文章基本信息

标题：Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
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作者：Archana Khurana ; Veena Adlakha ; Benjamin Lev 等
期刊名称：Operations Research Perspectives
印刷版ISSN：2214-7160
电子版ISSN：2214-7160
出版年度：2018
卷号：5
页码：319-333
DOI：10.1016/j.orp.2018.10.001
语种：English
出版社：Elsevier
摘要：Highlights•Transportation problem.•Multiple commodities.•Mutli-index constrained transportation.•Impaired/enhanced flow.AbstractIn this paper, we consider a multi-index constrained transportation problem (CTP) of axial constraints with bounds on destination requirements, source availabilities, and multiple types of commodities. The specified problem is converted into a related transportation problem by adding a source, a destination, and a commodity, making it equivalent to a standard axial sum problem. This related problem is transformed into a multi-index transportation problem that can be solved easily. The provided solution method is very useful for transporting heterogeneous commodities. A transportation model may sometimes have various capacity constraints on the flow between pairs of origins and destinations. Moreover, budgetary, political, and emergency situations may impair or enhance the flow between origins and destinations, making it critical for a manager to reevaluate allocations. These considerations have motivated us to explore the multi-index CTP with impaired and enhanced flow. We present several numerical examples to demonstrate the proposed algorithms.
关键词：KeywordsClassical transportation problemMulti indexImpaired flowUnbalancedOptimal solution