{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:40:02Z","timestamp":1723128002766},"reference-count":7,"publisher":"Informa UK Limited","license":[{"start":{"date-parts":[[2006,8,16]],"date-time":"2006-08-16T00:00:00Z","timestamp":1155686400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[2006,8,16]]},"abstract":"<jats:p>A gravity model for trip distribution describes the number of\ntrips between two zones, as a product of three factors, one of the\nfactors is separation or deterrence factor. The deterrence factor\nis usually a decreasing function of the generalized cost of\ntraveling between the zones, where generalized cost is usually\nsome combination of the travel, the distance traveled, and the\nactual monetary costs. If the deterrence factor is of the power\nform and if the total number of origins and destination in each\nzone is known, then the resulting trip matrix depends solely on\nparameter, which is generally estimated from data. In this paper,\nit is shown that as parameter tends to infinity, the trip matrix\ntends to a limit in which the total cost of trips is the least\npossible allowed by the given origin and destination totals. If\nthe transportation problem has many cost-minimizing solutions,\nthen it is shown that the limit is one particular solution in\nwhich each nonzero flow from an origin to a destination is a\nproduct of two strictly positive factors, one associated with the\norigin and other with the destination. A numerical example is\ngiven to illustrate the problem.<\/jats:p>","DOI":"10.1155\/jamds\/2006\/48632","type":"journal-article","created":{"date-parts":[[2006,9,13]],"date-time":"2006-09-13T08:27:32Z","timestamp":1158136052000},"page":"1-13","source":"Crossref","is-referenced-by-count":0,"title":["The constrained gravity model with power function as a cost function"],"prefix":"10.1080","volume":"2006","author":[{"given":"Bablu","family":"Samanta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sanat Kumar","family":"Mazumder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/0041-1647(67)90035-4"},{"year":"1970","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0041-1647(70)90072-9"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0041-1647(71)90004-9"},{"issue":"1","key":"5","first-page":"29","volume":"9","year":"1999","journal-title":"Yugoslav Journal of Operations Research"},{"year":"1975","key":"6"},{"year":"1964","key":"7","first-page":"xi+484"}],"container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2006\/048632.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2006\/048632.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:23:33Z","timestamp":1723127013000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/2006\/048632\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,16]]},"references-count":7,"alternative-id":["048632","48632"],"URL":"https:\/\/doi.org\/10.1155\/jamds\/2006\/48632","relation":{},"ISSN":["1173-9126","1532-7612"],"issn-type":[{"type":"print","value":"1173-9126"},{"type":"electronic","value":"1532-7612"}],"subject":[],"published":{"date-parts":[[2006,8,16]]}}}