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The supplier experiences operational (<jats:italic>on<\/jats:italic>) and disrupted (<jats:italic>off<\/jats:italic>) periods with exponentially distributed durations. The firm adopts an order-up-to level policy during the <jats:italic>on<\/jats:italic> period and additionally can release an emergency order based on the inventory level just before disruption. This inventory policy is described by a continuous-time Markov chain model. We analyze the model for two different lead time scenarios and suggest solution approaches yielding the optimal policy parameters. In a numerical study, we explore the value of exercising such a policy and show that an emergency ordering opportunity at the disruption time brings substantial cost savings in cases with high lost sales cost, long <jats:italic>off<\/jats:italic> period, and low percentage of supplier\u2019s availability.<\/jats:p>","DOI":"10.1007\/s00291-021-00636-x","type":"journal-article","created":{"date-parts":[[2021,6,4]],"date-time":"2021-06-04T06:03:46Z","timestamp":1622786626000},"page":"1007-1045","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Analysis of an inventory system with emergency ordering option at the time of supply disruption"],"prefix":"10.1007","volume":"43","author":[{"given":"Saeed","family":"Poormoaied","sequence":"first","affiliation":[]},{"given":"Ece Zeliha","family":"Demirci","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,6,4]]},"reference":[{"key":"636_CR1","unstructured":"Agrawal S, Jamwal A, Gupta S (2020) Effect of Covid-19 on the Indian economy and supply chain. 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