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Thus, the information about the system is updated periodically in increments of size [Formula: see text]. It is known that these updates can cause oscillations in the resulting dynamics. However, it is an open problem to explicitly characterize the size of these oscillations when they occur. In this paper, we solve this open problem and show how to exactly calculate the amplitude of these oscillations via a fixed point equation. We also calculate closed form approximations via Taylor expansions of the fixed point equation and show that these approximations are very accurate, especially when [Formula: see text] is large. Our analysis provides new insight for systems that use updates as a way of disseminating information to customers. <\/jats:p>","DOI":"10.1142\/s0218127422300063","type":"journal-article","created":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T10:34:30Z","timestamp":1646994870000},"source":"Crossref","is-referenced-by-count":1,"title":["Queues with Updating Information: Finding the Amplitude of Oscillations"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9039-7966","authenticated-orcid":false,"given":"Philip","family":"Doldo","sequence":"first","affiliation":[{"name":"Center for Applied Mathematics, Cornell University, 657 Rhodes Hall, Ithaca, NY 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamol","family":"Pender","sequence":"additional","affiliation":[{"name":"School of Operations Research and Information Engineering, Center for Applied Mathematics, Cornell University, 228 Rhodes Hall, Ithaca, NY 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,3,10]]},"reference":[{"key":"S0218127422300063BIB001","first-page":"183","volume":"24","author":"Aftabizadeh A.","year":"1987","journal-title":"Appl. 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