Assume a simple activity$-$based model for full$-$time workers.

$$ There is only one mandatory activity $($work$)$ with fixed location and schedule $(9$ AM $$

$5$ PM$,12$ PM $1$ PM for rest$)$ for each individual, if applicable $($i$.$e$.,$ no need to predict

location and schedule choices for mandatory activity$).$ No business episode exists.

$$ People don$$t participant in joint activity.

$$ Non$-$mandatory activity includes one type: shopping. Only individual level non$-$

mandatory activity is considered, and each individual can conduct at most one non$-$

mandatory activity.

$$ Non$-$mandatory activity has two potential locations and three choices for time$-$of$-$day:

AM$,$ noon, and PM$.$

$$ Tour formation should be considered for mandatory and non$-$mandatory tours.

$$ Travel modes include car, transit, and walk. No need to consider multi$-$modal mode

choice, but car consistency should be considered for a tour.

Please propose an activity$-$based model specification including:

$1)$ A comprehensive framework to describe the relationship of necessary sub$-$models.

$2)$ Model format $($e$.$g$.,$ MNL$)$ and explicit alternatives of each sub$-$model $($please justify your

sub$-$model design$).$

$3)$ Enumerate all possible activity schedules based on your model specification $($exclude mode

choice$)$ as the output of your activity$-$based model.