TY - GEN
T1 - Data-Based Identification Method for Jobshop Scheduling Problems Using Timed Petri Nets
AU - Nishi, Tatsushi
AU - Shimamura, Naoki
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2019/1/9
Y1 - 2019/1/9
N2 - We address a data-based identification method of machine scheduling problems using timed Petri nets. A general machine scheduling model is represented by timed Petri nets with resource places. Given a set of machines and jobs, and their starting times and completion times of several machines, the objective is to find resource constraints of a given machine scheduling problem from input and output data. The problem is to find the connectivity of each resource place in the operational places. A mixed integer linear programming model is formulated to find an optimal connectivity of resource places to minimize the mean square error of the input and output data. An approximation algorithm is developed to apply larger instances. Numerical examples are provided to show the effectiveness of the proposed approximation algorithm.
AB - We address a data-based identification method of machine scheduling problems using timed Petri nets. A general machine scheduling model is represented by timed Petri nets with resource places. Given a set of machines and jobs, and their starting times and completion times of several machines, the objective is to find resource constraints of a given machine scheduling problem from input and output data. The problem is to find the connectivity of each resource place in the operational places. A mixed integer linear programming model is formulated to find an optimal connectivity of resource places to minimize the mean square error of the input and output data. An approximation algorithm is developed to apply larger instances. Numerical examples are provided to show the effectiveness of the proposed approximation algorithm.
KW - Petri nets
KW - approximation algorithm
KW - model identification
KW - scheduling
UR - http://www.scopus.com/inward/record.url?scp=85061793640&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85061793640&partnerID=8YFLogxK
U2 - 10.1109/IEEM.2018.8607741
DO - 10.1109/IEEM.2018.8607741
M3 - Conference contribution
AN - SCOPUS:85061793640
T3 - IEEE International Conference on Industrial Engineering and Engineering Management
SP - 1461
EP - 1465
BT - 2018 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2018
PB - IEEE Computer Society
T2 - 2018 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2018
Y2 - 16 December 2018 through 19 December 2018
ER -