{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,17]],"date-time":"2024-05-17T18:17:21Z","timestamp":1715969841347},"reference-count":0,"publisher":"Politechnika Wroclawska Oficyna Wydawnicza","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"abstract":"<jats:p>Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.<\/jats:p>","DOI":"10.37190\/ord200105","type":"journal-article","created":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T12:43:50Z","timestamp":1604666630000},"source":"Crossref","is-referenced-by-count":2,"title":["Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint"],"prefix":"10.37190","volume":"30","author":[{"given":"Hamiden","family":"Abd El-Wahed Khalifa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23140","container-title":["Operations Research and Decisions"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/orduser.pwr.wroc.pl\/DownloadFile.aspx?aid=1472","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T13:24:58Z","timestamp":1663248298000},"score":1,"resource":{"primary":{"URL":"http:\/\/orduser.pwr.wroc.pl\/DownloadFile.aspx?aid=1472"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.37190\/ord200105","relation":{},"ISSN":["2081-8858","2391-6060"],"issn-type":[{"value":"2081-8858","type":"print"},{"value":"2391-6060","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}