A perpendicular array PA,(t, k, u) is a n(y) by k array A of u distinct symbols, which satisfies: (i) every row of A contains k distinct symbols, (ii) for any t columns, and for any t distinct symbols, there are precisely 2 rows with the given symbols in the given columns. Such a structure may also be described as a A-uniform, t-homogeneous set of injective mappings from a k-set into a u-set. A...

Pott, A. and M. Shriklande, t-Designs with few intersection numbers, Discrete Mathematics 90 (1991) 215-217. We give a method to obtain new i-designs from t-designs with j distinct intersection numbers if i + j 1 does not exceed t.

Quality of a layout has the most direct impact in the manufacturability of a design. Traditionally, layout quality is ensured in the first order by design rules, i.e. if a layout is free of design rules violation, it is a good layout. It is assumed such a layout will be fabricated to specification. Moreover, a design rule clean layout also ensures the electrical performance of the circuit it re...

This paper tackles the design of fairs which are subject to layout considerations. A fair means a large scale exhibition for goods and services like a trade fair or a regional fair. A method for designing fair layouts using a slicing structure and the horseshoe cut is presented, and numerical results for the layout of a real fair are reported. The selected criterias are evaluated using the obta...

The use of the simulation-based technique in facility layout has been a choice in the industry due to its convenience and efficient generation of results. Nevertheless, the solutions generated are not capable of addressing delays due to worker’s health and safety which significantly impact overall operational efficiency. It is, therefore, critical to incorporate ergonomics in facility design. I...

This paper primarily presents a comprehensive dynamic layout design model which integrates layout and transportation system design via considering more realistic assumptions, such as taking account of fixed-position departments and distance between departments that endanger each other. In addition, specific criteria such as capacity, cost and reliability of facilities are considered in transpor...

This article presents an optimization model of the quantifiable aspects of architectural floorplan layout design, and a companion article presents a method for integrating mathematical optimization and subjective decision making during conceptual design. The model presented here offers a new approach to floorplan layout optimization that takes advantage of the efficiency of gradient-based algor...