{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:27:28Z","timestamp":1754155648777,"version":"3.41.2"},"reference-count":33,"publisher":"Emerald","issue":"8","license":[{"start":{"date-parts":[[2023,6,19]],"date-time":"2023-06-19T00:00:00Z","timestamp":1687132800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IMDS"],"published-print":{"date-parts":[[2023,8,4]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title><jats:p>The increasing popularity of ERP solutions has provided dietary supplement manufacturing companies with modules to manage pricing and inventory. However, the decisions made by these modules are often independent and rely on deterministic forecasts. This paper studies a multi-product dietary supplement manufacturing system under stochastic demands. The purpose is to maximize the long-run expected profit by jointly considering pricing and inventory strategies.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title><jats:p>The authors investigate both the general cases and three special cases including stable demand, negligible backlog and instantaneous replenishment. A two-stage algorithm named PAS is proposed. In the strategy construction stage, the constructed objective bounds are combined to provide estimates which then help to derive the optimal product prices. In the system operation stage, replenishment decisions are further made based on the prices generated from the previous stage.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Findings<\/jats:title><jats:p>It is proved that base-stock policy is optimal for the studied system, and the optimal based-stock level is provided. The global optimal strategies are obtained for three important special cases. For the general case, theoretical objective bounds are established. These bounds provide quick and reliable performance estimates for practical applications.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title><jats:p>Very few studies have jointly considered pricing and inventory strategies with uncertainty demands in the dietary supplement industry. The PAS algorithm developed integrates these decisions and consistently generates high-quality solutions even under highly varying demands. Such algorithm could be a valuable add-on to the pricing and inventory management modules in ERP systems.<\/jats:p><\/jats:sec>","DOI":"10.1108\/imds-11-2022-0723","type":"journal-article","created":{"date-parts":[[2023,6,16]],"date-time":"2023-06-16T06:58:52Z","timestamp":1686898732000},"page":"2013-2037","source":"Crossref","is-referenced-by-count":4,"title":["Optimizing pricing and inventory strategies for dietary supplement production under stochastic demand"],"prefix":"10.1108","volume":"123","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2971-2509","authenticated-orcid":false,"given":"Yaping","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8060-3703","authenticated-orcid":false,"given":"Hao","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingyue","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1783-0006","authenticated-orcid":false,"given":"Xiaoyun","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","published-online":{"date-parts":[[2023,6,19]]},"reference":[{"issue":"3","key":"key2023080305095062800_ref001","doi-asserted-by":"crossref","first-page":"866","DOI":"10.1016\/j.ejor.2017.02.029","article-title":"Assemble-to-order systems: a\u00a0review","volume":"261","year":"2017","journal-title":"European Journal of Operational Research"},{"key":"key2023080305095062800_ref002","first-page":"475","article-title":"Does better forecasting improve inventory? Why I don't think so anymore","year":"2021","journal-title":"Forbes"},{"key":"key2023080305095062800_ref003","article-title":"Why supply chains must pivot","volume":"19","year":"2018","journal-title":"MIT Sloan Management Review"},{"doi-asserted-by":"crossref","unstructured":"Datta, S. (2017), \u201cSourcing, supply chain, and manufacturing of nutraceutical and functional foods\u201d, in Bagchi, D. and Nair, S. 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(2013), \u201cGeneralizing the ordering cost and holding-backlog cost rate functions in EOQ-type inventory models\u201d, Handbook of EOQ Inventory Problems: Stochastic and Deterministic Models and Applications, Springer, pp.\u00a079-119.","key":"key2023080305095062800_ref009","DOI":"10.1007\/978-1-4614-7639-9_5"},{"unstructured":"Grand View Research, Feb (2020), \u201cDietary supplements market size, share and trends analysis report by ingredient (vitamins, minerals), by form, by application, by end user, by distribution channel, by region, and segment forecasts, 2020-2027\u201d, Tech. rep., Grand View Research, available at: https:\/\/www.grandviewresearch.com\/industry-analysis\/dietary-supplements-market\/toc","key":"key2023080305095062800_ref010"},{"issue":"4","key":"key2023080305095062800_ref011","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1111\/j.1744-7976.2002.tb00355.x","article-title":"Evolving supply chains in the nutraceuticals and functional foods industry","volume":"50","year":"2002","journal-title":"Canadian Journal of Agricultural Economics\/Revue canadienne d\u2019agroeconomie"},{"issue":"3","key":"key2023080305095062800_ref012","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/TAC.1959.1104873","article-title":"On the general theory of control systems","volume":"4","year":"1959","journal-title":"IRE Transactions on Automatic Control"},{"issue":"4","key":"key2023080305095062800_ref013","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.orl.2006.04.004","article-title":"Cost optimization in the (S-1,S) lost sales inventory\u00a0model with multiple demand classes","volume":"35","year":"2007","journal-title":"Operations Research Letters"},{"year":"2016","first-page":"1","article-title":"Production and pricing policy of ATO manufacturer with heterogeneous customer segment and demand","key":"key2023080305095062800_ref014"},{"year":"2019","article-title":"A complete algebraic solution to the optimal dynamic rationing policy in the stock-rationing queue with two demand classes","key":"key2023080305095062800_ref015"},{"issue":"3","key":"key2023080305095062800_ref016","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s10878-023-01014-9","article-title":"A complete algebraic solution to the optimal dynamic rationing policy in the stock-rationing queue with two demand classes","volume":"45","year":"2023","journal-title":"Journal of Combinatorial Optimization"},{"volume-title":"Systems and Synthetic Biotechnology for Production of Nutraceuticals","year":"2019","key":"key2023080305095062800_ref017"},{"issue":"8","key":"key2023080305095062800_ref018","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1002\/nav.21671","article-title":"Optimal and asymptotically optimal policies for assemble-to-order N- and W-systems","volume":"62","year":"2015","journal-title":"Naval Research Logistics (NRL)"},{"unstructured":"National Institute of Health (2020), \u201cDietary supplement: background information\u201d, available at: https:\/\/ods.od.nih.gov\/factsheets\/DietarySupplements-Consumer\/","key":"key2023080305095062800_ref019"},{"doi-asserted-by":"crossref","unstructured":"Phillips, R.L. (2021), \u201cPricing and revenue optimization\u201d, Pricing and Revenue Optimization, Stanford University Press.","key":"key2023080305095062800_ref020","DOI":"10.1515\/9781503614260"},{"issue":"4","key":"key2023080305095062800_ref021","doi-asserted-by":"crossref","first-page":"921","DOI":"10.1007\/s00291-016-0432-4","article-title":"Service differentiation in a single-period inventory model with numerous customer classes","volume":"38","year":"2016","journal-title":"OR Spectrum"},{"issue":"1","key":"key2023080305095062800_ref022","first-page":"1","article-title":"Optimal control of a high-volume assemble-to-order system with maximum leadtime quotation and expediting","volume":"60","year":"2008","journal-title":"Queueing Systems"},{"issue":"3","key":"key2023080305095062800_ref023","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1287\/opre.2015.1372","article-title":"Asymptotically optimal inventory control for assemble-to-order systems with identical lead times","volume":"63","year":"2015","journal-title":"Operations Research"},{"issue":"4","key":"key2023080305095062800_ref024","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1016\/j.orl.2016.04.004","article-title":"On the use of independent base-stock policies in assemble-to-order inventory systems with nonidentical lead times","volume":"44","year":"2016","journal-title":"Operations Research Letters"},{"issue":"1","key":"key2023080305095062800_ref025","first-page":"1","article-title":"Metabolic engineering of microbial cell factories for production of nutraceuticals","volume":"18","year":"2019","journal-title":"Microbial Cell Factories"},{"issue":"6","key":"key2023080305095062800_ref026","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1002\/nav.10032","article-title":"On the (s-1,s) lost sales inventory model with priority demand classes","volume":"49","year":"2002","journal-title":"Naval Research Logistics"},{"issue":"2","key":"key2023080305095062800_ref027","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1111\/poms.13277","article-title":"Material requirements planning under demand uncertainty using stochastic optimization","volume":"30","year":"2021","journal-title":"Production and Operations Management"},{"issue":"3","key":"key2023080305095062800_ref028","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1287\/mnsc.15.3.160","article-title":"Optimal ordering and rationing policies in a nonstationary dynamic inventory model with n demand classes","volume":"15","year":"1968","journal-title":"Management Science"},{"issue":"5","key":"key2023080305095062800_ref029","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1287\/opre.13.5.761","article-title":"Optimal policy in a dynamic, single product, nonstationary inventory model with several demand classes","volume":"13","year":"1965","journal-title":"Operations Research"},{"issue":"10","key":"key2023080305095062800_ref030","doi-asserted-by":"crossref","first-page":"2351","DOI":"10.1108\/IMDS-12-2021-0807","article-title":"A branch-and-price algorithm for robust parallel batch scheduling problem with uncertain size","volume":"122","year":"2022","journal-title":"Industrial Management and Data Systems"},{"key":"key2023080305095062800_ref031","first-page":"268","article-title":"The statistical analysis of simulation results","volume":"22","year":"1983","journal-title":"The Computer Performance Modeling Handbook"},{"doi-asserted-by":"crossref","unstructured":"Wieczorek, A., Bu\u0161i\u0107, A. and Hyon, E. 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