Optimal and heuristic policies for assemble-to-order systems with different review periods

Gönül A. Karaarslan, Zümbül Atan, Ton de Kok, Gudrun P. Kiesmüller

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Abstract

We study an assemble-to-order (ATO) system with a single end product assembled from two components. The inventory levels of the components are reviewed periodically. One component is expensive and has a long lead time and short review period, whereas the other component is relatively cheap with a shorter lead time and longer review period. The lead times are deterministic and review periods are determined exogenously. Stochastic customer demand occurs for the end product only and unsatisfied customer demands are backordered. The system incurs holding costs for component inventories and penalty costs for backorders. Assuming an infinite planning horizon, our objective is to identify the optimal component ordering policy to minimize the long-run average cost. Under specific demand distributions we identify the properties of the optimal component ordering policy and observe that the optimal policy has a complex state-dependent structure. Motivated by the complexity of the optimal policy, we introduce a heuristic component ordering policy for more general demand distributions. Given that the heuristic performs well, we use it to measure the effects of various system parameters on the total cost.

Original languageEnglish
Pages (from-to)80-96
Number of pages17
JournalEuropean Journal of Operational Research
Volume271
Issue number1
DOIs
Publication statusPublished - 16 Nov 2018

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Heuristics
Ordering Policy
Costs
Optimal Policy
Customers
Long-run Average Cost
Planning
Backorder
Policy
Review
Assemble-to-order
Order systems
Penalty
Horizon
Minimise
Dependent
Demand
Ordering policy
Lead time
Optimal policy

Keywords

  • Assemble-to-order systems
  • Heuristic
  • Optimal solution
  • Ordering policy
  • Supply chain management

Cite this

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abstract = "We study an assemble-to-order (ATO) system with a single end product assembled from two components. The inventory levels of the components are reviewed periodically. One component is expensive and has a long lead time and short review period, whereas the other component is relatively cheap with a shorter lead time and longer review period. The lead times are deterministic and review periods are determined exogenously. Stochastic customer demand occurs for the end product only and unsatisfied customer demands are backordered. The system incurs holding costs for component inventories and penalty costs for backorders. Assuming an infinite planning horizon, our objective is to identify the optimal component ordering policy to minimize the long-run average cost. Under specific demand distributions we identify the properties of the optimal component ordering policy and observe that the optimal policy has a complex state-dependent structure. Motivated by the complexity of the optimal policy, we introduce a heuristic component ordering policy for more general demand distributions. Given that the heuristic performs well, we use it to measure the effects of various system parameters on the total cost.",
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Optimal and heuristic policies for assemble-to-order systems with different review periods. / Karaarslan, Gönül A.; Atan, Zümbül; de Kok, Ton; Kiesmüller, Gudrun P.

In: European Journal of Operational Research, Vol. 271, No. 1, 16.11.2018, p. 80-96.

Research output: Contribution to journalArticleAcademicpeer-review

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