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A Petri net model to determine optimal assembly sequences with assembly operation constraints

Identifieur interne : 002645 ( Main/Exploration ); précédent : 002644; suivant : 002646

A Petri net model to determine optimal assembly sequences with assembly operation constraints

Auteurs : Shang-Tae Yee [États-Unis] ; Jose A. Ventura [États-Unis]

Source :

RBID : ISTEX:5EDD8F08A5049C685F00B092942D821DD22621C9

Abstract

The assembly process in an automated assembly system is the execution of successive assembly operations in which each operation joins one component with another component to form a larger component. The selection of the assembly sequence of a product has a great effect on the efficiency of the assembly process. A systematic procedure is needed not only to generate all feasible assembly sequences but also to choose an optimal sequence. This paper describes a method for finding tight bounds on optimal sequences in an assembly system. A Petri net obtained from the AND/OR graph of a product can be formulated as a 0–1 integer linear program that minimizes the total assembly time or cost while satisfying three assembly operation constraints, namely, ease of component handling, ease of component joining, and tool changes. A Lagrangian dual formulation is then developed to obtain a lower bound. A dynamic programming algorithm provides a dual solution, and a subgradient optimization algorithm is used to maximize the lower bound obtained from the dual problem. The solution procedure is validated by determining the optimal assembly sequences of three products.

Url:
DOI: 10.1016/S0278-6125(99)80032-6


Affiliations:


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