Heuristic Methods for the Single-machine Problem

2018 ◽  
pp. 71-103
Keyword(s):  
Single Machine ◽  
Heuristic Methods ◽  
Machine Problem

A Forward-Backward Procedure for the Single Machine Problem to Minimize Maximum Lateness

1985 ◽  
Vol 17 (3) ◽  
pp. 252-260 ◽  
Author(s):  
R. E. Larson ◽  
M. I. Dessouky ◽  
R. E. Devor
Keyword(s):  
Single Machine ◽  
Maximum Lateness ◽  
Backward Procedure ◽  
Machine Problem

scholarly journals A Batching Machine Model for Lot Scheduling on a Single Machine

2018 ◽  
Vol 43 (1) ◽  
pp. 37-40
Author(s):  
Mikhail Y. Kovalyov
Keyword(s):  
Single Machine ◽  
Completion Time ◽  
Optimal Solution ◽  
Time Algorithm ◽  
Machine Model ◽  
Average Completion Time ◽  
Lot Scheduling ◽  
Batching Machine ◽  
Machine Problem ◽  
Total Average

Abstract A recently introduced lot scheduling problem is considered. It is to find a partition of jobs of n orders into lots and to sequence these lots on a single machine so that the total average completion time of the orders is minimized. A simple O(n log n) time algorithm is presented for this problem in the literature, with a relatively sophisticated proof of its optimality. We show that modeling this problem as a classic batching machine problem makes its optimal solution obvious.

scholarly journals Parallel-Batch Scheduling with Two Models of Deterioration to Minimize the Makespan

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Cuixia Miao
Keyword(s):  
Polynomial Time ◽  
Single Machine ◽  
Processing Time ◽  
Parallel Machine ◽  
Batch Scheduling ◽  
Approximation Schemes ◽  
Time Approximation ◽  
Identical Parallel Machine ◽  
Parallel Machine Problem ◽  
Machine Problem

We consider the bounded parallel-batch scheduling with two models of deterioration, in which the processing time of the first model ispj=aj+αtand of the second model ispj=a+αjt. The objective is to minimize the makespan. We presentO(n log n)time algorithms for the single-machine problems, respectively. And we propose fully polynomial time approximation schemes to solve the identical-parallel-machine problem and uniform-parallel-machine problem, respectively.

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