Adams, W., Waddell, L., 2014. Linear programming insights into solvable cases of the quadratic assignment problem. Discrete Optimization 14, 46- 60.W. Adams, L. Waddell. Linear programming insights into solvable cases of the quadratic assignment problem, Discrete Optimization, 14:46-60, 2014....
linear programming schedulingWe present a broad survey of recent polynomial algorithms for the linear assignment problem. They all use essentially alternating trees and/or strongly feasible trees. Most of them employ Dijkstra's shortest path algorithm directly or indirectly. When properly implemented, ...
Linear programming is utilized to resolve the Simplex Method problem. Linear programming might be useful to solve any programming issue that has a linear structure. Additionally, it specifies the most likely and agreeable consequence or solution from a certain set of criteria, as expressed in linear...
In this paper, we formulate the quadratic assignment problem through multiple objective programming in which we can have several objectives. In the facility layout problem, the objectives can be materials handling cost, production rate, and flexibility. We define efficiency and describe how efficient ...
Mixed integer linear programmingThe Quadratic Assignment Problem (QAP) can be solved by linearization, where one formulates the QAP as a mixed integer linear programming (MILP) problem. On the one hand, most of these linearizations are tight, but rarely exploited within a reasonable computing ...
In this paper, a novel bi-objective integer linear programming model of the 1+1 routing and network coding assignment problem arisen in applying XOR network coding for dedicated protection has been presented. Two individual objectives have been combined into an integrated one in which the primary ...
Also, our problem is a special case of binary integer linear programming problem (which is NP-hard). But, due to the specifics of the problem, there are more efficient algorithms to solve it. We’ll handle the assignment problem with the Hungarian algorithm (or Kuhn-Munkres algorithm). I...
The new reformulation leads to use of commercially available codes to solve the resulting mixed-integer linear programming problem. Computational experience with this new reformulation is also discussed.doi:10.1080/07408179308964332KETTANI, OSSAMAORAL, MUHITTIN...
Strong Cutting Plane Algorithm for an Assignment Problem with Side ConstraintsLinear ProgrammingAlgorithmsConstraintsMathematical ModelsOptimizationThis paper treats an assignment problem with the additional constraints that specified variables are required to be equal to each other. The problem arose in the ...
E. Balas, D. Miller, J. Pekny, and P. Toth, A parallel shortest path algorithm for the assignment problem, Journal of the ACM38, 1991, 985–1004. ArticleMathSciNetMATHGoogle Scholar E. Balas and L. Qi, Linear-time separation algorithms for the three-index assignment polytope, Discrete ...