In this research we tackle the scheduling problem in additive manufacturing for unrelated parallel machines. Both nesting and aspects are considered. Parts have several alternative build orientations. The goal is to minimize total tardiness of parts. We propose a mixed-integer linear programming model which considers subproblem as 2D bin-packing problem, well simplifies 1D problem. computationa...

In this paper, single machine scheduling problems with sequence dependent setup times are considered. The objective is to minimize the total weighted tardiness. The single machine total weighted tardiness (SMTWT) scheduling problems with sequence dependent setup times were proved to be strongly NP-hard. A recently developed meta-heuristic algorithm called as crow search algorithm is proposed to...

This paper presents the fuzzy mixed-integer goal programming model for a single machine scheduling problem with bi-objectives consisting of the minimization of the total weighted flow time and total weighted tardiness. This model is solved by a fuzzy goal programming approach to verify and validate the proposed approach for the above problem. Two test problems in small and large sizes are gener...

We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomialtime algorithm to find the optimal job sequence, due date values and resource allocation minim...

This paper focuses on a stochastic scheduling problem in which n immediately available jobs are to be scheduled jointly with the preventive maintenance in a single machine subject to breakdowns. The objective is to minimize expected total earliness and tardiness costs with a common due-date. The problem of scheduling only n jobs to minimize total earliness and tardiness costs in a single machin...

The two-stage assembly flowshop scheduling problem is addressed with the objective of minimizing total tardiness. An insertion algorithm, a genetic algorithm, and a hybrid of the insertion and genetic algorithms, are developed for the problem. Conducted computational experiments reveal that the hybrid algorithm significantly outperforms the genetic algorithm while the best performing algorithm ...

In this paper, the non-permutation flow shop scheduling problem with preemption-dependent processing times is considered. A mixed integer programming formulation is proposed to tackle the problem. The optimization objective considered is the minimization of the total tardiness. The model is tested against random instances. The results allow us to identify the effect of some parameters such as c...

A novel algorithm for one machine scheduling to minimize total weighted earliness and tardiness using particle swarm optimization is proposed. Existing techniques face challenges such as job size limitations increase in computational time and inaccurate solutions. To overcome these challenges the proposed work implements Meta-Heuristic based particle swarm optimization to optimize the total wei...

The family scheduling problems involve multiple job types where jobs are classified into specific families by their similarity characteristics. Within this class of problems, the single machine family scheduling problem to minimize total tardiness is at least binary NP-Hard. In this paper, we consider the case where jobs in the same family need not be processed together and develop a hybrid gen...

The purpose of this paper is to propose a new branch-and-bound algorithm for a class of scheduling problems to minimize total tardiness on identical parallel machines. In this algorithm, Lagrangian relaxation technique is applied to obtain a tight lower bound. In addition, the job dominance conditions for the single machine total tardiness problem are utilized for both restricting branches and ...