192
Table 4 Objective function and constraints of reserve selection problems for the pheasant
example.DuetothefactthatG. gallus is contained in all but one area there are many area-split
constraints of the form yzσ≤+BT zzID++IN zzLK++PH zzMY++TH zVN. Such constraints are
redundant since k ≥ 2, and thus omitted
Maximize λλ
11 yy+...+ 2020
(1)
Subject to
Size constraint: zzzzzzzzk
ID++LK BT++IN PH++MY TH+≤VN(8)
Binary constraints: zr
r∈{,^01 }∀area(9)yσ∈∀{} 01 , σ= 12 ,.., 0 (4)
Area-split constraints: yzz
1 ≤+BT TH(10)yz 2 ′′ ID
yz 3 ′′ PH
yz 4 ′′ VN
yz 5 ′′ MY
yz 6 ′′ MY
yz 7 ≤+BT zzID++IN zzPH++MY zzTH+VN
yz 8 ′′ LK
yz 9 ′′ IN
yz 10 ′′ ID
yz 11 ≤+BT zzID+TH
yz 12 ≤+BT zzID++MY zTH
yz 13 ≤+BT zzID++MY zzTH+VN
yz 14 ≤+BT zzID++MY zzTH+VN
yz 15 ≤+BT zzID++PH zzMY++TH zVN
yz 16 ≤+BT zzID++PH zzMY++TH zVN
yz 17 ≤+BT zzID++IN zzPH++MY zzTH+VN
yz 18 ≤+BT zzID++IN zzPH++MY zzTH+VN
yz 18 ≤+ID zLK
yz 19 ≤+BT zzID++PH zzMY++TH zVN
yz 20 ≤+BT zzID++LK zzPH++MY zzTH+VN
yz 20 ≤+BT zzID++IN zzPH++MY zzTH+VN
Budget constraint: cz cz cz B
IDID++LKLK ...+VNVN≤(11)O. Chernomor et al.