Implied constraints and LP duals of general nonlinear programming problems

European Journal of Operational Research

Volumn 112, Issue 3, 1999, Pages 673-681

  Johri, Pravin K ^a  

^a AT AND T LABS RESEARCH   (United States)

Author keywords

Duality; Implied constraints; Lagrangian dual; Linear programming; Local duality; Nonlinear programming; Simplex method

Indexed keywords

BOUNDARY CONDITIONS; CONSTRAINT THEORY; LAGRANGE MULTIPLIERS; LINEAR PROGRAMMING; PROBLEM SOLVING; RELAXATION PROCESSES;

IMPLIED CONSTRAINTS; LAGRANGIAN DUAL; LOCAL DUALITY; SIMPLEX METHOD;

NONLINEAR PROGRAMMING;

EID: 0033078884     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00403-7     Document Type: Article

References (6)

1. M.S. Bazaraa, C.M. Shetty, Nonlinear Programming: Theory and Algorithms, Wiley, New York, 1979.
2. M. Avriel, Nonlinear Programming Analysis and Methods, Prentice-Hall, Englewood Cliffs, NJ, 1976.
3. Johri P.K. Implied constraints and an alternate, unified development of nonlinear programming theory. European J. Oper. Res. 88:1996;537-549.
4. Johri P.K. Implied constraints and a unified theory of duality in linear and nonlinear programming. European J. Oper. Res. 71:1993;61-69.
5. Johri P.K. Derivation of duality in mathematical programming and optimization theory. European J. Oper. Res. 73:1994;547-554.
6. Johri P.K. Duality via half spaces. ZOR Methods Models Oper. Res. 39:1994;85-92.