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Supply Chain & Logistics

Quantity-based emergency shipment policies

Saeed PoormoaiedDepartment of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, Eindhoven, The Netherlands

Zümbül AtanDepartment of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, Eindhoven, The NetherlandsCorrespondence[email protected]

https://orcid.org/0000-0003-1328-1756

Tom van WoenselDepartment of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, Eindhoven, The Netherlands

Figures & data

Figure 1. A sample path of the inventory level/inventory position for the $(S, r, q, T)$ policy with S = 10, r = 3, q = 5 and T = 2.

Table 1. Optimal $(S, r, q, T)$ policies with fixed period length T = 7, $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Display Table

Table 2. Optimal $(S, r, q, T)$ policies $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Display Table

Table 3. Stock-based policies when T = 14 for (a) single and (b) multiple emergency shipment opportunities.

Display Table

Table 4. Comparison of the $(S, r, q, T)$ policy with the $(S, r, q, ζ, T)$ policy with different lead time values when the period length is fixed at T = 7 (λ = 5, h = 1, c_o = 5 and c_e = 5).

Display Table

Table 5. Comparison of three policies for $ℓ \in {0, 1, 2},$ T = 7, λ = 5, h = 1, c_o = 5 and c_e = 5.

Display Table

Supplemental material

Online_appendix.pdf

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Data availability statement

The authors confirm that the data supporting the findings of this study are available within the article and its supplementary materials.

Quantity-based emergency shipment policies

Table 1. Optimal $(S, r, q, T)$ policies with fixed period length T = 7, $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Table 2. Optimal $(S, r, q, T)$ policies $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Table 3. Stock-based policies when T = 14 for (a) single and (b) multiple emergency shipment opportunities.

Table 4. Comparison of the $(S, r, q, T)$ policy with the $(S, r, q, ζ, T)$ policy with different lead time values when the period length is fixed at T = 7 (λ = 5, h = 1, c_o = 5 and c_e = 5).

Table 5. Comparison of three policies for $ℓ \in {0, 1, 2},$ T = 7, λ = 5, h = 1, c_o = 5 and c_e = 5.

Online_appendix.pdf

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Quantity-based emergency shipment policies

Figures & data

Table 1. Optimal (S,r,q,T) policies with fixed period length T = 7, ℓ∈{0,1,2}, λ = 5, h = 1, co = 5 and ce = 5.

Table 2. Optimal (S,r,q,T) policies ℓ∈{0,1,2}, λ = 5, h = 1, co = 5 and ce = 5.

Table 3. Stock-based policies when T = 14 for (a) single and (b) multiple emergency shipment opportunities.

Table 4. Comparison of the (S,r,q,T) policy with the (S,r,q,ζ,T) policy with different lead time values when the period length is fixed at T = 7 (λ = 5, h = 1, co = 5 and ce = 5).

Table 5. Comparison of three policies for ℓ∈{0,1,2}, T = 7, λ = 5, h = 1, co = 5 and ce = 5.

Online_appendix.pdf

Data availability statement

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Table 1. Optimal $(S, r, q, T)$ policies with fixed period length T = 7, $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Table 2. Optimal $(S, r, q, T)$ policies $ℓ \in {0, 1, 2},$ λ = 5, h = 1, c_o = 5 and c_e = 5.

Table 4. Comparison of the $(S, r, q, T)$ policy with the $(S, r, q, ζ, T)$ policy with different lead time values when the period length is fixed at T = 7 (λ = 5, h = 1, c_o = 5 and c_e = 5).

Table 5. Comparison of three policies for $ℓ \in {0, 1, 2},$ T = 7, λ = 5, h = 1, c_o = 5 and c_e = 5.