starting	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082	−860.5995082
Convergence	−705.5878645	−705.6088839	−705.5924319	−705.5903149	−705.6002936	−705.6186549	−705.5948914	−705.6192299
Iteration num.	15	11	11	11	10	9	10	9