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This paper attempts to identify critical variables for making a cloud capacity decision from a corporate customer\u2019s perspective and develops a base mathematical model to aid in a hybrid cloud investment decision under probabilistic computing demands. The identification of the critical variables provides a means by which a corporate customer can effectively evaluate various cloud capacity investment opportunities. Critical variables included in this model are an actual computing demand, the amount of private cloud capacity purchased, the purchase cost of the private cloud capacity, the price of the public cloud, and the default downtime loss\/penalty cost. Extending the base model developed, this paper also takes into consideration the interoperability cost incurred in cloud bursting to the public cloud and derives the optimal investment. The interoperable cloud systems require time and investment by the users and\/or cloud providers and there exists a diminishing return on the investment. Hence, the relationship between the interoperable cloud investment and return on investment is also investigated.<\/jats:p>","DOI":"10.1186\/s13677-019-0140-0","type":"journal-article","created":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T10:24:26Z","timestamp":1572603866000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["An optimization approach to capacity evaluation and investment decision of hybrid cloud: a corporate customer\u2019s perspective"],"prefix":"10.1186","volume":"8","author":[{"given":"In","family":"Lee","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,1]]},"reference":[{"issue":"Part 3","key":"140_CR1","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1016\/j.future.2017.09.020","volume":"79","author":"B Varghese","year":"2018","unstructured":"Varghese B, Buyya R (2018) Next generation cloud computing: new trends and research directions. 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