An exact extended formulation for the unrelated parallel machine total weighted completion time problem

An exact extended formulation for the unrelated parallel machine total weighted completion time problem

Abstract: The plethora of research on NP-hard parallel machine scheduling problems is focused on heuristics due to the theoretically and practically challenging nature of these problems. Only a handful of exact approaches are available in the literature, and most of these suffer from scalability issues. Moreover, the majority of the papers on the subject are restricted to the identical parallel...

A Novel B and B Algorithm for a Unrelated Parallel Machine Scheduling Problem to Minimize the Total Weighted Tardiness

This paper presents a scheduling problem with unrelated parallel machines and sequencedependent setup times that minimizes the total weighted tardiness. A new branch-and-bound (B and B) algorithm is designed incorporating the lower and upper bounding schemes and several dominance properties. The lower and upper bounds are derived through an assignment problem and the composite dispatching rule ...

Minimizing total weighted completion time approximately for the parallel machine problem with a single server

In this paper, we consider the scheduling problem of minimizing total weighted job completion time when a set of jobs has to be processed on a set of m parallel identical machines with a common server. We propose an approximation algorithm with a worst-case ratio of 3− 1 m . This result improves an existing (5− 1 m ) approximation algorithm given by Wang and Cheng (2001).

Two agents single machine scheduling problem with total completion time and total weighted completion time objectives

Unrelated parallel-machine scheduling with deteriorating maintenance activities to minimize the total completion time

We study the problem of unrelated parallel-machine scheduling with deteriorating maintenance activities. Each machine has at most one maintenance activity, which can be performed at any time throughout the planning horizon. The length of the maintenance activity increases linearly with its starting time. The objective is to minimize the total completion time or the total machine load. We show t...