Aplikasi Matriks dalam Perencanaan Waktu dan Biaya Proyek (Studi Kasus: Proyek Gedung Kantor Badan Pusat Statistik Provinsi Aceh)

Abstract

In this research, matrixes of mathematics are used to integrate schedule and cost of a project. Some matrixes of time data and cost are established. The relationship between time and cost of a project is indicated in the matrix equations. Matrix application is implemented in the Microsoft Excel program in which the matrixes are interrelated automatically. The aim of the thesis was to comp(ll'e the change in cost as the result of the difference in schedule weight with the structure element and the use of Matrix Application in the calculation of the integrated cost of a project. The matrixes were analyzed in three stages. The first stage was the work breakdown which comprised of work package, work element, cost of materials, equipment, and manpower. The second stage was developing time and cost matrix equation which comprised of quantity matrix, unit price matrix, schedule ratio matrix, and cost matrix. The third stage was time and cost integration in the form of matrix equation which comprised of cost matrix on time, quantity matrix on time, interest value matrix, and money value matrix. The research used three alternatives of schedule which was done by changing the time of the beginning and the end of the work without changing its duration. The money value at the end of the project (week 32) for schedule model programmed by the programmer was Rp. 8,213,095,136.17. The money value at the- end of the project implementation (week 32) for the alternatives of schedule I, II, and III was Rp. 8,209,397,013.74, Rp. 8,199,968,757.88, and Rp. 8,206,273,092.15 respectively. It could be retrenched, based on the difference of money value for each alternative, alternative I was Rp. 3,698,122.43 (0.05%), alternative II was Rp. 13,126,378.29 (0.16%), and alternative III was Rp. 6,822,044.02 (0.08%). The shift of schedule for each alternative was done in some work items which did not depend on the other work. Of the three alternatives, the best alternative which was based on the retrenchment was the second alternative of schedule because it had more retrenchment, compared with alternative I and alternative Ill Based on the money value at the end of the project for the three alternatives, it was found that the difference in scheduling influenced the money value spent at the end of the project although work duration and project duration as a whole did not change.