When does a dynamic programming formulation guarantee the existence of an FPTAS?
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Machine scheduling with earliness, tardiness and non-execution penalties
Computers and Operations Research
Probability in the Engineering and Informational Sciences
An FPTAS for scheduling jobs with piecewise linear decreasing processing times to minimize makespan
Information Processing Letters
Minimization of ordered, symmetric half-products
Discrete Applied Mathematics
An FPTAS for parallel-machine scheduling under a grade of service provision to minimize makespan
Information Processing Letters
Note: FPTAS for half-products minimization with scheduling applications
Discrete Applied Mathematics
New Exact Algorithms for One-Machine Earliness-Tardiness Scheduling
INFORMS Journal on Computing
Parallel-machine scheduling of simple linear deteriorating jobs
Theoretical Computer Science
Non-approximability of just-in-time scheduling
Journal of Scheduling
Minimization of ordered, symmetric half-products
Discrete Applied Mathematics
Parallel-machine scheduling with deteriorating jobs and rejection
Theoretical Computer Science
Parallel-machine scheduling with an availability constraint
Computers and Industrial Engineering
An FPTAS for uniform machine scheduling to minimize makespan with linear deterioration
Journal of Combinatorial Optimization
Journal of Combinatorial Optimization
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A fully polynomial approximation scheme for the problem of scheduling n jobs on a single machine to minimize total weighted earliness and tardiness is presented. A new technique is used to develop the scheme. The main feature of this technique is that it recursively computes lower and upper bounds on the value of partial optimal solutions. Therefore, the scheme does not require any prior knowledge of lower and upper bounds on the value of a complete optimal solution. This distinguishes it from all the existing approximation schemes.