Table 1.
Studies about APP with uncertainty.
Own elaboration.
Table 2.
Notation of the deterministic model (3.1).
Table 3.
Own elaboration based in the organization information.
Table 4.
Notation of the stochastic model (11).
Fig 1.
Scenario tree for stochastic Model-I and Model-II.
Own elaboration.
Fig 2.
Flow chart of the methodology.
Own elaboration.
Table 5.
Comparison of how the size of the problem increases with respect to the number of periods for Model-I and Model-II (R.V. denotes random variables, Var. denotes variables, and Int. Var. denotes integer variables).
Own elaboration.
Table 6.
Comparison between Model-I and Model-II regarding the time it takes to solve the problem and the number of iterations.
Own elaboration.
Fig 3.
Comparison between Model-I and Model-II with respect to the expected value solution.
Own elaboration.
Fig 4.
Comparison between Model-I and Model-II with respect to the wait-and-see solution.
Own elaboration.
Fig 5.
Comparison between Model-I and Model-II with respect to the expected value for perfect information.
Own elaboration.
Table 7.
Comparison between Model-I and Model-II with respect to the importance indicators of stochastic optimization, “*” indicates approximation.
Own elaboration.
Table 8.
Sensitivity analysis of Model-I.
Own elaboration.
Table 9.
Sensitivity analysis of Model-II.
Own elaboration.
Table 10.
Impact of the service level constraint in Model-I.
Own elaboration.
Table 11.
Impact of the service level constraint in Model-II.
Own elaboration.
Table 12.
Impact of the service level constraint respect to decision variables in Model-I.
Own elaboration.
Table 13.
Impact of the service level constraint respect to decision variables in Model-II.
Own elaboration.
Fig 6.
Graphical interpretation of the sensitivity analysis for Model-I varying standard deviation parameter for the random variable demand.
Own elaboration.
Fig 7.
Graphical interpretation of the sensitivity analysis for Model-I varying mean parameter for the random variable demand.
Own elaboration.
Table 14.
Model-I sensitivity analysis varying parameters of the probability distribution.
Own elaboration.
Table 15.
Model-II sensitivity analysis varying parameters of the probability distribution.
Own elaboration, "*" denotes the base case.