Robust unrelated parallel machine scheduling problem with interval release dates

07/20/2021
by   Mirosław Ławrynowicz, et al.
0

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs to a well-defined interval. Robust optimization requires scenario-based decision-making. A finite subset of feasible scenarios to determine the worst-case regret (a deviation from the optimal makespan) for a particular schedule is indicated. We formulate a mixed-integer nonlinear programming model to solve the underlying problem via three (constructive) greedy algorithms. Polynomial-time solvable cases are also discussed in detail. The algorithms solve the robust combinatorial problem using the makespan criterion and its non-deterministic counterpart. Computational testing compares both robust solutions and different decomposition strategies. Finally, the results confirm that a decomposition strategy applied to the makespan criterion is enough to create a competitive robust schedule.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/20/2021

Recoverable Robust Single Machine Scheduling with Interval Uncertainty

We investigate the recoverable robust single machine scheduling problem ...
research
08/30/2018

The reactive multiple operating room surgical case sequencing problem

In this paper we consider the surgical case sequencing problem (SCSP) un...
research
12/30/2020

New Partitioning Techniques and Faster Algorithms for Approximate Interval Scheduling

Interval scheduling is a basic problem in the theory of algorithms and a...
research
11/18/2019

Learning-Assisted Competitive Algorithms for Peak-Aware Energy Scheduling

In this paper, we study the peak-aware energy scheduling problem using t...
research
04/12/2023

Optimizing Sensor Allocation against Attackers with Uncertain Intentions: A Worst-Case Regret Minimization Approach

This paper is concerned with the optimal allocation of detection resourc...
research
09/12/2020

Robust production planning with budgeted cumulative demand uncertainty

This paper deals with a problem of production planning, which is a versi...
research
12/15/2020

Minimizing Maintenance Cost Involving Flow-time and Tardiness Penalty with Unequal Release Dates

This paper proposes important and useful results relating to the minimiz...

Please sign up or login with your details

Forgot password? Click here to reset