Research Article

Designing a Medical Supply Chain Network Considering the Risk of Supply and Flexible Production in Two-Stage Uncertain Conditions

Table 1

Model decision variables.

Decision variables
Factories
Warehouses
Customers
Collection centers
Planning courses
Intended scenarios in the model
Supplied products
Primary and semifinished parts suppliers
Piece/raw material
Supplier relocation options (vehicle)
Options for moving between warehouses
Customer transferring options (vehicle)
Displacement options between disassembly centers
Factory transferring options (vehicle)
Customer demand in each scenario for each product
Market prices for each supplier in each scenario
Purchase volume to offer a discount for each supplier
Part supply capacity for each supplier
Parts needed to make any product
Maximum discount available
Material supply risk from the supplier
Cost of shortage dissatisfaction
Probability of occurrence of scenario s
Cost of moving a unit of products from factory f to warehouse
Cost of moving a unit of products from the warehouse to the customer c
Cost of transportation in order to collect products and transfer them from customer c to disassembly center i
Cost of moving a unit of products in order to transfer it from the collection dismantling center i to the factory f
Cost of moving a unit of products in order to transfer it from the supplier center su to the warehouse
Rates of transportation of products from factory f to warehouse
Rates of transportation of products from the warehouse to the customer c
Product collection rate and transfer from customer c to disassembly center i
Rate of transportation of products from the collection dismantling center i to the factory f
Rates of transportation of products from the supplier su to warehouse
Distance between factory f and warehouse
Distance between warehouse and customer c
Distance between customer c and disassembly center i
Distance between collection dismantling center I and factory f
Distance between supplier and warehouse
Fixed cost for factory reconstruction f
Fixed cost for warehouse reconstruction
Fixed cost for reconstruction of the collection dismantling center i
Variable cost of production per unit of product p in factory f
Variable cost of production per unit of product p in stock
Variable cost of collecting returned products p of customer c
Variable cost of collection center products p
Variable cost of products restoration p
Maximum factory production capacity f to produce product p
Maximum warehouse processing capacity for product warehouse p
Maximum center i disassembly capacity for product p
Maximum factory reconstruction capacity f for product p
Maximum storage capacity to hold part b
The lowest percentage of each unit of parts returned by a customer (product)
Minimum percentage of product units to be shipped from a disassembly center
The amount of carbon dioxide released per unit of product produced at the plant f
The amount of carbon dioxide released per shipment per unit of stock
The amount of carbon dioxide released per disassembly of each product unit at the center i
The amount of carbon dioxide released per unit of product regenerated at the factory f
The amount of carbon dioxide released per shipment for per unit b in storage
The amount of carbon dioxide released to move products between factory f and warehouse with vehicle tf
The amount of carbon dioxide released to move products between warehouse and customer c by a t-type vehicle
The amount of carbon dioxide released to move the product between customer c and the disassembly center i with vehicle tk
The amount of carbon dioxide released to move products between the collection dismantling center i and plant f by vehicle ti
The amount of carbon dioxide released to move the part between the warehouses and the suppliers su with vehicle tsu
Precautionary storage of parts
Number of pieces b purchased from supplier su and transferred to warehouse by vehicle tsu in scenario s and period t
The number of pieces b sent from warehouse to factory using vehicle t in scenario s and in period t
Number of products p produced from factory f and transferred to warehouse using vehicle tf in scenario s and in period t
Number of products p sent from warehouse to customer c using vehicle tw in scenario s and period t
The number of products p collected from customer c to the disassembly center i in scenario s and in period t
The number of products p disassembled that are transferred from center i to factory f using vehicle ti in scenario s and in period t
Inventory for each piece b in period t in scenario s
Inventory for each product p in period t in scenario s
Number of products shortages p for each customer c in each period t and for each scenario s
Cost of parts purchased in different periods from suppliers
Total discounts received from purchases in different periods
Percentage of discounts offered by suppliers for each type of piece in each period and scenario
1 when factory f is active and 0 otherwise
1 when warehouse is active and 0 otherwise
1 when center i is active and 0 otherwise