{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T13:02:22Z","timestamp":1763643742125,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,25]],"date-time":"2023-01-25T00:00:00Z","timestamp":1674604800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Stable Supporting Project of Science &amp; Technology on Reliability &amp; Environmental Engineering Laboratory","award":["WDZC20220102","71671009","62073009"],"award-info":[{"award-number":["WDZC20220102","71671009","62073009"]}]},{"name":"National Natural Science Foundation of China","award":["WDZC20220102","71671009","62073009"],"award-info":[{"award-number":["WDZC20220102","71671009","62073009"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Scientific support depot location and reasonable spare parts transportation are the keys to improving the support level of complex systems. The current equipment support system has the problems of chaotic warehouse layout and low efficiency of spare parts. The reliability and completeness of spare parts\u2019 historical data are hard to believe. In order to deal with the cognitive uncertainty caused by the asymmetry of data, this paper adopts the uncertainty theory to optimize the depot location and transportation volume. Under the constraints of shortage rate, supply availability, average logistic delay time, and inventory limit, the uncertain chance-constrained model of equipment supporting depot is established. The optimization model is transformed into a deterministic model by using the inverse uncertainty distribution. The genetic algorithm is used to optimize the solution of this model. Finally, the practicability and operability of the model method are verified through the example analysis.<\/jats:p>","DOI":"10.3390\/sym15020338","type":"journal-article","created":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T01:57:07Z","timestamp":1674698227000},"page":"338","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["An Optimal Location-Allocation Model for Equipment Supporting System Based on Uncertainty Theory"],"prefix":"10.3390","volume":"15","author":[{"given":"Han","family":"Li","sequence":"first","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenshu","family":"Xie","sequence":"additional","affiliation":[{"name":"China Academy of Launch Vehicle Technology, Beijing 100076, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0819-2647","authenticated-orcid":false,"given":"Meilin","family":"Wen","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuyu","family":"Li","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3905-6602","authenticated-orcid":false,"given":"Yi","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6812-788X","authenticated-orcid":false,"given":"Linhan","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,25]]},"reference":[{"key":"ref_1","first-page":"2595","article-title":"Research on ABMS based wartime spares support adaptation decision","volume":"32","author":"Liu","year":"2010","journal-title":"Syst. 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