{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:59:34Z","timestamp":1740142774784,"version":"3.37.3"},"reference-count":0,"publisher":"Informa UK Limited","issue":"1","license":[{"start":{"date-parts":[[1998,1,1]],"date-time":"1998-01-01T00:00:00Z","timestamp":883612800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCR-9505732"],"award-info":[{"award-number":["CCR-9505732"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[1998,1,1]]},"abstract":"<jats:p>In a fast changing global market, a manager is concerned with cost uncertainties\nof the cost matrix in transportation problems (TP) and assignment problems (AP).A time lag\nbetween the development and application of the model could cause cost parameters to assume\ndifferent values when an optimal assignment is implemented.\n The manager might wish to determine the responsiveness of the current optimal solution to such uncertainties.\n A desirable tool is\nto construct a perturbation set (PS) of cost coeffcients which ensures the stability of an optimal\nsolution under such uncertainties.<\/jats:p><jats:p>The widely-used methods of solving the TP and AP are the stepping-stone (SS) method and the\nHungarian method, respectively. Both methods fail to provide direct information to construct the\nneeded PS. An added difficulty is that these problems might be highly pivotal degenerate.\n Therefore, the sensitivity results obtained via the available linear programming (LP) software might be\nmisleading.<\/jats:p><jats:p>We propose a unified pivotal solution algorithm for both TP and AP.\n The algorithm is free of pivotal degeneracy, which may cause cycling, and does not require any extra variables such as slack, surplus, or artificial variables used in dual and primal simplex. The algorithm permits higher-order assignment problems and side-constraints. Computational results comparing the proposed\nalgorithm to the closely-related pivotal solution algorithm, the simplex, via the widely-used pack-age Lindo, are provided. The proposed algorithm has the advantage of being computationally\npractical, being easy to understand,  and providing useful information for managers. The results\nempower the manager to assess and monitor various types of cost uncertainties encountered in\nreal-life situations. Some illustrative numerical examples are also presented.<\/jats:p>","DOI":"10.1155\/s1173912698000042","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T07:44:28Z","timestamp":1173339868000},"page":"65-104","source":"Crossref","is-referenced-by-count":8,"title":["Managing cost uncertainties in transportation and assignment problems"],"prefix":"10.1080","volume":"2","author":[{"given":"V.","family":"Adlakha","sequence":"first","affiliation":[{"name":"Business Center, University of Baltimore, 1402 N. Charles Street, Baltimore, MD 21201-5779, USA"}]},{"given":"H.","family":"Arsham","sequence":"additional","affiliation":[{"name":"Business Center, University of Baltimore, 1402 N. Charles Street, Baltimore, MD 21201-5779, USA"}]}],"member":"301","container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/169189.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/169189.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:22:54Z","timestamp":1723126974000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/1998\/169189\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1,1]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1998,1,1]]}},"alternative-id":["169189"],"URL":"https:\/\/doi.org\/10.1155\/s1173912698000042","relation":{},"ISSN":["1173-9126"],"issn-type":[{"type":"print","value":"1173-9126"}],"subject":[],"published":{"date-parts":[[1998,1,1]]}}}