A Polynomial Algorithm for Special Case of the One-Machine Scheduling Problem with Time-Lags

1999 ◽  
Author(s):  
Helena Ramalhinho Dias Lourenço
Keyword(s):  
Polynomial Algorithm ◽  
Machine Scheduling ◽  
Time Lags ◽  
Scheduling Problem ◽  
One Machine Scheduling ◽  
The One ◽  
One Machine ◽  
Special Case

An Improved Branch-and-Bound Algorithm for the One-Machine Scheduling Problem with Delayed Precedence Constraints

2020 ◽  
Author(s):  
Wenda Zhang ◽  
Jason J. Sauppe ◽  
Sheldon H. Jacobson
Keyword(s):  
Branch And Bound ◽  
Machine Scheduling ◽  
Precedence Constraints ◽  
Branch And Bound Algorithm ◽  
Scheduling Problem ◽  
Delivery Times ◽  
Problem Instances ◽  
One Machine Scheduling ◽  
The One ◽  
One Machine

In this paper, we discuss the one-machine scheduling problem with release and delivery times with the minimum makespan objective. Both heuristics and branch-and-bound algorithms have been formulated for the problem. One such branch-and-bound algorithm solves the problem and a variation that requires a delay between the completion of one job and the start of another (delayed precedence constraints). This paper analyzes key components of this branch-and-bound algorithm and proposes an improved heuristic to be used in conjunction with a different search strategy. Computational experiments demonstrate that the modifications lead to substantial improvements in running time and number of iterations on the one-machine problem instances both with and without delayed precedence constraints.

A Solvable Case of the One-Machine Scheduling Problem with Ready and Due Times

1978 ◽  
Vol 26 (1) ◽  
pp. 121-126 ◽  
Author(s):  
Hiroshi Kise ◽  
Toshihide Ibaraki ◽  
Hisashi Mine
Keyword(s):  
Machine Scheduling ◽  
Scheduling Problem ◽  
Solvable Case ◽  
One Machine Scheduling ◽  
The One ◽  
One Machine
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