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Designing the logistics network. Facility location decisions. Criteria Demand and locations of the demand Distribution systems (Rail, ground, air, sea) Material sources Energy sources and cost Labor: qualifications and cost. Location Problems. Time Horizon: Single Period single facility
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Facility location decisions • Criteria • Demand and locations of the demand • Distribution systems (Rail, ground, air, sea) • Material sources • Energy sources and cost • Labor: qualifications and cost
Location Problems • Time Horizon: • Single Period single facility • Multi-period, periodic modifications on the location • Facility Typology: • Single kind (RDC or CDC) • Multi kind (RDC and CDC) • Material Flow: • Single commodity • Multi commodity • Interactions among facilities • Dominant material flow: • Inbound material movement is more important • Outbound material movement is more important • Both inbound and outbound material movements are important • Demand divisibility • Demand can be acquired from multiple source or single source • Influence of transportation on location determination
Modeling and solving location problems • Single-echelon single-commodity location models • Facilities to be located are homogeneous • Material flow in and out are negligible • All material flows are homogenous. They are treated a single commodity • Transportation cost is linearly correlated with the amount and concave • Facility operating cost is linear and concave
Mathematical model definition • Dj: Demand by customer j • Qi: Capacity of a potential facility i • Ui: Operations in a facility • Sij: amount of product sent from i to j. • Cij(Sij): Cost of shipping Sij unit product • Fi(Ui): Operation cost at facility i
S.t. Ui<=Qi Sij>=0 Ui>=0
What is cost? • Fi(Ui) is the operating cost. • Includes both fixed and variable cost