Optimal routing and scheduling in flexible manufacturing systems using integer programming

被引:0
|
作者
Cogill, Randy [1 ]
Hindi, Haitharn [2 ]
机构
[1] Univ Virginia, Dept Syst & Informat Engn, Charlottesville, VA 22903 USA
[2] PARC, Intelligent Syst Lab, Palo Alto, CA USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Here we consider the problem of maximum throughput routing and scheduling for flexible manufacturing systems/cells (FMS/FMC) and processing networks. Such a system consists of a set of machines which process materials and a transport network for moving materials among the machines. The goal in this problem is to find a policy for introducing jobs into the network and routing jobs through the network that maximizes the average number of jobs entering the system per unit time. We present an 0-1 linear program formulation of the maximum throughput routing and scheduling problem. This formulation is based on an extension of the linear programming formulation of the multistage network flow problem. For small problem instances, existing 0-1 solvers can be used to find an optimal schedule. For larger problem instances, we discuss the use of linear programming relaxations to find performance guarantees and rounding techniques for extracting feasible 0-1 solutions from the linear program solution. Finally, we demonstrate the general techniques described in the paper on a large-scale example. For this example, solving the linear programming relaxation and extracting a feasible schedule produces an optimal solution.
引用
收藏
页码:5375 / +
页数:2
相关论文
共 50 条
  • [1] Optimal instruction scheduling using integer programming
    Wilken, K
    Liu, J
    Heffernan, M
    [J]. ACM SIGPLAN NOTICES, 2000, 35 (05) : 121 - 133
  • [2] OPTIMAL GENERATOR MAINTENANCE SCHEDULING USING INTEGER PROGRAMMING
    DOPAZO, JF
    MERRILL, HM
    [J]. IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1975, 94 (05): : 1537 - 1545
  • [3] Time-Optimal Coordination of Flexible Manufacturing Systems Using Deterministic Finite Automata and Mixed Integer Linear Programming
    Kobetski, Avenir
    Fabian, Martin
    [J]. DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2009, 19 (03): : 287 - 315
  • [4] Time-Optimal Coordination of Flexible Manufacturing Systems Using Deterministic Finite Automata and Mixed Integer Linear Programming
    Avenir Kobetski
    Martin Fabian
    [J]. Discrete Event Dynamic Systems, 2009, 19 : 287 - 315
  • [5] Scheduling of flexible manufacturing systems using Timed Petri nets and mathematical programming
    Bourdeaud'huy, Thomas
    Hanafi, Said
    Yim, Pascal
    [J]. WODES 2006: EIGHTH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, PROCEEDINGS, 2006, : 94 - +
  • [6] OPTIMAL SCHEDULING OF INTEGRATED ENERGY SYSTEMS BASED ON MIXED INTEGER LINEAR PROGRAMMING WITH FLEXIBLE LOAD ACCOUNTING
    Ye, Shangxing
    Xu, Feifei
    Lin, Meixiu
    Li, Youting
    [J]. UPB Scientific Bulletin, Series C: Electrical Engineering and Computer Science, 2023, 85 (02): : 331 - 348
  • [7] Using scheduling in flexible manufacturing systems
    McDuffie, EL
    Schneider, M
    Buoni, FB
    Shnaider, E
    Schneider, M
    MartinVega, LA
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 1995, 8 (06) : 681 - 688
  • [8] OPTIMAL SCHEDULING OF INTEGRATED ENERGY SYSTEMS BASED ON MIXED INTEGER LINEAR PROGRAMMING WITH FLEXIBLE LOAD ACCOUNTING
    Ye, Shangxing
    Xu, Feifei
    Lin, Meixiu
    LI, Youting
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN SERIES C-ELECTRICAL ENGINEERING AND COMPUTER SCIENCE, 2023, 85 (02): : 331 - 348
  • [9] Optimal Fleet Scheduling Integer Programming
    Nguyen, Bao
    Mirshak, Ramzi
    [J]. OCEANS 2016 MTS/IEEE MONTEREY, 2016,
  • [10] Optimal routing and scheduling by maximum gap policies in manufacturing systems
    Giglio, D
    Minciardi, R
    [J]. 2002 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS I-IV, PROCEEDINGS, 2002, : 90 - 95