Single machine flow-time scheduling with a single breakdown
Acta Informatica
Single machine flow-time scheduling with scheduled maintenance
Acta Informatica
A New Fully Polynomial Approximation Scheme for the Knapsack Problem
APPROX '98 Proceedings of the International Workshop on Approximation Algorithms for Combinatorial Optimization
Computers and Industrial Engineering
The Coordination of Two Parallel Machines Scheduling and Batch Deliveries
COCOON '08 Proceedings of the 14th annual international conference on Computing and Combinatorics
A new heuristic algorithm for the machine scheduling problem with job delivery coordination
Theoretical Computer Science
A survey of scheduling with deterministic machine availability constraints
Computers and Industrial Engineering
Minimizing total completion time on a single machine with a flexible maintenance activity
Computers and Operations Research
Computers and Operations Research
Computers and Industrial Engineering
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In this paper, we investigate two single machine scheduling problems. The first problem addresses a class of the two-stage scheduling problems in which the first stage is job production and the second stage is job delivery. For the case that jobs are processed on a single machine and delivered by a single vehicle to one customer area, with the objective of minimizing the time when all jobs are completed and delivered to the customer area and the vehicle returns to the machine, an approximation algorithm with a worst-case ratio of 5/3 is known and no approximation can have a worst-case of 3/2 unless P = NP. We present an improved approximation algorithm with a worst-case ratio of 53/35, which only leaves a gap of 1/70. The second problem is a single machine scheduling problem subject to a period of maintenance. The objective is to minimize the total completion time. The best known approximation algorithm has a worst-case ratio of 20/17 We present a polynomial time approximation scheme.