Minimal proper non-IRUP instances of the one-dimensional cutting stock problem
نویسندگان
چکیده
We consider the well-known one-dimensional cutting stock problem (1CSP). It is shown that all possible instances of the 1CSP can be divided into a finite number of equivalence classes when the number of items m is fixed. A method for enumerating all these classes is investigated. This method is improved for searching proper non-IRUP instances with minimal number of items. We found the minimal number of items is m = 10 when a proper non-IRUP instance exists. We also found 365 equivalence classes that consist of such instances. keyword Cutting Stock Problem, Integer Round-up Property, Equivalence of instances, Branch and Bound Method, Linear Programming
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 187 شماره
صفحات -
تاریخ انتشار 2015