We survey and extend the results on the complexity of machine scheduling problems. After a brief review of the central concept of NP-completeness we give a classification of scheduling problems on single, different and identical machines and study the influence of various parameters on their complexi...
SINGLE AND MULTIPLE MACHINE SCHEDULINGCONTROLLABLE TIMESWe survey and extend the results on the complexity of machine scheduling problems. After a brief review of the central concept of NP-completeness we give a classification of scheduling problems on single, different and identical machines and study...
We consider scheduling problems on a single machine with the minimization of the total weighted completion time, the maximum lateness, and the number of tardy jobs, respectively, as objective and determine their computational complexity. Since the general versions of our problems turn out to be ...
The task of scheduling jobs to machines while minimizing the total makespan, the sum of weighted completion times, or a norm of the load vector are among t
Economic deliberations are slow, effortful and intentional searches for solutions to difficult economic problems. Although such deliberations are critical for making sound decisions, the underlying reasoning strategies and neurobiological substrates rema
In this paper, we investigate the complexity of various cyclic scheduling problems in flow-shop, job-shop and other environments. We review existing results and provide proofs for two new complexity results: we show that maximizing throughput in a flexible assembly line is NP-hard, and in the ...
needed for the conversion. The problems are generally of two types- feasibility or satisfice problems. For eg. Scheduling a production facility, timelines and deadlines of the production process and scheduling without delay in jobs. A certain standard examples of real life instances are pre...
As an example of time-independent imaginary complexity, the design of a printing machine based on xerography is discussed. There are two kinds of time-dependent real complexity: time-dependent combinatorial complexity and time-dependent periodic complexity . Using a robot-scheduling ...
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The class #P-complete consists of all the counting problems f that are hard for the class #P and that belong to #P. We define formally the counting version of the single machine scheduling prob- lem with processing times and deadlines and a counting version of the Subset Sum Problem ...