An Exact Analysis on Age-based Control Policies for Perishable Inventories
Autor: | Ülkü Gürler, Emre Berk, Saeed Poormoaied |
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Přispěvatelé: | Operations Planning Acc. & Control, Gürler, Ülkü |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Mathematical optimization
Agebased control policy Renewal reward theorem Computer science multiple outstanding orders Control (management) Multiple outstanding orders Process (computing) Markov process renewal reward theorem Industrial and Manufacturing Engineering symbols.namesake effective lifetime Exact algorithm Order (business) age-based control policy Effective lifetime Service level symbols Rate function Lead time Perishable inventories |
Zdroj: | IISE Transactions, 53(2), 221-245. Informa UK Limited IISE Transactions |
ISSN: | 2472-5854 |
Popis: | We investigate the impact of effective lifetime of items in an age-based control policy for perishable inventories, a so-called (Q, r, T) policy, with positive lead time and fixed lifetime. The exact analysis of this control policy in the presence of a service level constraint is available in the literature under the restriction that the aging process of a batch begins when it is unpacked for consumption, and that at most one order can be outstanding at any time. In this work, we generalize those results to allow for more than one outstanding order and assume that the aging process of a batch starts since the time that it is ordered. Under this aging process, we derive the effective lifetime distribution of batches at the beginning of embedded cycles in an embedded Markov process. We provide the operating characteristic expressions and construct the cost rate function by the renewal reward theorem approach. We develop an exact algorithm by investigating the cost rate and service level constraint structures. The proposed policy considerably dominates its special two-parameter policies, which are time-dependent (Q, T) and stock-dependent (Q, r) policies. Numerical studies demonstrate that the aging process of items significantly influences the inventory policy performance. Moreover, allowing more than one outstanding order in the system reaps considerable cost savings, especially when the lifetime of items is short and the service level is high. |
Databáze: | OpenAIRE |
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