#************************************************************************
# Initialize
using JuMP
using GLPKMathProgInterface
using Gurobi

#************************************************************************
#  Data declaration

include("handball_data.jl")
(R,A) = size(referfee_arena_distances)
(M,D) = size(match_time)
(T,M) = size(team_match)

# H2 Data
last_optimal_value = 8866.0

#************************************************************************
#  Model

Handball = Model(solver=GurobiSolver())

@variable(Handball, x[1:R, 1:M], Bin) # Referee r assigned to match m

# H2 variable
@variable(Handball, y[1:R, 1:R, 1:M], Bin) # Referee r and referee rr are assigned together for match m
for r in 1:R
    for rr in 1:R
        for m in 1:M
            if r==rr
                setupperbound(y[r,rr,m], 0)
            end
          end
    end
end
@constraint(Handball, tworefs_con[m=1:M], sum(x[r,m] for r=1:R) == 2) # Two refs per match
@constraint(Handball, ref_one_match_a_day_con[r=1:R,d=1:D],
                      sum(x[r,m]*match_time[m,d] for m=1:M) <= 1) # A referee can only be assigned to one match a day
@constraint(Handball, availability_con[r=1:R, d=1:D], sum(x[r,m]*match_time[m,d] for m=1:M) <= 1 - ref_not_available[r,d]) # Referee r must be available for be assigned to day d

# H2.1 constraints
@constraint(Handball, sum(x[r,m]*referfee_arena_distances[r,a]*match_areana[m,a] for a=1:A, m=1:M, r=1:R) <= last_optimal_value) # The distance must be the same as the last calculated optimal value
@constraint(Handball, y_Config1[r=1:R, rr=1:R, m=1:M, r!=rr], x[r,m] + x[rr,m] - 1 <= y[r,rr,m]) # y configuration: if referee r and rr are together in match m, then y = 1
@constraint(Handball, y_Config2[r=1:R,m=1:M,rr=1:R,r!=rr], x[r,m] >= y[r,rr,m]) # y configuration
@constraint(Handball, y_Config2[r=1:R,m=1:M,rr=1:R, r!=rr], x[rr,m] >= y[r,rr,m]) # y configuration


# H2.1 objective
@objective(Handball, Max, sum(y[r,rr,m]*ref_pair[r,rr] for r=1:R,rr=1:R,m=1:M))


#************************************************************************
# solve
solution = solve(Handball)

#************************************************************************
# Report results
println("----------------------------------------");
if solution == :Optimal
   println("RESULTS:")
   println("The minimum distance is = $(getobjectivevalue(Handball))")


else
  println("  No solution")
end
println("----------------------------------------");                                   # solve