find sortest path in mutablearray in iphone app

find sortest path in mutablearray in iphone app

I have ten Location with origin. i want shortest path NSMutableArray.
For example
These are my locations:
Starting point(Current Location):- Ahmedabad 0 km
(lat:XXXXXXX,lng:XXXXXXX)
Gandhinagar 30 km (lat:XXXXXXX,lng:XXXXXXX)
Rajkot 200 km (lat:XXXXXXX,lng:XXXXXXX)
Limdi 100 km (lat:XXXXXXX,lng:XXXXXXX)
Junagadh 300 km (lat:XXXXXXX,lng:XXXXXXX)
Vanthli 315 km (lat:XXXXXXX,lng:XXXXXXX)
palanpur 400 km (lat:XXXXXXX,lng:XXXXXXX)
keshod 350 km (lat:XXXXXXX,lng:XXXXXXX)
veraval 420 km (lat:XXXXXXX,lng:XXXXXXX)
i want shortest array like this
Output:- Ahmedabad
Gandhinagar
Limdi
Rajkot
Junagadh
Vanthli
Keshod
Veraval
Palanpur
Means in first position is my starting point so Ahmedabad is First,
Gandhinagar is nearest from ahmedabad so Gandhinagar is second, then limdi
is nearest than gandhinagar so Limdi is third, rajkot is nearest from
Limdi so Rajkot is Forth, at last i have to cover all the locations with
shortest algorithm,
i use Google's Distance Matrix API but it time consuming. (because i have
to call this method 8 times than i get exact result.)
Is there any method or algorithm to find out and return me shortest
NSMutableArray