{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T21:38:34Z","timestamp":1773092314715,"version":"3.50.1"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T00:00:00Z","timestamp":1594339200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T00:00:00Z","timestamp":1594339200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Intell Manuf"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1007\/s10845-020-01616-8","type":"journal-article","created":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T18:03:46Z","timestamp":1594404226000},"page":"1361-1375","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Optimization in solving inventory control problem using nature inspired Emperor Penguins Colony algorithm"],"prefix":"10.1007","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6788-8222","authenticated-orcid":false,"given":"Sasan","family":"Harifi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Madjid","family":"Khalilian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javad","family":"Mohammadzadeh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sadoullah","family":"Ebrahimnejad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,7,10]]},"reference":[{"key":"1616_CR1","doi-asserted-by":"crossref","unstructured":"Ahmadi, E., Masel, D. T., Hostetler, S., Maihami, R., & Ghalehkhondabi, I. (2019). A centralized stochastic inventory control model for perishable products considering age-dependent purchase price and lead time. TOP, 28, 231\u2013269.","DOI":"10.1007\/s11750-019-00533-1"},{"key":"1616_CR2","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.procs.2018.10.295","volume":"140","author":"E Ahmadi","year":"2018","unstructured":"Ahmadi, E., S\u00fcer, G. A., & Al-Ogaili, F. (2018). Solving stochastic shortest distance path problem by using genetic algorithms. Procedia Computer Science, 140, 79\u201386.","journal-title":"Procedia Computer Science"},{"issue":"6","key":"1616_CR3","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1080\/00207721.2013.809614","volume":"46","author":"M Alaghebandha","year":"2015","unstructured":"Alaghebandha, M., & Hajipour, V. (2015). A soft computing-based approach to optimise queuing-inventory control problem. International Journal of Systems Science, 46(6), 1113\u20131130.","journal-title":"International Journal of Systems Science"},{"key":"1616_CR4","doi-asserted-by":"crossref","unstructured":"Bhunia, A. K., Sahoo, L., & Shaikh, A. A. (2019). Inventory control theory. In Advanced optimization and operations research (pp. 521\u2013579). Springer, Singapore.","DOI":"10.1007\/978-981-32-9967-2_17"},{"issue":"1","key":"1616_CR5","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.swevo.2011.02.002","volume":"1","author":"J Derrac","year":"2011","unstructured":"Derrac, J., Garc\u00eda, S., Molina, D., & Herrera, F. (2011). A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm and Evolutionary Computation, 1(1), 3\u201318.","journal-title":"Swarm and Evolutionary Computation"},{"issue":"4","key":"1616_CR6","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1109\/CI-M.2006.248054","volume":"1","author":"M Dorigo","year":"2006","unstructured":"Dorigo, M., Birattari, M., & Stutzle, T. (2006). Ant colony optimization. IEEE Computational Intelligence Magazine, 1(4), 28\u201339.","journal-title":"IEEE Computational Intelligence Magazine"},{"issue":"2","key":"1616_CR7","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1177\/003754970107600201","volume":"76","author":"ZW Geem","year":"2001","unstructured":"Geem, Z. W., Kim, J. H., & Loganathan, G. V. (2001). A new heuristic optimization algorithm: Harmony search. Simulation, 76(2), 60\u201368.","journal-title":"Simulation"},{"issue":"2","key":"1616_CR8","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s12065-019-00212-x","volume":"12","author":"S Harifi","year":"2019","unstructured":"Harifi, S., Khalilian, M., Mohammadzadeh, J., & Ebrahimnejad, S. (2019). Emperor Penguins Colony: A new metaheuristic algorithm for optimization. Evolutionary Intelligence, 12(2), 211\u2013226.","journal-title":"Evolutionary Intelligence"},{"issue":"6","key":"1616_CR9","doi-asserted-by":"publisher","first-page":"1110","DOI":"10.1109\/TFUZZ.2020.2984201","volume":"28","author":"S Harifi","year":"2020","unstructured":"Harifi, S., Khalilian, M., Mohammadzadeh, J., & Ebrahimnejad, S. (2020). Optimizing a neuro-fuzzy system based on nature inspired Emperor Penguins Colony optimization algorithm. IEEE Transactions on Fuzzy Systems, 28(6), 1110\u20131124.","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"3","key":"1616_CR10","doi-asserted-by":"publisher","first-page":"233","DOI":"10.2478\/ttj-2018-0020","volume":"19","author":"I Jackson","year":"2018","unstructured":"Jackson, I., Tolujevs, J., & Reggelin, T. (2018). The combination of discrete-event simulation and genetic algorithm for solving the stochastic multi-product inventory optimization problem. Transport and Telecommunication Journal, 19(3), 233\u2013243.","journal-title":"Transport and Telecommunication Journal"},{"issue":"6","key":"1616_CR11","doi-asserted-by":"publisher","first-page":"2327","DOI":"10.1007\/s10845-018-1393-z","volume":"30","author":"H Jahangir","year":"2019","unstructured":"Jahangir, H., Mohammadi, M., Pasandideh, S. H. R., & Nobari, N. Z. (2019). Comparing performance of genetic and discrete invasive weed optimization algorithms for solving the inventory routing problem with an incremental delivery. Journal of Intelligent Manufacturing, 30(6), 2327\u20132353.","journal-title":"Journal of Intelligent Manufacturing"},{"key":"1616_CR12","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/j.cie.2016.11.013","volume":"103","author":"MA Kaasgari","year":"2017","unstructured":"Kaasgari, M. A., Imani, D. M., & Mahmoodjanloo, M. (2017). Optimizing a vendor managed inventory (VMI) supply chain for perishable products by considering discount: Two calibrated meta-heuristic algorithms. Computers & Industrial Engineering, 103, 227\u2013241.","journal-title":"Computers & Industrial Engineering"},{"issue":"3","key":"1616_CR13","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1007\/s10898-007-9149-x","volume":"39","author":"D Karaboga","year":"2007","unstructured":"Karaboga, D., & Basturk, B. (2007). A powerful and efficient algorithm for numerical function optimization: Artificial bee colony (ABC) algorithm. Journal of Global Optimization, 39(3), 459\u2013471.","journal-title":"Journal of Global Optimization"},{"key":"1616_CR14","doi-asserted-by":"crossref","unstructured":"Kennedy, J., & Eberhart, R. (1995, November). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks (Vol. 4, pp. 1942\u20131948). IEEE.","DOI":"10.1109\/ICNN.1995.488968"},{"key":"1616_CR15","doi-asserted-by":"crossref","unstructured":"Kumar, P., Herbert, M., & Rao, S. (2017). Population based metaheuristic algorithm approach for analysis of multi-item multi-period procurement lot sizing problem. Advances in Operations Research, 2017, 1\u201318.","DOI":"10.1155\/2017\/3601217"},{"key":"1616_CR16","unstructured":"Lee, S., Dekker, I. R., & Colak, A. E. (2019). Memetic algorithm for stochastic inventory optimization with seasonal demand. Master Thesis, Erasmus University Rotterdam. https:\/\/thesis.eur.nl\/pub\/45947\/384055-Lee.pdf. [Online]"},{"issue":"9","key":"1616_CR17","doi-asserted-by":"publisher","first-page":"4341","DOI":"10.1016\/j.apm.2011.03.007","volume":"35","author":"S Mandal","year":"2011","unstructured":"Mandal, S., Maity, A. K., Maity, K., Mondal, S., & Maiti, M. (2011). Multi-item multi-period optimal production problem with variable preparation time in fuzzy stochastic environment. Applied Mathematical Modelling, 35(9), 4341\u20134353.","journal-title":"Applied Mathematical Modelling"},{"issue":"4","key":"1616_CR18","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1016\/j.ecoinf.2006.07.003","volume":"1","author":"AR Mehrabian","year":"2006","unstructured":"Mehrabian, A. R., & Lucas, C. (2006). A novel numerical optimization algorithm inspired from weed colonization. Ecological informatics, 1(4), 355\u2013366.","journal-title":"Ecological informatics"},{"key":"1616_CR19","volume-title":"Introduction to probability and statistics","author":"W Mendenhall","year":"2012","unstructured":"Mendenhall, W., Beaver, R. J., & Beaver, B. M. (2012). Introduction to probability and statistics. Boston: Cengage Learning."},{"issue":"1","key":"1616_CR20","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/s10845-014-0970-z","volume":"28","author":"SM Mousavi","year":"2017","unstructured":"Mousavi, S. M., Bahreininejad, A., Musa, S. N., & Yusof, F. (2017). A modified particle swarm optimization for solving the integrated location and inventory control problems in a two-echelon supply chain network. Journal of Intelligent Manufacturing, 28(1), 191\u2013206.","journal-title":"Journal of Intelligent Manufacturing"},{"issue":"9\u201312","key":"1616_CR21","doi-asserted-by":"publisher","first-page":"1739","DOI":"10.1007\/s00170-013-5378-y","volume":"70","author":"SM Mousavi","year":"2014","unstructured":"Mousavi, S. M., Hajipour, V., Niaki, S. T. A., & Aalikar, N. (2014a). A multi-product multi-period inventory control problem under inflation and discount: A parameter-tuned particle swarm optimization algorithm. The International Journal of Advanced Manufacturing Technology, 70(9\u201312), 1739\u20131756.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"issue":"4","key":"1616_CR22","doi-asserted-by":"publisher","first-page":"2241","DOI":"10.1016\/j.apm.2012.05.019","volume":"37","author":"SM Mousavi","year":"2013","unstructured":"Mousavi, S. M., Hajipour, V., Niaki, S. T. A., & Alikar, N. (2013). Optimizing multi-item multi-period inventory control system with discounted cash flow and inflation: Two calibrated meta-heuristic algorithms. Applied Mathematical Modelling, 37(4), 2241\u20132256.","journal-title":"Applied Mathematical Modelling"},{"key":"1616_CR23","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.ins.2014.02.046","volume":"276","author":"SM Mousavi","year":"2014","unstructured":"Mousavi, S. M., Sadeghi, J., Niaki, S. T. A., Alikar, N., Bahreininejad, A., & Metselaar, H. S. C. (2014b). Two parameter-tuned meta-heuristics for a discounted inventory control problem in a fuzzy environment. Information Sciences, 276, 42\u201362.","journal-title":"Information Sciences"},{"key":"1616_CR24","doi-asserted-by":"crossref","unstructured":"Ole\u0161ovsk\u00fd, V. (2016). Advanced methods of mathematical modelling and their use in the inventory management model. Journal of Eastern Europe Research in Business & Economics, 2016, 1\u201318.","DOI":"10.5171\/2016.296189"},{"key":"1616_CR25","doi-asserted-by":"crossref","unstructured":"\u00d6nal, M., & Albey, E. (2020). Economic lot sizing problem with inventory dependent demand. Optimization Letters, 1\u201320.","DOI":"10.1007\/s11590-020-01532-z"},{"issue":"5\u20138","key":"1616_CR26","doi-asserted-by":"publisher","first-page":"1671","DOI":"10.1007\/s00170-013-5130-7","volume":"69","author":"SHR Pasandideh","year":"2013","unstructured":"Pasandideh, S. H. R., Niaki, S. T. A., & Mousavi, S. M. (2013). Two metaheuristics to solve a multi-item multiperiod inventory control problem under storage constraint and discounts. The International Journal of Advanced Manufacturing Technology, 69(5\u20138), 1671\u20131684.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"key":"1616_CR27","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1016\/j.ijpe.2017.10.011","volume":"195","author":"M Rahdar","year":"2018","unstructured":"Rahdar, M., Wang, L., & Hu, G. (2018). A tri-level optimization model for inventory control with uncertain demand and lead time. International Journal of Production Economics, 195, 96\u2013105.","journal-title":"International Journal of Production Economics"},{"key":"1616_CR28","unstructured":"Reynolds, R. G. (1994). An introduction to cultural algorithms. In Proceedings of the third annual conference on evolutionary programming (pp. 131\u2013139). River Edge, NJ: World Scientific."},{"key":"1616_CR29","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.knosys.2013.06.006","volume":"50","author":"J Sadeghi","year":"2013","unstructured":"Sadeghi, J., Mousavi, S. M., Niaki, S. T. A., & Sadeghi, S. (2013). Optimizing a multi-vendor multi-retailer vendor managed inventory problem: Two tuned meta-heuristic algorithms. Knowledge-Based Systems, 50, 159\u2013170.","journal-title":"Knowledge-Based Systems"},{"issue":"18","key":"1616_CR30","doi-asserted-by":"publisher","first-page":"8189","DOI":"10.1016\/j.eswa.2014.07.003","volume":"41","author":"I Saracoglu","year":"2014","unstructured":"Saracoglu, I., Topaloglu, S., & Keskinturk, T. (2014). A genetic algorithm approach for multi-product multi-period continuous review inventory models. Expert Systems with Applications, 41(18), 8189\u20138202.","journal-title":"Expert Systems with Applications"},{"key":"1616_CR31","doi-asserted-by":"crossref","unstructured":"Shenoy, D., & Rosas, R. (2018). Inventory control systems: Design factors. In Problems & solutions in inventory management (pp. 13\u201332). Springer, Cham.","DOI":"10.1007\/978-3-319-65696-0_2"},{"key":"1616_CR32","doi-asserted-by":"crossref","unstructured":"Shenoy, D., & Rosas, R. (2018). Selective inventory control models. In Problems & solutions in inventory management (pp. 211\u2013229). Springer, Cham.","DOI":"10.1007\/978-3-319-65696-0_8"},{"issue":"6","key":"1616_CR33","doi-asserted-by":"publisher","first-page":"702","DOI":"10.1109\/TEVC.2008.919004","volume":"12","author":"D Simon","year":"2008","unstructured":"Simon, D. (2008). Biogeography-based optimization. IEEE transactions on evolutionary computation, 12(6), 702\u2013713.","journal-title":"IEEE transactions on evolutionary computation"},{"key":"1616_CR34","doi-asserted-by":"crossref","unstructured":"Sivanandam, S. N., & Deepa, S. N. (2008). Genetic algorithms. In Introduction to genetic algorithms (pp. 15\u201337). Springer, Berlin, Heidelberg.","DOI":"10.1007\/978-3-540-73190-0_2"},{"issue":"4","key":"1616_CR35","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn, R., & Price, K. (1997). Differential evolution\u2013a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4), 341\u2013359.","journal-title":"Journal of Global Optimization"},{"issue":"10","key":"1616_CR36","doi-asserted-by":"publisher","first-page":"1187","DOI":"10.1080\/00207720903171761","volume":"41","author":"AA Taleizadeh","year":"2010","unstructured":"Taleizadeh, A. A., Niaki, S. T. A., & Aryanezhad, M. B. (2010). Optimising multi-product multi-chance-constraint inventory control system with stochastic period lengths and total discount under fuzzy purchasing price and holding costs. International Journal of Systems Science, 41(10), 1187\u20131200.","journal-title":"International Journal of Systems Science"},{"issue":"1\u20134","key":"1616_CR37","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/s00170-010-2604-8","volume":"51","author":"AA Taleizadeh","year":"2010","unstructured":"Taleizadeh, A. A., Niaki, S. T. A., Aryanezhad, M. B., & Tafti, A. F. (2010). A genetic algorithm to optimize multiproduct multiconstraint inventory control systems with stochastic replenishment intervals and discount. The International Journal of Advanced Manufacturing Technology, 51(1\u20134), 311\u2013323.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"key":"1616_CR38","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.cie.2017.04.041","volume":"109","author":"B Vahdani","year":"2017","unstructured":"Vahdani, B., Soltani, M., Yazdani, M., & Mousavi, S. M. (2017). A three level joint location-inventory problem with correlated demand, shortages and periodic review system: Robust meta-heuristics. Computers & Industrial Engineering, 109, 113\u2013129.","journal-title":"Computers & Industrial Engineering"},{"key":"1616_CR39","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1016\/j.asoc.2018.05.037","volume":"70","author":"S Vaziri","year":"2018","unstructured":"Vaziri, S., Zaretalab, A., Esmaeili, M., & Niaki, S. T. A. (2018). An integrated production and procurement design for a multi-period multi-product manufacturing system with machine assignment and warehouse constraint. Applied Soft Computing, 70, 238\u2013262.","journal-title":"Applied Soft Computing"},{"issue":"3","key":"1616_CR40","doi-asserted-by":"publisher","first-page":"3081","DOI":"10.1016\/j.eswa.2011.08.171","volume":"39","author":"W Yang","year":"2012","unstructured":"Yang, W., Chan, F. T., & Kumar, V. (2012). Optimizing replenishment polices using genetic algorithm for single-warehouse multi-retailer system. Expert Systems with Applications, 39(3), 3081\u20133086.","journal-title":"Expert Systems with Applications"},{"issue":"1","key":"1616_CR41","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1504\/IJOR.2019.102068","volume":"36","author":"M Zandieh","year":"2019","unstructured":"Zandieh, M., & Mohaddesi, S. O. (2019). Portfolio rebalancing under uncertainty using meta-heuristic algorithm. International Journal of Operational Research, 36(1), 12\u201339.","journal-title":"International Journal of Operational Research"},{"key":"1616_CR42","doi-asserted-by":"publisher","first-page":"54215","DOI":"10.1109\/ACCESS.2018.2870856","volume":"6","author":"W Zhao","year":"2018","unstructured":"Zhao, W., & Wang, D. (2018). Simulation-based optimization on control strategies of three-echelon inventory in hybrid supply chain with order uncertainty. IEEE Access, 6, 54215\u201354223.","journal-title":"IEEE Access"}],"container-title":["Journal of Intelligent Manufacturing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-020-01616-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10845-020-01616-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-020-01616-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:06:33Z","timestamp":1723241193000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10845-020-01616-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,10]]},"references-count":42,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["1616"],"URL":"https:\/\/doi.org\/10.1007\/s10845-020-01616-8","relation":{},"ISSN":["0956-5515","1572-8145"],"issn-type":[{"value":"0956-5515","type":"print"},{"value":"1572-8145","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,10]]},"assertion":[{"value":"7 January 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 June 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 July 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}