A Petri net model to determine optimal assembly sequences with assembly operation constraints
Identifieur interne : 002645 ( Main/Exploration ); précédent : 002644; suivant : 002646A Petri net model to determine optimal assembly sequences with assembly operation constraints
Auteurs : Shang-Tae Yee [États-Unis] ; Jose A. Ventura [États-Unis]Source :
- Journal of Manufacturing Systems [ 0278-6125 ] ; 1999.
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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<front><div type="abstract" xml:lang="en">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.</div>
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