{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T07:44:05Z","timestamp":1746431045512,"version":"3.37.3"},"reference-count":17,"publisher":"Informa UK Limited","license":[{"start":{"date-parts":[[2007,8,6]],"date-time":"2007-08-06T00:00:00Z","timestamp":1186358400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100005276","name":"National Board for Higher Mathematics, India","doi-asserted-by":"crossref","award":["48\/3\/2004\/R&D- II\/2114"],"award-info":[{"award-number":["48\/3\/2004\/R&D- II\/2114"]}],"id":[{"id":"10.13039\/501100005276","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[2007,8,6]]},"abstract":"This article considers a continuous review perishable (<\/mml:mo>s<\/mml:mi>,<\/mml:mo>S<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math> inventory system in which the demands arrive according to a\nMarkovian arrival process (MAP<\/jats:italic>). The lifetime of items in the\nstock and the lead time of reorder are assumed to be independently\ndistributed as exponential. Demands that occur during the stock-out\nperiods either enter a pool which has capacity N<\/mml:mi>(<\/mml:mo><<\/mml:mo>\u221e<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math> or are lost. Any demand that takes place when the pool is full and\nthe inventory level is zero is assumed to be lost. The demands in the\npool are selected one by one, if the replenished stock is above s<\/mml:mi><\/mml:math>, with time interval between any two successive selections \ndistributed as exponential with parameter depending on the number\nof customers in the pool. The waiting demands in the pool\nindependently may renege the system after an exponentially\ndistributed amount of time. In addition to the regular demands, a\nsecond flow of negative demands following MAP<\/jats:italic> is also considered\nwhich will remove one of the demands waiting in the pool. The\njoint probability distribution of the number of customers in the\npool and the inventory level is obtained in the steady state case.\nThe measures of system performance in the steady state are\ncalculated and the total expected cost per unit time is also\nconsidered. The results are illustrated numerically.<\/jats:p>","DOI":"10.1155\/2007\/94850","type":"journal-article","created":{"date-parts":[[2007,8,7]],"date-time":"2007-08-07T08:54:17Z","timestamp":1186476857000},"page":"1-12","source":"Crossref","is-referenced-by-count":16,"title":["Perishable Inventory System with Postponed Demands and Negative Customers"],"prefix":"10.1080","volume":"2007","author":[{"given":"Paul","family":"Manuel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Sivakumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Arivarignan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1287\/opre.30.4.680","volume":"30","year":"1982","journal-title":"Operations Research"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.2307\/2582993"},{"key":"3","first-page":"221","volume":"44","year":"2000","journal-title":"Ekonomski Anali"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(00)00248-4"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2004.08.003"},{"issue":"2","key":"6","first-page":"109","volume":"20","year":"2004","journal-title":"ORiON"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(99)00131-8"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-006-7383-0"},{"issue":"5","key":"9","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1080\/07408179308964320","volume":"25","year":"1993","journal-title":"IIE Transactions"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1081\/SAP-120030459"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02578967"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.2307\/3214499"},{"year":"1999","key":"13"},{"year":"1998","key":"14"},{"issue":"2","key":"15","first-page":"1","volume":"17","year":"2006","journal-title":"International Journal of Information and Management Sciences"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00476-2"},{"year":"2000","key":"17","first-page":"xvi+693"}],"container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2007\/094850.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2007\/094850.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:23:34Z","timestamp":1723127014000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/2007\/094850\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8,6]]},"references-count":17,"alternative-id":["094850","94850"],"URL":"https:\/\/doi.org\/10.1155\/2007\/94850","relation":{},"ISSN":["1173-9126","1532-7612"],"issn-type":[{"type":"print","value":"1173-9126"},{"type":"electronic","value":"1532-7612"}],"subject":[],"published":{"date-parts":[[2007,8,6]]}}}