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Time buffers in the open shop problem

Kuchta D.

Control and Cybernetics

2014

Vol. 43, no. 4

531--546

A stability concept for the open shop schedule is proposed. The underlying aim is to protect an organisation against serious problems caused by accumulation of delays in various processes realised in the organisation at the same time. The stability criterion is coupled with that of schedule makespan minimisation. Buffers are used as a tool of ensuring schedule stability. A fuzzy model determining the optimal schedule with respect to both criteria is formulated based on expert opinions as to the desired buffer size and the desired planned makespan. The model is expressed as a mixed integer linear programming model. The approach is illustrated by means of an example.

On a bicriteria optimal production plan

Kuchta D.

Control and Cybernetics

2007

Vol. 36, no 2

357-366

The classical mathematical programming problem used for the determination of a production plan maximising total income or profit is complemented with a second objective, concerning the makespan of the products being manufactured on two machines. As a result, a bicriterial integer linear programming problem is obtained, which can be solved by means of classical methods. A computational example is presented and discussed.