This section divided in two cases: a first case is an inventory model designed for retailer and second case is an inventory model designed for the supplier.
4.3.1 Case I: Inventory model of the first cycle (0 ≤ t ≤ T) designed for retailer
At first, at t=0 retailer has his delivery and put up for sale at a stock dependent demand rate. The stock for retailer decreases due to the combined result of demand and deterioration. At t=t1 inventory becomes zero and shortages occurs during the period [t1, T]. At t=T maximum shortages occurs. This scenario is presented in the figure 4.1, and governed by the following differential equations.
0 Time …show more content…
After the utilizing of products, supplier established to take-back product course of action. The reverse manufacturing development starts from accumulating of second-hand products from the customers, then cleaning and disassembly procedure is continuing. After collecting, sorting and disassembly course of action, a fraction of sort’s product can be remanufactured and restored. The remanufactured products are supposed to be of first-classfeature and agreeable for buyers. The procedure of reverse manufacturingexposed in figure 4.3, and governs by the following differential equations. (4.30) (4.31) (4.32) (4.33)
Using the boundary conditions we have Fig.4.3:Reverse manufacturing inventory designed for supplier. (4.34) (4.35) (4.36) (4.37)
Using continuity of inventory level at time t=T1 and T2 we have (4.38) (4.39)
1. Holding cost of remanufacturing planned for the supplier is
(4.40)
2. Deterioration cost of remanufacturing products planned for the supplier
(4.41)
3. Cleaning, disassembly cost planned for the …show more content…
Convertibility cost planned for supplier is (4.44)
6. Repair cost planned for supplier: taking into account of component functional life and danger rate is Weibull distributed with LT2 as the component-design life and β is the figure parameter. Subsequently the stand fornot a success rate is (4.45)
7. Repair cost designed for supplier is (4.46)
8. Salvaged cost designed for supplier: salvage cost declines due to product design with the consideration of function improve design. Thus, salvage cost after cleaning, disassembly, arranging and recognizing in the collecting distribution designed for supplier is (4.47)
4.5 Designing product life-cycle by way of product function up-gradation
Supplier’s product life-cycle (L) design cost is the total of green design and the design cost of product function up-gradation cost. Therefore, the present worth of product life-cycle design cost is (4.48)
The cost of supplier have less flexibility to executing just-in-time deliverance for total n deliveries is (4.49)
Let the number of assessment is equal to number of deliveries and the assessment takes place at the beginning of the cycle. So cost of assessment for complete n deliveries designed for supplier is
4.3.1 Case I: Inventory model of the first cycle (0 ≤ t ≤ T) designed for retailer
At first, at t=0 retailer has his delivery and put up for sale at a stock dependent demand rate. The stock for retailer decreases due to the combined result of demand and deterioration. At t=t1 inventory becomes zero and shortages occurs during the period [t1, T]. At t=T maximum shortages occurs. This scenario is presented in the figure 4.1, and governed by the following differential equations.
0 Time …show more content…
After the utilizing of products, supplier established to take-back product course of action. The reverse manufacturing development starts from accumulating of second-hand products from the customers, then cleaning and disassembly procedure is continuing. After collecting, sorting and disassembly course of action, a fraction of sort’s product can be remanufactured and restored. The remanufactured products are supposed to be of first-classfeature and agreeable for buyers. The procedure of reverse manufacturingexposed in figure 4.3, and governs by the following differential equations. (4.30) (4.31) (4.32) (4.33)
Using the boundary conditions we have Fig.4.3:Reverse manufacturing inventory designed for supplier. (4.34) (4.35) (4.36) (4.37)
Using continuity of inventory level at time t=T1 and T2 we have (4.38) (4.39)
1. Holding cost of remanufacturing planned for the supplier is
(4.40)
2. Deterioration cost of remanufacturing products planned for the supplier
(4.41)
3. Cleaning, disassembly cost planned for the …show more content…
Convertibility cost planned for supplier is (4.44)
6. Repair cost planned for supplier: taking into account of component functional life and danger rate is Weibull distributed with LT2 as the component-design life and β is the figure parameter. Subsequently the stand fornot a success rate is (4.45)
7. Repair cost designed for supplier is (4.46)
8. Salvaged cost designed for supplier: salvage cost declines due to product design with the consideration of function improve design. Thus, salvage cost after cleaning, disassembly, arranging and recognizing in the collecting distribution designed for supplier is (4.47)
4.5 Designing product life-cycle by way of product function up-gradation
Supplier’s product life-cycle (L) design cost is the total of green design and the design cost of product function up-gradation cost. Therefore, the present worth of product life-cycle design cost is (4.48)
The cost of supplier have less flexibility to executing just-in-time deliverance for total n deliveries is (4.49)
Let the number of assessment is equal to number of deliveries and the assessment takes place at the beginning of the cycle. So cost of assessment for complete n deliveries designed for supplier is