Question 3 Consider a manufacturing company located in Istanbul. The company manufactures and delivers products to the distribution centers located at Warsaw, Munich, and Amsterdam. The company plans for the upcoming a days. There are 4 orders to be delivered during this planning period. The orders and related information (release date, due date and destination of each order) are given Table 1 Table 1: Order Information Order Release date Due date Weight Destination 32 Munich Warsaw Warsaw 4 B 22 Amsterdam 1 2 3 1 1 2 2 5 4 5 28 24 The company has two options to deliver the orders, to hire trucks or to use a common carrier. The company can consolidate multiple orders in a hired truck. There are two routes used for hired trucks. The related information for the routes is in Table 2. Table 2: Routes Fixed cost Transportation time (days) Truck Route (per truck per Capacity Warsaw Munich Amsterdam trip) 1) Istanbul - Warsaw - Munich 1500 60 2 2) Istanbul - Warsaw - Amsterdam 1800 70 3 4 The information about common carrier charges and delivery times are given Table 3. Table 3: Common carrier information Cost Destination Delivery time (per order) (Days) Munich 700 Warsaw 500 3 Amsterdam 900 4 a) consider that you need to write the mathematical model of shipment consolidation and dispatching problem. Define the decision variables. Present the objective function and each type of constraint clearly. Please present it in an open-form model. b) Assume that the delivery time of the common carrier for Amsterdam order has been changed from 4 days to 5 days. How would you modify the mathematical model to accommodate this information? Question 3 Consider a manufacturing company located in Istanbul. The company manufactures and delivers products to the distribution centers located at Warsaw, Munich, and Amsterdam. The company plans for the upcoming a days. There are 4 orders to be delivered during this planning period. The orders and related information (release date, due date and destination of each order) are given Table 1 Table 1: Order Information Order Release date Due date Weight Destination 32 Munich Warsaw Warsaw 4 B 22 Amsterdam 1 2 3 1 1 2 2 5 4 5 28 24 The company has two options to deliver the orders, to hire trucks or to use a common carrier. The company can consolidate multiple orders in a hired truck. There are two routes used for hired trucks. The related information for the routes is in Table 2. Table 2: Routes Fixed cost Transportation time (days) Truck Route (per truck per Capacity Warsaw Munich Amsterdam trip) 1) Istanbul - Warsaw - Munich 1500 60 2 2) Istanbul - Warsaw - Amsterdam 1800 70 3 4 The information about common carrier charges and delivery times are given Table 3. Table 3: Common carrier information Cost Destination Delivery time (per order) (Days) Munich 700 Warsaw 500 3 Amsterdam 900 4 a) consider that you need to write the mathematical model of shipment consolidation and dispatching problem. Define the decision variables. Present the objective function and each type of constraint clearly. Please present it in an open-form model. b) Assume that the delivery time of the common carrier for Amsterdam order has been changed from 4 days to 5 days. How would you modify the mathematical model to accommodate this information
