Abstract

This article considers a two-stage assembly scheduling problem (TSASP) with batch setup times, time-dependent deterioration, and preventive maintenance activities (PMAs). The objective of this problem is to simultaneously determine the optimal component-manufacturing sequence (CMS), product-assembly sequence (PAS), number of setups, and number and position of PMAs (PPMA). First, to determine the optimal solution, a novel mixed integer linear programming model (MILP) for the proposed problem is derived. Then, a standard genetic algorithm (SGA), hybrid genetic algorithm (HGA), standard harmony search (SHS), hybrid harmony search (HHS), and harmony-search-based evolutionary algorithm (HSEA) were proposed owing to the intractability of the optimal solution for large-scale problems. SGA and SHS provide a chromosome to represent a complete solution including three decisions (CMS, PAS, and PPMA). HGA, HHS, and HSEA provide a chromosome to represent a partial solution including PAS. CMS and PPMA are found by an effective local search heuristic based on the partial solution. A computational experiment is then conducted to evaluate the impacts of the factors on the performance of the proposed algorithms.

Highlights

  • The two-stage assembly scheduling problem (TSASP) is one of the most widely studied scheduling problems in the literature and has many applications in the industry

  • Similar to hybrid genetic algorithm (HGA), the harmony vector of hybrid harmony search (HHS) consists of a one-dimensional string array that represents a product-assembly sequence (PAS) and the other partial solutions (CMS and position of PMAs (PPMA)) are determined by BSD using the partial solution decoded from the solution structure

  • Since the complexity of a problem highly depends upon the length of componentmanufacturing sequence (CMS) |L|, several instances of two problem groups of small and largescale problems are randomly generated according to |L|

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Summary

Introduction

The two-stage assembly scheduling problem (TSASP) is one of the most widely studied scheduling problems in the literature and has many applications in the industry. Jung et al [13] proposed two hybrid genetic algorithms (HGAs) for twostage assembly scheduling problem (TSASP) for processing products with dynamic-component sizes and a setup time. They had the same two-stage assembly structure with our study. To the best of our knowledge, no available effective metaheuristic algorithms are capable of generating a nearoptimal solution while the TSASP simultaneously considering batch setup times, time-dependent deterioration, and PMAs. The remainder of this article is organized as follows. A novel MILP model is developed to minimize the makespan for the TSASP with batch setup times, deterioration, and PMAs. The problem statement of this problem has been applied the dynamic-component size.

Metaheuristics
Computational Results
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