A triple objective function with a Chebychev dynamic pick-and-place point specification approach to optimise the surface mount placement machine

Abstract

Optimisation can play a major role in improving the throughput of surface mount placement machines. Most previous work has reported on improving only the assembly cycle time. The movement of the feeder carrier and PCB table are not always factors which are minimised. In this paper we introduce a triple objective function with a Chebychev dynamic pick-and-place approach to optimise the sequential pick and place machine. We are focusing on improving the feeder setup. The aims are to minimise the robot assembly time, the feeder movements and the PCB table movements. To provide flexibility to our approach, we integrate three weighted parameters into the triple objective function such that one can vary the importance of each factor to be minimised. Experimental results show that our approach gives good robot assembly time and less movement of the feeder carrier and PCB table.

A note on a motion control problem for a placement machine

“…We use f to find the meeting place, and meeting time for two objects that each can move in both the x and y-direction, and we use g when one of the two objects can only move horizontally. Thus, in case the board is restricted to move only in the x-direction (see Ayob and Kendall [3]), this is easily accommodated by replacing f by g in (1). Notice further that we assumed in the description above that there are no physical constraints for any of the moving parts.…”

“…Further studies, that also involve the computation of a feeder assignment and a component placement sequence, are presented in Su and Fu [12], Su et al [13], Wang et al [18], and Van Hop and Tabucanon [17]. Van Hop and Tabucanon [16] and Ayob and Kendall [3] each further develop a method for the motion control problem based on dynamic pick and place positions.…”

“…Such a placement machine is described in, for instance, Ayob and Kendall [3] (where the worktable can only move in the x-direction) and in Altinkemer et al [1] (where the worktable is stationary). Now, in order to operate any placement machine, several decisions must be made.…”

The optimisation of the single surface mount device placement machine in printed circuit board assembly: a survey

“…Some works that have focused on motion control are Su, Wang, Egbelu and Cannon (1995), Su (1995, 1997), Wang (1996), Cannon (1998), Bonert, Shu andBenhabib (2000), Fu and Su (2000), Hop and Tabucanon (2001a, b) and Ayob and Kendall (2005). These publications suggest a dynamic pick-and-place (DPP) point to avoid robot waiting time.…”

Fast Component Placement with Optimized Long-Stroke Passive Gravity Compensation Integrated in a Cylindrical/Tubular PM Actuator

“…Therefore, it can be used for either stand-alone applications or as an end-of-line machine in combination with other component placement machines. A lot of work has been done on improving the efficiency of component placement machines [2][3][4]. However, most previous work involves software improvements, e.g.…”