the implementation of different silvicultural systems can be effective on different characteristics of forest stands, such as stand structure and diameter distribution of trees. this study was carried out in shafaroud forests of gilan province of northern iran. the objectives of this research were 1) to evaluate the suitability of different probability distribution functions, including weibull,...

The two-dimensional strip packing is a special case of “Cutting and Packing” problems that arises in many applications. The problem seeks to pack a given set of rectangles into a strip of given width in order to minimize its length. Some applications in which the strip packing problem arises are: Cutting pieces from wooden boards, cutting pieces from glass or steel sheets, optimal layout of ind...

The manufacture of parts made of metal sheet often includes two successive processes: the cutting process at which a guillotine shear cuts the sheet into strips, and the punching process at which a stamping press punches out the blanks from the strips. This paper presents an algorithm for generating optimal two-staged cutting patterns of strips for the cutting process. At the first stage the sh...

Micro strip patch antennas are widely used in compact, conformal and lowcost wireless applications due to its advantages over conventional antenna. Literature study of last few decades of micro strip patch antenna (MPA) shows that the different techniques are used to design a small size micro strip patch antenna. In this paper survey is conducted on different antenna designing methods like E sh...

We consider several formulations of two-dimensional two-stage constrained cutting, where the number of variables is polynomial. Some new models with variable strip widths are developed. Symmetries in the search space are eliminated by lexicographic constraints which are already known from the literature. However, previously known models with fixed strip widths are shown to be more effective. Th...

We propose a spatial aggregation method to solve an optimal harvest scheduling problem for strip shelterwood management. Strip shelterwood management involves either a two-cut system with a preparatory-removal cut cycle, or a three-cut system with a preparatory-establishment-removal cut cycle. In this study we consider these connected sequential cuts as one decision variable, then employ conven...

We consider several formulations of two-dimensional two-stage constrained cutting, where the number of variables is polynomial. Some new models with variable strip widths are developed. Symmetries in the search space are eliminated by lexicographic constraints which are already known from the literature. However, previously known models with fixed strip widths are shown to be more effective. Th...

We present algorithms for the following three-dimensional (3D) guillotine cutting problems: Unbounded Knapsack, Cutting Stock and Strip Packing. We consider the case where the items have fixed orientation and the case where orthogonal rotations around all axes are allowed. For the Unbounded 3D Knapsack problem, we extend the recurrence formula proposed by Beasley for the Rectangular Knapsack Pr...