Relief inventory modelling with stochastic lead-time and demand

Rubel Das, Shinya Hanaoka

    Research output: Contribution to journalArticlepeer-review

    37 Citations (Scopus)


    The irregular demand and communication network disruption that are characteristics of situations demanding humanitarian logistics, particularly after large-scale earthquakes, present a unique challenge for relief inventory modelling. However, there are few quantitative inventory models in humanitarian logistics, and assumptions inherent in commercial logistics naturally have little applicability to humanitarian logistics. This paper develops a humanitarian disaster relief inventory model that assumes a uniformly distributed function in both lead-time and demand parameters, which is appropriate considering the limited historical data on relief operation. Furthermore, this paper presents different combinations of lead-time and demand scenarios to demonstrate the variability of the model. This is followed by the discussion of a case study wherein the decision variables are evaluated and sensitivity analysis is performed. The results reveal the presence of a unique reorder level in the inventory wherever the order quantity is insensitive to some lead-time demand values, providing valuable direction for humanitarian relief planning efforts and future research.

    Original languageEnglish
    Pages (from-to)616-623
    Number of pages8
    JournalEuropean Journal of Operational Research
    Issue number3
    Publication statusPublished - 2014 Jun 16


    • Earthquake
    • Humanitarian logistics
    • Inventory
    • Uniform distribution

    ASJC Scopus subject areas

    • Computer Science(all)
    • Modelling and Simulation
    • Management Science and Operations Research
    • Information Systems and Management


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