1. A COMMENT ON A PAPER OF MAXWELL.
- Author
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Sidney, Jeffrey B.
- Subjects
JOB shops management ,INTEGER programming ,MATHEMATICAL programming ,PRODUCTION management (Manufacturing) ,ALGORITHMS ,LINEAR programming ,MATHEMATICAL optimization ,MATHEMATICAL models ,MANAGEMENT science research ,OPERATIONS research - Abstract
The article presents comments on the management science paper "On Sequencing n Jobs on One Machine to Minimize the Number of Late Jobs," by William L. Maxwell. The paper focused on an integer programming formulation of a one-machine job shop problem. The author contends that Maxwell made in error in proving the validity of an optimal algorithm by applying cutting plane constraints to the problem. The author explains that the problem cannot be solved through traditional cutting plane procedures. The author provides a mathematical model in an attempt to correct the proof.
- Published
- 1972
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