Review Article

A Structured Review of Quantitative Models of the Pharmaceutical Supply Chain

Table 2

Quantitative models of pharmaceutical inventories.

AuthorSource of uncertaintyType of demandNumber of medicinesConstraintsMethodologyObjective

Şatir and Cengiz (1987)DemandStochastic3Budgetary
Shortage
Lead times
Stochastic optimizationStock-out

Vincent and Ranton (1984)DemandStochastic1Space limitation
Delivery
Criticality
OptimizationTotal costs

Dellaert and Van De Poel (1996)DemandStochastic1544OptimizationTotal costs

Kelle et al. (2012)DemandStochastic12Space limitation
Service level
Shortage
OptimizationTotal costs

Vila-Parrish et al. (2008)DemandStochastic3Shelf lifeMarkov decision process
Simulation
Total costs

Wu et al. (2015)DemandStochastic1Space limitationSimulationTotal costs

Wang et al. (2015)DemandStochastic1Shortage
Stock-out
Space limitation
Simulation
Heuristic
Total costs

Çakici et al. (2011)DemandStochastic1Lead times
Shortage
Stochastic optimizationTotal costs

Candan and Yazgan (2016)Deterministic15Space limitationOptimizationTotal net profit

Guerrero et al. (2013)Demand
Trigger an order
Delivery success
Stochastic4Space limitation
Service level
Quantity ordered
Markov decision process
Heuristic
Total costs

Rappold et al. (2011)Demand
Bill of material
Stochastic4Space limitationOptimizationTotal costs

Bijvank and Vis (2012)DemandStochastic1Space limitation
Service level
HeuristicService level
Capacity

Little and Coughlan (2008)DemandStochastic110Space limitation
Delivery
Criticality
OptimizationMinimum service level
Average service level