Submodular Integer Cover and Its Application to Production Planning
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  • 作者:Toshihiro Fujito ; Takatoshi Yabuta
  • 刊名:Lecture Notes in Computer Science
  • 出版年:2005
  • 出版时间:2005
  • 年:2005
  • 卷:3351
  • 期:1
  • 全文大小:221 KB
  • 刊物类别:Computer Science
  • 刊物主题:Artificial Intelligence and Robotics
    Computer Communication Networks
    Software Engineering
    Data Encryption
    Database Management
    Computation by Abstract Devices
    Algorithm Analysis and Problem Complexity
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1611-3349
文摘
Suppose there are a set of suppliers i and a set of consumers j with demands b j , and the amount of products that can be shipped from i to j is at most c ij . The amount of products that a supplier i can produce is an integer multiple of its capacity κ i , and every production of κ i products incurs the cost of w i . The capacitated supply-demand (CSD) problem is to minimize the production cost of ∑ i w i x i such that all the demands (or the total demand requirement specified separately) at consumers are satisfied by shipping products from the suppliers to them.

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