Line balancing TS

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01. Line Balancing 1 U TILIZATION R ATE AND P ROBABILITY OF N O - C OMPLENTION BPT C ASE - B ALANCE OF AN A SSEMBLY MACHINE - PACED LINE - BTP is a multinational company producing components for trucks - Decided to set up a new line to produce a product to improve the transport efficiency and the driver’s comfort and safety - The objective of the product is lubricating all the greasing points of a vehicle in the right quantity in order to diminish maintenance and wear - This new product is made by an electric pump, that als o has a tank with grease, by a main pipe, a metering box and an electric circuit with a timer o The timer, at regular intervals, starts the pump that impresses in the system a pressure of 55 - 60 bar o Through the main pipe and the metering box, the right quan tity of grease is sent to secondary pipes and bearings I NPUT DATA - Assembly tasks: o The assembly process has 7 steps o Every step has been divided into simpler operations - Next table shows: o T he list of operations o The precedence relationships o The processing mean - times of these operations o And the standard deviations of these times STEP Code Precedence Relationships Mean time Standard Deviation 1 101 / 55’’ 9’’ 102 101 2’39’’ 10’’ 2 201 / 25’’ 3’’ 202 201 35’’ 4’’ 203 202 55’’ 8’’ 204 203 31’’ 4’’ 205 204 22’’ 4’’ 3 301 / 14’’ 2’’ 302 / 28’’ 3’’ 303 / 14’’ 2’’ 304 303, 301 1’36’’ 12’’ 305 304 46’’ 5’’ 306 305 17’’ 3’’ 307 306 4’51’’ 11’’ 308 307 37’’ 6’’ 309 308 1’11’’ 9’’ 310 309 23’’ 3’’ 311 102, 205, 302, 310 37’’ 7’’ 4 401 311 15’’ 3’’ 402 311 1’52’’ / 403 401 31’’ 3’’ 404 403 10’’ 4’’ 5 501 404, 402 21’’ 2’’ 502 501 14’’ 8’’ 503 502 26’’ 5’’ 6 601 503 9’’ 1’’ 602 601 44’’ 3’’ 603 602 33’’ 6’’ 7 701 603 22’’ 3’’ 702 701 1’59’’ 7’’ Balancing constraint («zoning» restriction):…