The Queuing Model for Perishable Inventory with Lost Sale Under Random Demand, Lead Time and Lifetime

IF 0.7 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Modeling Identification and Control Pub Date : 2017-01-01 DOI:10.2316/P.2017.848-047
Kanchala Sudtachat, S. Tantrairatn, V. Phunpeng
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Abstract

This paper we propose a continuous review inventory system for perishable inventory with lost sales. We consider a single demand types and a single unit for placing and depleting the demand. The demand, lead time and life time is random variables according to an exponentially distributed. We develop the inventory system as a Markov process with impatient customer. We formulate the model as a M/M/∞ queuing model given a (r, S) and (r, K) policies. The state of system is a number of on-hand inventories and obtains the limited steady state probability at state n. The limited steady state probability approach is based on a basic rule of the rate of transition out equal to the rate of transition into the state. Numerical results indicate that the model provides no difference of the limited steady state probability comparing to the results of the augmented generator matrix. Furthermore, the results show that the (r, S) policy provides more efficiency than the (r, K) policy as (K > r) on the probability of lost sale (P0) whereas the (r, S) policy provides a larger on-hand inventory than the (r, K) policy as (K > r).
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随机需求、交货期和寿命下的易腐库存损失排队模型
本文提出了一种易腐库存损失持续盘点系统。我们考虑一个单一的需求类型和一个单一的单位来放置和消耗需求。需求、提前期和寿命是指数分布的随机变量。我们开发的库存系统作为一个马尔可夫过程与不耐烦的客户。我们将模型表述为给定(r, S)和(r, K)策略的M/M/∞排队模型。系统的状态是一组库存,并在状态n处得到有限稳态概率。有限稳态概率方法基于一个基本规则,即系统的出态速率等于系统的入态速率。数值结果表明,该模型提供的有限稳态概率与增广发电机矩阵的结果没有差异。此外,结果表明,(r, S)策略在(K > r)条件下比(r, K)策略对损失销售概率(P0)提供更高的效率,而(r, S)策略在(K > r)条件下比(r, K)策略提供更大的库存。
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来源期刊
Modeling Identification and Control
Modeling Identification and Control 工程技术-计算机:控制论
CiteScore
3.30
自引率
0.00%
发文量
6
审稿时长
>12 weeks
期刊介绍: The aim of MIC is to present Nordic research activities in the field of modeling, identification and control to the international scientific community. Historically, the articles published in MIC presented the results of research carried out in Norway, or sponsored primarily by a Norwegian institution. Since 2009 the journal also accepts papers from the other Nordic countries.
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