{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T20:36:44Z","timestamp":1772138204364,"version":"3.50.1"},"reference-count":61,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2022,6]]},"abstract":"<jats:p> This paper investigates an [Formula: see text] continuous-review perishable inventory model with a stock-dependent Poisson demand process, full backordering (with an extension for lost sales) and uncertainty in lead time and shelf life. Four types of costs are considered: a fixed cost of an order and each outdated item; age-dependent costs of an item (i.e., holding and salvage costs), given by a function of its remaining shelf life; and a delay cost of a backlogged demand unit, which is a function of its delay duration. <\/jats:p><jats:p> Applying the supplementary variable technique, we obtain the joint probability-density function of the number of items in the system and the remaining time and thereby obtain the optimal parameters minimizing the long-run average total cost. Numerical experiments show that supply chain profits are enhanced by integrating the age components into replenishment decisions, and ignoring the shelf age- and delay-dependent costs may result in a substantial loss (up to 25%). It further appeared that estimating the lead-time distribution by an exponential one is significantly more costly, in particular as the c.v. differs from 1. In contrast, an exponential shelf life may provide a good heuristic for other shelf-life distributions. <\/jats:p>","DOI":"10.1142\/s0217595921500354","type":"journal-article","created":{"date-parts":[[2021,7,9]],"date-time":"2021-07-09T05:45:20Z","timestamp":1625809520000},"source":"Crossref","is-referenced-by-count":13,"title":["A Replenishment Inventory Model with a Stock-Dependent Demand and Age\u2013Stock-Dependent Cost Functions in a Random Environment"],"prefix":"10.1142","volume":"39","author":[{"given":"Yonit","family":"Barron","sequence":"first","affiliation":[{"name":"Department of Industrial Engineering and Management, Ariel University, Ariel 40700, Israel"}]}],"member":"219","published-online":{"date-parts":[[2021,8,20]]},"reference":[{"issue":"1","key":"S0217595921500354BIB001","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/s11134-015-9461-y","volume":"82","author":"Abouee-Mehrizi H","year":"2016","journal-title":"Queueing Systems"},{"key":"S0217595921500354BIB002","first-page":"1","volume":"71","author":"Agi MA","year":"2019","journal-title":"Journal of the Operational Research Society"},{"issue":"2","key":"S0217595921500354BIB003","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1017\/S0269964800142068","volume":"14","author":"Alfa AS","year":"2000","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"S0217595921500354BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s13369-018-3593-4"},{"key":"S0217595921500354BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2018.11.004"},{"key":"S0217595921500354BIB006","first-page":"1","volume":"34","author":"Baron O","year":"2017","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"S0217595921500354BIB007","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.orl.2017.11.005","volume":"46","author":"Barron Y","year":"2018","journal-title":"Operations Research Letters"},{"issue":"1","key":"S0217595921500354BIB008","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s10479-019-03302-2","volume":"280","author":"Barron Y","year":"2019","journal-title":"Annals of Operations Research"},{"issue":"2","key":"S0217595921500354BIB009","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1080\/24725854.2019.1614697","volume":"52","author":"Barron Y","year":"2020","journal-title":"IISE Transactions"},{"issue":"3","key":"S0217595921500354BIB010","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/s00186-020-00717-7","volume":"92","author":"Barron Y","year":"2020","journal-title":"Mathematical Methods of Operations Research"},{"key":"S0217595921500354BIB011","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1110.1033"},{"key":"S0217595921500354BIB012","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10479-018-2822-2","volume":"271","author":"Chaouch BA","year":"2018","journal-title":"Annals of Operations Research"},{"key":"S0217595921500354BIB013","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1287\/opre.2014.1261","volume":"62","author":"Chen X","year":"2014","journal-title":"Operations Research"},{"issue":"1","key":"S0217595921500354BIB015","first-page":"86","volume":"40","author":"Choi BD","year":"1998","journal-title":"The ANZIAM Journal"},{"issue":"3","key":"S0217595921500354BIB016","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1287\/opre.49.3.455.11216","volume":"49","author":"Cooper WL","year":"2001","journal-title":"Operations Research"},{"issue":"1","key":"S0217595921500354BIB017","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.ejor.2016.06.073","volume":"257","author":"Dobson G","year":"2017","journal-title":"European Journal of Operational Research"},{"key":"S0217595921500354BIB018","doi-asserted-by":"crossref","first-page":"5015","DOI":"10.1016\/j.apm.2011.12.039","volume":"36","author":"Duan Y","year":"2012","journal-title":"Applied Mathematical Modelling"},{"issue":"3","key":"S0217595921500354BIB019","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1287\/opre.2015.1369","volume":"63","author":"Federgruen A","year":"2015","journal-title":"Operations Research"},{"key":"S0217595921500354BIB020","doi-asserted-by":"publisher","DOI":"10.1287\/msom.1070.0191"},{"issue":"8","key":"S0217595921500354BIB021","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1080\/07408170701730792","volume":"40","author":"G\u00fcrler \u00dc","year":"2008","journal-title":"IIE Transactions"},{"key":"S0217595921500354BIB022","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/j.ijpe.2015.10.013","volume":"181","author":"Haijema R","year":"2016","journal-title":"International Journal of Production Economics"},{"key":"S0217595921500354BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2018.03.008"},{"issue":"4","key":"S0217595921500354BIB024","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1287\/moor.2016.0833","volume":"42","author":"He S","year":"2017","journal-title":"Mathematics of Operations Research"},{"key":"S0217595921500354BIB025","first-page":"92","volume":"12","author":"Henderson W","year":"1972","journal-title":"Journal of the Operations Research Society of Japan"},{"key":"S0217595921500354BIB026","first-page":"95","volume":"2","author":"Hokstad P","year":"1975","journal-title":"Scandinavian Journal of Statistics"},{"key":"S0217595921500354BIB027","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.46.8.1159.12021"},{"issue":"4","key":"S0217595921500354BIB028","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1287\/opre.1110.0933","volume":"59","author":"Huh WT","year":"2011","journal-title":"Operations Research"},{"issue":"5","key":"S0217595921500354BIB029","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1287\/opre.1040.0130","volume":"52","author":"Janakiraman G","year":"2004","journal-title":"Operations Research"},{"key":"S0217595921500354BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.05.028"},{"key":"S0217595921500354BIB031","doi-asserted-by":"publisher","DOI":"10.1007\/s13198-015-0378-y"},{"key":"S0217595921500354BIB032","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0167-6377(94)90066-3","volume":"16","author":"Kalpakam S","year":"1994","journal-title":"Operations Research Letters"},{"key":"S0217595921500354BIB033","doi-asserted-by":"publisher","DOI":"10.1080\/15326340802232210"},{"key":"S0217595921500354BIB034","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1002\/nav.3800200211","volume":"20","author":"Klimko F","year":"1973","journal-title":"Naval Research Logistics Quarterly"},{"key":"S0217595921500354BIB035","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1287\/opre.38.3.506","volume":"38","author":"Knessl C","year":"1990","journal-title":"Operations Research"},{"issue":"1","key":"S0217595921500354BIB036","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1007\/s12597-019-00393-0","volume":"57","author":"Kocer UU","year":"2020","journal-title":"OPSEARCH"},{"key":"S0217595921500354BIB037","volume-title":"Stochastic Theory of Service Systems.","author":"Kosten L","year":"1973"},{"key":"S0217595921500354BIB038","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.ijpe.2016.01.013","volume":"181","author":"Kouki C","year":"2016","journal-title":"International Journal of Production Economics"},{"key":"S0217595921500354BIB039","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.ijpe.2018.01.021","volume":"209","author":"Kouki C","year":"2019","journal-title":"International Journal of Production Economics"},{"key":"S0217595921500354BIB040","doi-asserted-by":"crossref","first-page":"901","DOI":"10.1016\/j.ejor.2020.05.024","volume":"287","author":"Kouki C","year":"2020","journal-title":"European Journal of Operational Research"},{"issue":"1","key":"S0217595921500354BIB041","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/s10479-015-1849-x","volume":"247","author":"Krishnamoorthy A","year":"2016","journal-title":"Annals of Operations Research"},{"issue":"2","key":"S0217595921500354BIB042","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/s13226-016-0192-5","volume":"47","author":"Krishnamoorthy A","year":"2016","journal-title":"Indian Journal of Pure Applied Mathematics"},{"key":"S0217595921500354BIB043","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1239\/aap\/1035228208","volume":"30","author":"Li W","year":"1998","journal-title":"Advances in Applied Probability"},{"key":"S0217595921500354BIB044","doi-asserted-by":"publisher","DOI":"10.1007\/s00186-017-0606-0"},{"issue":"3","key":"S0217595921500354BIB045","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1287\/moor.1040.0133","volume":"30","author":"Lian Z","year":"2005","journal-title":"Mathematics of Operations Research"},{"key":"S0217595921500354BIB046","doi-asserted-by":"publisher","DOI":"10.1111\/poms.12806"},{"issue":"1","key":"S0217595921500354BIB047","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1057\/palgrave.jors.2600844","volume":"51","author":"Melchiors P","year":"2000","journal-title":"Journal of the Operational Research Society"},{"key":"S0217595921500354BIB048","doi-asserted-by":"crossref","first-page":"3273","DOI":"10.1016\/j.apm.2010.02.019","volume":"34","author":"Min J","year":"2010","journal-title":"Applied Mathematical Modelling"},{"key":"S0217595921500354BIB049","doi-asserted-by":"crossref","first-page":"590","DOI":"10.2307\/3213121","volume":"15","author":"Minh DL","year":"1978","journal-title":"Journal of Applied Probability"},{"key":"S0217595921500354BIB050","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1017\/S0269964804182053","volume":"18","author":"Nahmias S","year":"2004","journal-title":"Probability in the Engineering and Information Sciences"},{"issue":"1","key":"S0217595921500354BIB051","first-page":"63","volume":"8","author":"Niwas R","year":"2015","journal-title":"Journal of Reliability and Statistical Studies"},{"key":"S0217595921500354BIB052","volume-title":"Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach.","author":"Neuts NF","year":"1981"},{"issue":"1","key":"S0217595921500354BIB053","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s11134-017-9536-z","volume":"87","author":"Oz B","year":"2017","journal-title":"Queueing Systems"},{"issue":"2","key":"S0217595921500354BIB054","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1111\/poms.12795","volume":"27","author":"Perera S","year":"2018","journal-title":"Production and Operations Management"},{"issue":"6","key":"S0217595921500354BIB055","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1287\/opre.50.6.1007.346","volume":"50","author":"Rosling K","year":"2002","journal-title":"Operations Research"},{"issue":"2","key":"S0217595921500354BIB056","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/s12597-019-00372-5","volume":"56","author":"Saranya N","year":"2019","journal-title":"OPSEARCH"},{"key":"S0217595921500354BIB057","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2014.09.016"},{"key":"S0217595921500354BIB058","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/S0377-2217(00)00250-2","volume":"134","author":"Tekin E","year":"2001","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"S0217595921500354BIB059","doi-asserted-by":"crossref","first-page":"792","DOI":"10.1016\/j.ejor.2003.08.065","volume":"162","author":"Urban TL","year":"2005","journal-title":"European Journal of Operational Research"},{"issue":"9","key":"S0217595921500354BIB061","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1111\/poms.12713","volume":"26","author":"Xue W","year":"2017","journal-title":"Production and Operations Management"},{"key":"S0217595921500354BIB062","doi-asserted-by":"crossref","first-page":"1177","DOI":"10.2307\/1428169","volume":"28","author":"Yang T","year":"1996","journal-title":"Advances in Applied Probability"},{"issue":"3","key":"S0217595921500354BIB063","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1016\/j.ejor.2011.01.001","volume":"211","author":"Zhang J","year":"2011","journal-title":"European Journal of Operational Research"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595921500354","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,16]],"date-time":"2022-06-16T03:10:55Z","timestamp":1655349055000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0217595921500354"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,20]]},"references-count":61,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["10.1142\/S0217595921500354"],"URL":"https:\/\/doi.org\/10.1142\/s0217595921500354","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,8,20]]},"article-number":"2150035"}}