Question: Given the MOMILP model for the current decentralized supply chain as following: Index set: i: Index of Cellphone Type (i = 1, , m) j:
Given the MOMILP model for the current decentralized supply chain as following: Index set: i: Index of Cellphone Type (i = 1, , m) j: Index of Manufacturer (j = 1, , n) t: Index of Period (t = 0, ,T) Parameters: Dit: Monthly demand of Cellphone Type i at Period t Kij: Monthly capacity for Cellphone Type i of Manufacturer j Oij: Fixed monthly order cost for Cellphone Type i of Manufacturer j Cij: Unit cost of Cellphone Type i offered by Manufacturer j rij: Defective rate of Cellphone Type i ordered from Manufacturer j lij: Delivery lateness of Cellphone Type i ordered from Manufacturer j H: Annual interest rate (H=10%) R: Upper limit of accepted rejection rate (R=3.0%) L: Upper limit of accepted lateness rate (L=4.0%) Decision Variables: xijt: Quantity of Cellphone Type i ordered from Manufacturer j at Period t yijt = ! 1, if there is a quantity of Cellphone Type i ordered from Manufacturer j at Period t 0, otherwise Iit: Inventory level of Cellphone Type i at Period t Objective Function: Minimize Z = Total cost Build the constraints of this model to guarantee that: a. Monthly quantities ordered for Cellphone Type i shall be under the monthly capacity of every Manufacturer j per Cellphone Type i (15 points) b. Monthly inventory level of Vodafone for every Cellphone Type i is equal to the combination of previous months inventory and current months total order quantity from all potential manufacturers, subtracting that months demand, while there is no inventory at t=0 (Hint: Build 2 separate constraints for t=0 and t =/= 0) (20 points) c. Monthly late-delivered quantity of every Cellphone Type i provided by its all potential manufacturers should be under lateness limit (L=4.0% of demand) (15 points)
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