MODEL FOR THE LAYOUT PROBLEM (Part 1)

MODEL FOR THE LAYOUT PROBLEM (Part 1) INTRODUCTIONThe objectives:Minimize movement of personnel and materialMinimize transporting work-in-process, finished part, materials, and toolsMinimize picking part from storage spaces.

Classification:Single layout problemMulti row layout problem.

MODEL FOR SINGLE ROW LAYOUT PROBLEMGeneral layout:

Assumption:The facilities are square or rectangleThe facilities are arranged along a straight lineThe orientation of the facilities is known a prioriNo restriction on the shape of the building. Tidak ada batasan dari bentuk bangunanABSMODEL 1(Used to solved single row layout problem)Parameters:

Decision variable:

ABSMODEL 1Optimization models:

ABSMODEL 1Constraints that can be added

EXAMPLE FOR ABSMODEL 1dari from to chartA repair shop has 5 room to repair electronic equipment. Data for frequencies between room and the dimension shown as follows:

Develop the model using ABSMODEL 1 to determine the position each room to minimize the part traveling distance.

Existing Layout (TVCR)

Analysis of ABSMODEL 1 Using GINO

FINAL LAYOUT:[TVCR]Multirow Layout

MODEL FOR THE MULTI-ROW LAYOUT PROBLEMThe control panel layout problem; The machine layout problem; Typewriter keyboard design; Office layout (Burkard, 1984).Various Models have been developed to formulate the problem. QAP (Quadratic Assignment Problem) (Koopman and Beckman, 1957)Linear mixed integer programming (Love and Wong, 1976)The quadratic set covering model (Bazaraa, 1975)The non linear model (Heragu, 1992)

QAP (Quadratic Assignment Problem)n facilities to be assigned to m locationsAssignment means matching each facility with a specific location and vice versa.If n