Developing a closed-form cost expression for an (R,s,nQ) policy where the demand process is compound generalized Erlang

C. Larsen; G.P. Kiesmüller

doi:10.1016/j.orl.2006.11.002

Developing a closed-form cost expression for an (R,s,nQ) policy where the demand process is compound generalized Erlang

C. Larsen, G.P. Kiesmüller

Operations Planning Accounting & Control

Research output: Contribution to journal › Article › Academic › peer-review

10 Citations (Scopus)

17 Downloads (Pure)

Abstract

We derive a closed-form cost expression for an (R,s,nQ) inventory control policy where all replenishment orders have a constant lead-time, unfilled demand is back-logged and inter-arrival times of order requests are generalized Erlang distributed. For given values of Q and R we show how to compute the optimal reorder level s.

Original language	English
Pages (from-to)	567-572
Number of pages	6
Journal	Operations Research Letters
Volume	35
Issue number	5
DOIs	https://doi.org/10.1016/j.orl.2006.11.002
Publication status	Published - 2007

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10.1016/j.orl.2006.11.002

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title = "Developing a closed-form cost expression for an (R,s,nQ) policy where the demand process is compound generalized Erlang",

abstract = "We derive a closed-form cost expression for an (R,s,nQ) inventory control policy where all replenishment orders have a constant lead-time, unfilled demand is back-logged and inter-arrival times of order requests are generalized Erlang distributed. For given values of Q and R we show how to compute the optimal reorder level s.",

author = "C. Larsen and G.P. Kiesm{\"u}ller",

year = "2007",

doi = "10.1016/j.orl.2006.11.002",

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T1 - Developing a closed-form cost expression for an (R,s,nQ) policy where the demand process is compound generalized Erlang

AU - Larsen, C.

AU - Kiesmüller, G.P.

PY - 2007

Y1 - 2007

N2 - We derive a closed-form cost expression for an (R,s,nQ) inventory control policy where all replenishment orders have a constant lead-time, unfilled demand is back-logged and inter-arrival times of order requests are generalized Erlang distributed. For given values of Q and R we show how to compute the optimal reorder level s.

AB - We derive a closed-form cost expression for an (R,s,nQ) inventory control policy where all replenishment orders have a constant lead-time, unfilled demand is back-logged and inter-arrival times of order requests are generalized Erlang distributed. For given values of Q and R we show how to compute the optimal reorder level s.

U2 - 10.1016/j.orl.2006.11.002

DO - 10.1016/j.orl.2006.11.002

M3 - Article

SN - 0167-6377

VL - 35

SP - 567

EP - 572

JO - Operations Research Letters

JF - Operations Research Letters

IS - 5

ER -

Developing a closed-form cost expression for an (R,s,nQ) policy where the demand process is compound generalized Erlang

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