An implementation of a decomposition-coordination approach to refinery production scheduling

References

• AOKI , M. , 1971 , The Economic Theory for Organization of Planning ( Japanese ) ( Tokyo Iwanami ).
   Google Scholar
• AONUMA , T. , 1976 , Hierarchical decomposition models and a two-level algorithm for multi-period planning , Journal of Kobe University of Commerce , 28 , 7 .
   Google Scholar
• AONUMA , T. , 1978 , Two-level algorithm for two-stage linear programs , Journal of the Operation Research Society of Japan , 21 , 171 .
   Google Scholar
• AONUMA , T. , 1980 . MULPS linear programming system/IBM 5110 A PL-a decomposition method for dual angular linear programs , WP-52 (April 1980 ). Kobe University of Commerce .
   Google Scholar
• AONUMA . T. , 1981 a. A resource-directive basis decomposition algorithm for weakly coupled dynamic linear programs , Large-Scale Linear Programming , edited by G. B. Dantzig, M. A. H. Dempster and M. J. Kallio , Vol. I , IIASA CP-8I-SI, IIASA , Laxenburg , Austria . ( Also, 1982, M athemalische Operationsforschung und Statistik, Ser. Optimization. 13, 39 .)
   Google Scholar
• AONUMA , T. , 1981b A decomposition-coordination approach to large-scale linear programming models , Large-Scale Linear Programming , edited by G. B. Dantzig. M. A. H. Dempster and M. J. Kallio , Vol. 2 , IIASA, 1981b, pp. 909 – 922 .
   Google Scholar
• CULOT , B. and LOUTK , K. , 1980 , Sources de Programe DEGOMSX CORE , Computing Report 80-B-3, CORE, Univewite Gatholique de Louvain . Belgium .
   Google Scholar
• DASTZIG , G. B. , 1955 , Upper bounds, secondary constraints, and block triangularity in linear programming , Econometrica , 23 , 174 .
   Web of Science ®Google Scholar
• FREELAND , J. R. and MOORE , J. H. , 1977 , Implications of resource directive allocation models For organizational design , Management Science , 23 , 1050 .
   Web of Science ®Google Scholar
• GASS , S. I. , 1966 , The Dualplex Method for Large-Scale Linear Programs , Ph.D. Thesis , University of California , Berkeley , ORG Rept . ( 66 – 15 .
   Google Scholar
• GRAVES . S. C. , 1981 , A review of production scheduling . Operations Research . 29 , 646 .
   Web of Science ®Google Scholar
• HEAL , G. M. , 1973 , Theory of Economic Planning ( Amsterdam North-Holland ).
   Google Scholar
• IBM, 1975 , Mathematical Programming System Extended/370(MPSX/370) . Logic Manual (Licenced Material) , LY 19-1024-0.
   Google Scholar
• IBM, 1979 , Mathematical Programming System Extended/370(M PSX) Program Manual . NH 19-1095-3.
   Google Scholar
• KIDLAND , F. , 1975 , Hierarchical decomposition in linear economic models , Management Science , 21 , 1029 .
   Web of Science ®Google Scholar
• NISHI , T. , 1978 , Monthly Production Scheduling Program in Kawasaki Program Manual , MOC R01-0001-1 , Mitsubishi Oil Co .
   Google Scholar
• NISHI , T. , 1979 , Monthly Production Scheduling Program in Kawasaki Introduction , MOC R01-0003-1 , Mitsubishi Oil Co .
   Google Scholar
• NISHI , T. , AONUMA , T. and TAKAI , E. , 1981 , Implementation of the Decomposition-Coordination Approach to Refinery Production Scheduling , presented at the Annual Meeting of the OR Society of Japan , Osaka .
   Google Scholar
• PEROLD , A, F. and DANTZIG , G. B. , 1978 , A basis factorization method for block triangular linear programs . Proceedings of the Symposium on Sparse Matrix Computations , Knoxvitle. , Tennessee , edited by I. S. Duff and G. W. Steward , pp. 283 – 312 .
   Google Scholar
• SLATE , L. and SPIELBERG , K. , 1978 , The extended control language of MPSX/370 and possible applications , IBM System Journal , 17 , 64 .
   Google Scholar