How to solve these this integer programming model problems in Matlab? Objective Function with Constraints. can you help me to code this in MATLAB ?

Objective Function

Min r    #radius
r = max d (v,ϕ(v))  
v∈V
Constrains:
v∈Sϕ(θ)
  l(v) ≤ L(θ), ∀θ ∈ Θ
  P ∈ ||P|| , S ∈ ||S||
P = (θ1, φ (θ1)), (θ2, φ (θ2)),…..(θK, φ(θK))  Location
S = {(θ1, Sϕ(θ1)) , . . . , (θK, Sϕ(θK))}  Assignment