GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES OPTIMIZATION THE NUMBER OF UNITS HOUSE EACH TYPE ON HOUSING MONTESA PERMAI BANJAR REGENCY
Authors: Prof. Marcia Barbosa
DOI: 10.87349/JBUPT/28612
Page No: 125-133
Abstract
Housing is a collection of houses as part of settlements, both urban and rural, which are equipped with infrastructure, facilities, and public utilities as a result of efforts to fulfill decent homes. In housing construction, the developer needs to calculate the optimization of the number of house units of each type so as not to suffer losses because there are several houses of a certain type that are not sold out. Optimizing the number of housing units is done to get the optimal results in the form of the optimal number of houses each type and the maximum profit according to existing restrictions. In addition, the sensitivity analysis calculation is performed to find out how the effect occurs if there are changes in the existing limits. In this research, the model used is integer programming. Integer programming is a linear program in which the variables are in integer type. After primary and secondary data have been collected, data analysis is carried out, namely deciding decision variables, formulating the objective function, and formulating the functional function. There are 4 (four) decision variables used, namely the number of 36 type subsidized houses, 36 type non-subsidized houses, 45 type houses, and 54 types of houses. There are 4 (four) formulation of constraint functions, namely residential land area, housing construction time, production costs of housing construction, people's buying interest, and people's purchasing ability. Furthermore, optimization calculations are carried out with the help of the QM for Windows 2 program. Sensitivity analysis is carried out with conditions of changes in production costs, production capital, implementation time, the deadline for implementation, community buying interest, and community purchasing ability. Optimization the number of units house carried out resulted in an optimal number of houses built as many as 170 houses with a combination of type 36 subsidized houses as many as 52 units, the number of non-subsidized type 36 houses as many as 57 units, the number of 45 type houses as many as 45 units and the number of 54 type houses as many as 16 units. The results of the sensitivity analysis include changes in production costs considered to be very sensitive to optimal results. Then the change in the coefficient of purchasing ability, time of implementation, and changes in the public interest is considered quite sensitive to the optimal results. Changes in the implementation deadline and changes in the cost of production (capital production) are considered not too sensitive to optimal results.
