In hybrid flow shop scheduling problem (HFS) with unrelated parallel machines, a set of n jobs are processed on k machines. A mixed integer linear programming (MILP) model for the HFS scheduling problems with unrelated parallel machines has been proposed to minimize the maximum completion time (makespan). Since the problem is shown to be NP-complete, it is necessary to use heuristic methods to ...

In this paper, a Branch-and-Bound (B&B) algorithm is presented to solve the problem of minimizing the maximum completion time Cmax on unrelated parallel machines with machine eligibility restrictions when job preemption is not allowed. A customized lower bound, a search and a branching strategy are developed for the B&B. A machine eligibility factor is also introduced to represent the percentag...

In this paper, we provide a new class of randomized approximation algorithms for scheduling problems by directly interpreting solutions to so-called time-indexed LPs as probabilities. The most general model we consider is scheduling unrelated parallel machines with release dates (or even network scheduling) so as to minimize the average weighted completion time. The crucial idea for these multi...

In this paper we deal with the problem of assigning a set of n jobs, with release dates and tails, to either one of two unrelated parallel machines and scheduling each machine so that the makespan is minimized. This problem will be denoted by R2jri; qijCmax. The model generalizes the problem on one machine 1jri; qijCmax, for which a very ecient algorithm exists. In this paper we describe a Bra...

<p style='text-indent:20px;'>In today's competitive world, scheduling problems are one of the most important and vital issues. In this study, a bi-objective unrelated parallel machine problem with worker allocation, sequence dependent setup times, precedence constraints, eligibility is presented. The objective functions to minimize costs tardiness hiring workers. order formulate proposed ...

This paper considers the minimization of makespan in unrelated parallel batch processing machines scheduling problem with considering non-identical job size and dynamic ready time. The considered have different capacity speed. Each machine processes a number jobs as at same time so that machine’s is not exceeded. are equal to largest batch, respectively. In this paper, Mixed Integer Linear Prog...