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Published byBartholomew Cobb Modified over 9 years ago
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Economic Order Strategy in Dining Service Distribution Center Qian Zhang Qiuyue Zhao
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Problem Definition S2 S1 S3 S4 S5 S6 Dining Hall -1 Dining Hall-2 Dining Hall-3
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Problem Definition Transportation Cost Holding Cost Perish Cost Location of Suppliers Inventory Level Product life Product Price
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Objective Minimize total cost How much to order from which supplier Tracing the inventory of product from certain supplier at time t Check how much product DC dump at time t
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Assumption DC only order once in a certain time period All the products delivered from DC until all the orders arrived Frequency of product delivered from DC to dining halls in a certain period is known The shortage for DC is not allowed The holding cost for each kind of product is same One supplier can provide multiple types of products Model
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Parameter P sk Price of the k th type of product by the s th Supplier H Holding cost per product R s Transportation cost per truck of the s th Supplier a skt =1, if product k shipped by supplier s expires at time t 0, otherwise B s Truck transportation capacity of supplier s D kt Demand for product k at time t F sk Supply capability of supplier s for product k Model
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Variables Q sk quantity of product k ordered from supplier s X skt inventory of product k from supplier s at time t Y skt how much we use product k from supplier s to satisfy demand in time t Z skt amount we dump of product k from supplier s at time t I s times of delivered trucks Model
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Objective Function Model
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Constrains Satisfy demand Inventory balance Minimize perish Supply capability Initial inventory Model
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Data Collection H=$0.08 P B 10 P1P2P3 S11.32.63.4 S21.82.33.2 S1S2S3S4 B150170200210
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At time t1 11 P1P2P3P4P5P6P7P8P9P10 S1000100022600001690 S23000100180018002720020520 S300014522100540479800 Data Collection
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Result S2S1S3S4S5S6 P1P2P3P4P5 P6P7 P8 P9 P10 100 22601690 3000100180018 272 0 2052 1452210 540 4798 2000 51001141150 500 30148 1230 400 500 2000 570 Products Suppliers
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