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An exact analysis on age-based control policies for perishable inventories
IISE Transactions ( IF 2.6 ) Pub Date : 2020-09-01 , DOI: 10.1080/24725854.2020.1785649
Saeed Poormoaied 1 , Ülkü Gürler 2 , Emre Berk 3
Affiliation  

Abstract

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.



中文翻译:

易变质库存基于年龄的控制策略的精确分析

摘要

我们调查了易变质库存的基于年龄的控制策略(即所谓的(QrT)政策,具有提前期和固定寿命。在存在服务水平约束的情况下,可以对这种控制策略进行准确的分析,其条件是:在打开包装进行消费时,批次的老化过程开始,并且在任何时候最多可以下达一个订单。 。在这项工作中,我们将这些结果归纳为一个以上的未完成订单,并假定批次的老化过程自订购之日起开始。在这种老化过程中,我们在嵌入式马尔可夫过程的嵌入式周期开始时得出批次的有效寿命分布。我们提供了操作特性表达式,并通过更新奖励定理方法构造了成本率函数。通过研究成本率和服务水平约束结构,我们开发了一种精确的算法。拟议的政策在很大程度上取决于其特殊的两参数政策,后者是随时间变化的(QT)和库存相关(Qr)策略。数值研究表明,物品的老化过程显着影响库存政策的执行情况。此外,在系统中允许一个以上的未完成订单可以节省大量成本,特别是当项目寿命短且服务水平高时。

更新日期:2020-09-01
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