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Valuing lead-time and its variance in batch-ordering inventory policies

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  • Li, Xiaoming

Abstract

Time-based competition has attracted a lot of attention since the 1980s. Supply chain managers have tried various approaches to improve their performance by lead-time reduction: both lead-time itself and its variance. This paper explores and quantifies these benefits of such lead-time reduction for commonly used reorder-point batch-ordering inventory policies. Rather than using approximate total cost equations, we present an exact total cost equation that is built on an inherent relationship between on-hand inventory and backorder. Thus, our marginal value analysis on lead-time and its variance achieves more accurate results. Our analytical results show that the inventory cost is a strictly increasing, concave function of both lead-time and its variance. In other words, the cost savings on both lead-time and its variance reduction decrease when lead-time becomes larger. We also show that both cost savings increase linearly in the inventory holding cost rate. Our numerical examples confirm our analytical results and provide sensitivity analysis on different levels of variable demand and variable lead-time. When both demand and lead-time coefficients of variation are very small, the focus is on lead-time variance reduction. For other cases, the focus should be on lead-time reduction.

Suggested Citation

  • Li, Xiaoming, 2020. "Valuing lead-time and its variance in batch-ordering inventory policies," International Journal of Production Economics, Elsevier, vol. 228(C).
    • Handle: RePEc:eee:proeco:v:228:y:2020:i:c:s0925527320301213
    DOI: 10.1016/j.ijpe.2020.107731
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    References listed on IDEAS

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    1. Glock, C. H., 2012. "Lead time reduction strategies in a single-vendor-single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57816, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    6. Mou, Qiong & Cheng, Yunlong & Liao, Huchang, 2017. "A note on “lead time reduction strategies in a single-vendor-single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand”," International Journal of Production Economics, Elsevier, vol. 193(C), pages 827-831.
    7. Kouki, Chaaben & Jemaï, Zied & Minner, Stefan, 2015. "A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time," International Journal of Production Economics, Elsevier, vol. 168(C), pages 143-157.
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    Cited by:

    1. Ma, Weina & Hekimoğlu, Mustafa & Dekker, Rommert, 2023. "Admission control for a capacitated supply system with real-time replenishment information," International Journal of Production Economics, Elsevier, vol. 266(C).
    2. Sarkar, Biswajit & Kar, Sumi & Basu, Kajla & Seo, Yong Won, 2023. "Is the online-offline buy-online-pickup-in-store retail strategy best among other product delivery strategies under variable lead time?," Journal of Retailing and Consumer Services, Elsevier, vol. 73(C).

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