A Multi-Objective Optimization Approach for Multi-Head Beam-Type Placement Machines

S.A. Torabi, M. Hamedi, J. Ashayeri

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Abstract

This paper addresses a highly challenging scheduling problem in the field of printed circuit board (PCB) assembly systems using Surface Mounting Devices (SMD). After describing some challenging optimization sub-problems relating to the heads of multi-head surface mounting placement machines, we formulate an integrated multi-objective mathematical model considering of two main sub-problems simultaneously. The proposed model is a mixed integer nonlinear programming one which is very complex to be solved optimally. Therefore, it is first converted into a linearized model and then solved using an efficient multi-objective approach, i.e., the augmented epsilon constraint method. An illustrative example is also provided to show the usefulness and applicability of the proposed model and solution method.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages15
Volume2010-128
Publication statusPublished - 2010

Publication series

NameCentER Discussion Paper
Volume2010-128

Keywords

  • PCB assembly. Multi-head beam-type placement machine. Multi-objective mathematical programming. Augmented epsilon-constraint method

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