Modell CLSP-L-PM
SPL
Minimiere Z =
K
P
k=1
M
P
m=1
T
P
t=1
s
k
· γ
m
kt
+
K
P
k=1
M
P
m=1
T
P
t=1
T
P
τ =t
h
ktτ
· δ
m
ktτ
u. B. d. R.
M
P
m=1
τ
P
t=1
δ
m
ktτ
= 1 k = 1, 2, . . . , K; τ = 1, 2, . . . , T
δ
m
ktτ
≤ γ
m
kt
+ ω
m
kt
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T ; τ = t, t + 1, . . . , T ; d
kτ
> 0
K
P
k=1
T
P
τ =t
tb
k
· d
kτ
·δ
m
ktτ
+ tr
k
· γ
m
kt
≤ b
m
t
m = 1, 2, . . . , M
t = 1, 2, . . . , T
K
P
k=1
ω
m
kt
≤ 1
m = 1, 2, . . . , M; t = 1, 2, . . . , T
ω
m
kt
≤ γ
m
k,t−1
+ ω
m
k,t−1
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T
ω
m
kt
+ ω
m
k,t+1
≤ 1 + v
m
t
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T − 1
v
m
t
+ γ
m
kt
≤ 1
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T
ω
m
ˆ
k
m
1
= 1, ω
m
k1
= 0
k = 1, 2, . . . , K; k 6=
ˆ
k
m
; m = 1, 2, . . . , M
δ
m
ktτ
≥ 0
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T ; τ = t, t + 1, . . . , T
γ
m
kt
, ω
m
kt
∈ {0, 1}
k = 1, 2, . . . , K; m = 1, 2, . . . , M
t = 1, 2, . . . , T
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