Two-commodity perishable inventory system with partial backlog demands.

N. Anbazhagan, B. Sivakumar, S. Amutha, S. Suganya
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Abstract

This article examines a two-commodity continuous review perishable inventory system. The demands are arrived at for each product by independent Markovian arrival processes (MAP). Lifetimes follow an exponential distribution. The commodities are assumed to be substitutable. If both commodities have reached zero, demand is backlogged up to predetermined levels. This article’s novelty has been a local purchase, which is made to clear the backlog instantaneously when demand reaches a predetermined level. In the steady-state, the joint probability distribution of inventory levels of both commodities is obtained. Several metrics of system performance in steady-state are derived and also provided as numerical examples to explain the optimum values of the system’s parameters.
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具有部分积压需求的双商品易腐库存系统。
本文研究了一种双商品连续复核易腐库存系统。通过独立的马尔可夫到达过程(MAP)到达每种产品的需求。寿命遵循指数分布。假定这些商品是可替代的。如果这两种大宗商品都跌至零,需求积压就会达到预定水平。本文的新奇之处是本地购买,当需求达到预定水平时,它可以立即清除积压。在稳态下,得到了两种商品库存水平的联合概率分布。导出了系统稳态性能的几个指标,并提供了数值例子来解释系统参数的最优值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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