We investigate several two-dimensional guillotine cutting stock problems and their variants in which orthogonal rotations are allowed. We first present two dynamic programming based algorithms for the Rectangular Knapsack (RK) problem and its variants in which the patterns must be staged. The first algorithm solves the recurrence formula proposed by Beasley; the second algorithm —for staged pat...

We consider the two-dimensional strip packing problem with guillotine cuts. The problem consists in packing a set of rectangular items on one strip of width W and infinite height. The items packed without overlapping must be extracted by a series of cuts that go from one edge to the opposite edge guillotine constraint . To solve this problem, we use a dichotomic algorithm that uses a lower boun...

Cases of suicide by use of elaborate and complex devices are rare in the literature and popular media, despite the media attention such cases attract. These suicide cases have employed guillotines, contraptions involving guns and self-made firearms, and devices capable of delivering asphyxiating gases such as carbon monoxide. All previously reported cases of suicide by guillotine have been by d...

The purpose of this study is to analyse the functioning “regulatory guillotine” in context development administrative law. authors used qualitative methods identify features and determine its place among institutions Quantitative were applied define scope consequences reforms. use legal comparative method made it possible describe peculiarities Russia. research results conclusions from analysis...

We show that any rectilinear polygonal subdivision in the plane can be converted into a “guillotine” subdivision whose length is at most twice that of the original subdivision. “Guillotine” subdivisions have a simple recursive structure that allows one to search for “optimal” such subdivisions in polynomial time, using dynamic programming. In particular, a consequence of our main theorem is a v...

THIS paper is a short account of the several anaesthetic techniques used in over 1,000 cases of tonsillectomy at Glasgow Ear, Nose and Throat Hospital during 1948-1953. The subject falls naturally into two parts: I. Anaesthesia for the removal of tonsils and adenoids in children (860 cases); and II. Anaesthesia for dissection of tonsils in adults (151 cases). In each case the anaesthetic techni...