Supply-Chain-Design-Deterministic-Model

Supply-Chain-Design-Deterministic-Model - Supply Chain...

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Unformatted text preview: Supply Chain Design This problem considers several production plants, warehouses and distribution centers. The location and number of Warehouses and Distribution centers is to be determined. A multiperiod model is assumed. Manufacturing Warehouses Distribution Customer Plants Centers Zones (Fixed Location) (Location to be selected) (Location to be selected) (Fixed Location) Subscripts: p: Products i:Prod. Plants j:Warehouses k:Dist. Centers m:Customer Zones t:Periods X pijt Y pjkt Z pkmt • Mass balance: the steady state is supposed through the Supply Chain t j p Y X k pjkt i pijt , , 2200 = ∑ ∑ (1) t k p Z Y m pkmt j pjkt , , 2200 = ∑ ∑ (2) t k p Demand Z pmt k pkmt , , 2200 ≤ ∑ (3) • Capacity constraints: there are maximum and minimum capacity constraints for the plants and warehouses of the supply chain t i CapM X it pi p j pijt , 2200 ≤ ⋅ ∑∑ α (4) ( α pj : Production capacity factor of p at i ; Capacity per unit produced) i CapM CapM CapM it U i it it L i 2200 Ω ≤ ≤ Ω (5) ( Ω it : Binary variable that states that Manufacturing Plant i is already build in period t ) t j CapW Y jt p pj k pjkt , 2200 ≤ ⋅ ∑∑ β (6) ( β pj : Handling capacity factor of p at j ; Capacity per unit handled) j CapW CapW CapW jt U j jt jt L j 2200 Ψ ≤ ≤ Ψ (7) ( jt Ψ : Binary variable that states that Warehouse j is already build in period t ) t j CapD Z kt p pk m pkmt , 2200 ≤ ⋅ ∑∑...
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Supply-Chain-Design-Deterministic-Model - Supply Chain...

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