Review Article

A Structured Review of Quantitative Models of the Pharmaceutical Supply Chain

Table 3

Quantitative models of optimization of the pharmaceutical supply chain.

AuthorSource of uncertaintyType of demandNumber of medicinesConstraintsObjectiveMethodologySupply chain components

Kim (2005)DeterministicTotal costsOptimizationPharmaceutics
Wholesalers
Hospitals

Baboli et al. (2011)Deterministic7Vehicle capacity
Warehouse capacity
Total costsOptimizationWarehouse
Retailer

Azzi et al. (2013)Deterministic3Warehouse capacityTotal costsOptimization
Simulation
Warehouse
Hospitals

Hassan et al. (2006)Deterministic8Warehouse capacityTotal costsMulticriteria decision-makingWarehouse
Hospitals

Uthayakumar and Priyan (2013)Lead times
Demand
Stochastic3Lead times
Payment delays
Perishability
Production rate
Total costsLagrangian relaxationWarehouse
Pharmacy

Priyan and Uthayakumar (2014)Total cost
Lead times
Demand
Stochastic3Lead times
Payment delays
Perishability
Production rate
Total costsOptimizationWarehouse
Pharmacy

Zhao et al. (2012)Prices
Demand
Stochastic1Production rate
Budget
ProfitHeuristicManufacturer
Distributor

Nicholson et al. (2004)DemandStochastic1Backorder
Service level
Warehouse capacity
Total costsHeuristicManufacturer
Warehouse
Pharmacy

Sinha and Matta (1991)DemandStochastic1Total costsOptimizationWarehouse
Pharmacy

Rogers and Tsubakitani (1991)DemandStochastic1BudgetTotal costsLagrangian relaxationWarehouse
Pharmacy

Balcázar-Camacho et al. (2016)Deterministic3Production rate
Warehouse capacity
Total costsOptimizationManufacturer
Warehouse
Pharmacy

Stecca et al. (2016)Deterministic4Production rate
Warehouse capacity
Total costsOptimizationManufacturer
Warehouse
Pharmacy

Dutta et al. (2007)Deterministic7Production rate
Warehouse capacity
Total costsOptimizationManufacturer
Warehouse

Jetly et al. (2012)DemandStochastic3Life cycleTotal costsSimulationManufacturer
Supplier
Distributor

Eberle et al. (2014)DemandStochastic2Lead timesTotal costsSimulationManufacturer
Warehouse

Masoumi et al. (2012)Prices
Demand
Stochastic1PerishabilityProduct flowsInequality theoryPharmaceutics

Hansen and Grunow (2015)Demand
Authorization
Stochastic1Production rateTotal costsStochastic optimizationManufacturer

Rego et al. (2014)Deterministic2Warehouse capacityTotal costsMetaheuristicSupplier
Pharmacies

Grunow et al. (2003)Deterministic5Lead times
Production rate
Total costsOptimization
Heuristic
Manufacturer

Amaro and Barbosa-Póvoa (2008)DeterministicWarehouse capacity
Vehicle capacity
Total costsOptimizationSupplier
Pharmacies

Weraikat et al. (2016)  [63]DeterministicWarehouse capacity
Vehicle capacity
Total costsOptimization
Lagrangian relaxation
Supplier
Pharmacies

Shih and Lin (2003)DeterministicWarehouse capacity
Vehicle capacity
Total costsMulti-criteria optimizationSupplier
Pharmacies

Weraikat et al. (2016)  [65]DeterministicWarehouse capacity
Vehicle capacity
Total costsOptimizationSupplier
Pharmacies

Xie and Breen (2012)DeterministicWarehouse capacity
Vehicle capacity
WasteOptimizationSupplier
Pharmacies