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In combinatorics, stars and bars (also called "sticks and stones", [1] "balls and bars", [2] and "dots and dividers" [3]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve a variety of counting problems, such as how many ways there are to put n indistinguishable balls into k distinguishable bins. [4]
It is useful when both parties are willing to cooperate in implementing the fair solution. Such solutions, particularly the Nash solution, were used to solve concrete economic problems, such as management–labor conflicts, on numerous occasions. [1] An alternative approach to bargaining is the positive approach. It studies how the surplus is ...
A minimum spanning tree of a weighted planar graph.Finding a minimum spanning tree is a common problem involving combinatorial optimization. Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, [1] where the set of feasible solutions is discrete or can be reduced to a discrete set.
1983, Lotus 1-2-3 for MS-DOS, the first killer application for the IBM PC, it took the market from Visicalc in the early 1980s. 1983, Dynacalc for OS-9 a Unix-like operating system, similar to VisiCalc. [11] 1984, Lotus Symphony for MS-DOS, the follow-on to Lotus 1-2-3; 1985, Boeing Calc for MVS and MS-DOS, written by subsidiary of aviation ...
The minimum pattern count problem: to find a minimum-pattern-count solution amongst the minimum-waste solutions. This is a very hard problem, even when the waste is known. [10] [11] [12] There is a conjecture that any equality-constrained one-dimensional instance with n sizes has at least one minimum waste solution with no more than n + 1 ...
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Various solutions to this problems have been proposed, e.g., the use of fuzzy logic as an alternative to classic RPN model. [36] [37] [38] In the new AIAG / VDA FMEA handbook (2019) the RPN approach was replaced by the AP (action priority). [39] [40] [23] The FMEA worksheet is hard to produce, hard to understand and read, as well as hard to ...
In decision theory, the weighted sum model (WSM), [1] [2] also called weighted linear combination (WLC) [3] or simple additive weighting (SAW), [4] is the best known and simplest multi-criteria decision analysis (MCDA) / multi-criteria decision making method for evaluating a number of alternatives in terms of a number of decision criteria.