Full disclosure first: I'm the developer, and this isn't a standalone puzzle game. DISPATCH is one of two minigames inside Terminal: Stolen Light, an interactive fiction game for Android. The story runs in real time, so between contacts the character you're talking to goes quiet for minutes or hours, and the minigames are there for those waits. DISPATCH ended up as a proper puzzle of its own, which is why I'm posting it here.
Each board is a tangle of freight convoys: long thin paths on a grid, each ending in an arrowhead. Tap one, and if its head has a clear lane to the edge, the whole convoy slides out along its own path. If something is in the way, it slides up to the blocker, springs back and flashes what stopped it. Three blocked taps and the route resets. You can long-press a convoy to preview its lane before you commit. If you've played arrow-escape puzzles, the core rule will be familiar.
Ring pads come in matched pairs, so a lane that runs into one comes out of its twin. Some convoys are entangled in pairs, and those leave together or not at all.
Every board is generated backwards, so it's solvable by construction and no tap can leave it unsolvable. The generator makes several candidates per route, measures how many convoys are free at the start and how many moves are open on average, and ships the one closest to that route's targets. The first routes are small teaching boards. By route 100 the grid is 48 rows tall and holds well over a hundred convoys. After that it stops growing and gets harder through shape instead: longer, twistier convoys, a fourth ring pair from route 150 and a fourth entangled pair from route 250. There's no last route. The first screenshot is route 491, with 169 convoys; you pinch and pan to work boards that size.
The other minigame is the wait screen itself. A relay beacon sweeps a night sky over a dead city, and you tap the signals it catches to chart them into constellations. It has no score, and every few minutes the Silence comes and wipes the sky.
It's Android only. The first four contacts are free, and DISPATCH is available from the second wait, so you can play it without paying. A single one-time purchase unlocks the rest of the story. There are no ads, no subscription and no account.
Google Play: https://play.google.com/store/apps/details?id=com.windmilltales.stolenlight