Research of Perception and Behavior in Architectural Space

Japanese


Optinum Allocation of rooms


Title:

OPTIMUM ALLOCATION OF ROOMS, PATH AND DOORWAYS WITHIN SITE

Author:
Shigeyuki Okazaki
Akihiro Ito

Publication/Publisher:
Journal of Archit. Plann. Environ. Engng. AIJ, No.311, Jan., 1982

Abstract:
 This paper presents a method of assignment of rooms to location and method of addition of communication path and doorsways. A grid is placed over a given site and each rooms, dividing them into cells of a size decide by archtect. The first room to be positioned is located at the center of the site. The second is located contiguous to the first with the virtual path area between. A communication path between two rooms, both of which have the largest number of contacts, is assigned first in the virtual communication path area. As the communication path between two rooms is generated, a doorways of each room is located such that the path is the shortest. Unnecessary vbirtual path area between two rooms is eliminated by the convergent shift of rooms'position .


Title:

MODEL FOR ROOM LAYOUT BY METHOD OF SUCCESSIVE APPROXIMATION AND ADDITION OF COMMUNICATION PATHS

Author:
Shigeyuki Okazaki
Akihiro Ito

Publication/Publisher:
Journal of Archit. Plann. Environ. Engng. AIJ, No.339, May, 1984

Abstract:
 本論は所与の面積と形状を持つ諸室の配置を、敷地条件を考慮しつつ「空間親近度cijと室相互の距離dijの積」の総和を最小にすることを目標にheuristicな方法によって求め、続いて必要な室間に最短経路となる通路を求める研究である。

 We descrived the use of comouterized layout model as design aids in developing alternative layout designs. Input date to the model are the following:
1) shape and size of each rectangle room.
2) types of room, movable, fixed semimovable x, semimovable y, and movable within a territory, and bartype comonent.
3) association chart of cij which denotes communication frequency between room i and j.
Rooms are located adjacently by heuristic methoh so as to minimize the total of the product of cij and the Euclidian distance dij taking into account of the site. The total force on room i in the x and y direction is given by the equations,

   M+L
xFi =Σ{cij-cR(ri+rj)/dij }xj-xi)/dij
    j


   
M+L
xFi =Σ{cij-cR(ri+rj)/dij }yj-yi)/dij
    j

where

CR = UR for cij =0
RR for cij /=0

 UR is the magnitude of the repulsion force between the two rooms whose frequency of communication is 0. RR is constant ratio of a tension and a repulsion force. M is anumber of rooms total (fixed, movable, and semi movable). L is a number of components.
Following formulas present the mathematical concept of forced directed location of moveable rooms. Try to find location to these equations by the method of successive approximation. UV is a constant to move every room quradually.
new  old
xi = xi + URxFi
new
yi
+ URyFi

 The location procedure is broken down into three phases"forced directed location phase", "room overlap resolution phase" and"convergence phase".
 All boundaries between rooms being regarded as potential paths are considered a circulation path network for this layout. A vertex of a room is considered anode of the network. Find paths of minimum total length between every two given rooms by the Dijkstra Method. These paths construct the path communicating every room. Rooms along the path are moved to give the dimension to the path.


Title:

A STUDY OF A MODEL FOR SUB-OPTIMUM LINEAR ORDERING OF ROOMS

Author:
Shigeyuki Okazaki
Satoshi Matsushita
Tuyoshi Kunieda

Publication/Publisher:
Journal of Archit. Plann. Environ. Engng. AIJ, No.380, Oct., 1987

Abstract:
 This is a study of amodel for sub-optimal lienear ordering of rooms to be allocated along alinear communication path. The pattern of communication path, such as linear,loop,TY-shape and cross, tends to be imaged as abasic form of architectural planatthe beginning of the design. Criteria for the sub-optimum ordering of rooms are those that follow.
1)Maximizingor minimizing themaxmmum or minimum number of communication movements passing through between each possible subset of rooms and its complementary set of rooms.
2)Maximizing or minimising the total length of communication movents between rooms.
 The study is also developed in this paper to deal with allocation when rooms are different in size and some rooms are fixed at the given place in advance.
The problem to find the sub-optimum ordering turns out to be equivalent to find the shortest directed path from the start vertex to the goal vertex in a state-space graph. Each vertex of this graph consists of subset of rooms.The start vertex consists of empty set and universal set respectively.