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We show that optimal production levels are monotonically increasing in the length of horizon, leading to solution convergence and a rolling horizon procedure for delivering an infinite horizon optimal production plan. The minimum forecast horizon formula is employed to illustrate how cost parameters affect how far one must look into the future to make an infinite horizon optimal decision today. <\/jats:p>","DOI":"10.1287\/msom.1080.0218","type":"journal-article","created":{"date-parts":[[2008,6,5]],"date-time":"2008-06-05T01:05:46Z","timestamp":1212627946000},"page":"362-368","source":"Crossref","is-referenced-by-count":18,"title":["Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs"],"prefix":"10.1287","volume":"11","author":[{"given":"Archis","family":"Ghate","sequence":"first","affiliation":[{"name":"Industrial Engineering, University of Washington, Seattle, Washington 98195"}]},{"given":"Robert L.","family":"Smith","sequence":"additional","affiliation":[{"name":"Industrial and Operations Engineering, University of Michigan, Ann Arbor, Michigan 48109"}]}],"member":"109","reference":[{"key":"B1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.9.3.391"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581244"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1002\/1520-6750(198712)34:6<761::AID-NAV3220340602>3.0.CO;2-X"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1287\/moor.13.2.295"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.21.3.251"},{"key":"B6","first-page":"11","volume":"33","author":"Chand S.","year":"1986","journal-title":"Naval Res. 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