Modelling and Simulation in Engineering / 2018 / Article / Tab 17 / Research Article
Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling Table 17 Log-likelihood values obtained from four algorithms responding to a new way of calculating the initial Hessian matrix adopted from BHHH and BHHH-2 algorithm (exp. 3) (
).
Algorithms & log-likelihood values Step size ( ) 1/32 1/16 1/8 1/4 1/2 1 DFP-(BHHH) Starting - −869.0964727 −869.0964727 −869.0964727 −869.0964727 - Convergence - −705.5637886 −705.5640275 −705.5628106 −705.563426 - Iteration num. - 74 37 19 11 - DFP-(BHHH-2) Starting - −869.0964727 −869.0964727 −869.0964727 −869.0964727 - Convergence - −705.5624724 −705.5613663 −705.5582318 −705.5777822 - Iteration num. - 74 37 19 10 - BFGS-(BHHH) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.5653328 −705.5632175 −705.5626989 −705.5594868 −705.5738092 −705.6029697 Iteration num. 147 74 37 19 10 6 BFGS-(BHHH-2) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.5647226 −705.5653491 −705.560551 −705.5562946 −705.5684402 −705.5903477 Iteration num. 147 73 37 19 10 6 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-(BHHH) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.5780259 −705.5800667 −705.5793165 −705.5793036 −705.5793088 −705.5793663 −705.5792608 −705.5792724 Iteration num. 7 6 6 6 6 6 6 6 DFP-GSM-(BHHH-2) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.5801332 −705.5791271 −705.5791655 −705.5790698 −705.5790891 −705.579119 −705.5791455 −705.5790615 Iteration num 7 6 6 6 6 6 6 6 BFGS-GSM-(BHHH) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.7714975 −705.5794055 −705.5794037 −705.579253 −705.5792989 −705.5793014 −705.5793255 −705.5793366 Iteration num 5 6 6 6 6 6 6 6 BFGS-GSM-(BHHH-2) Starting −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 −869.0964727 Convergence −705.5911918 −705.5791171 −705.5791203 −705.5790991 −705.5791241 −705.5791221 −705.579121 −705.5791082 Iteration num. 6 6 6 6 6 6 6 6