Title: MIP-based heuristic algorithm for finite capacity MRP problem in hybrid flow shop with unrelated parallel machines

Authors: Watchara Songserm; Teeradej Wuttipornpun

Addresses: Department of Mechatronics and Automated Manufacturing Systems Engineering, Rajamangala University of Technology Phra Nakhon, 1381 Pracharat 1 Road, Wongsawang, Bangsue, Bangkok 10800, Thailand ' Department of Industrial Engineering, King Mongkut's University of Technology North Bangkok, 1518 Pracharat 1 Road, Wongsawang, Bangsue, Bangkok 10800, Thailand

Abstract: A main drawback of the material requirement planning (MRP) system is that it assumes fixed lead time, resulting in capacity problems recently called finite capacity material requirement planning (FCMRP). This paper proposes a mixed integer programming (MIP)-based heuristic algorithm that can solve the industrial scale FCMRP problem in hybrid flow shop with unrelated parallel machines. The heuristic is applied to construct an initial sequence of operations, whereas the MIP model is applied to determine the optimal machines and start times for the operations based on the initial sequence. The objective is to minimise the total cost, defined as the sum of tardiness, earliness, idle time, and work in process (WIP) holding costs. Performances of the proposed algorithm are evaluated using real data from automotive industries. The result shows that the total cost of the proposed algorithm are substantially reduced compared with the recent FCMRP algorithm (HGATS). Moreover, the required runtime is within a practical limit.

Keywords: mixed integer programming; MIP; finite capacity material requirement planning; FCMRP; hybrid flow shop; unrelated parallel machines; application in industry.

DOI: 10.1504/IJISE.2019.102470

International Journal of Industrial and Systems Engineering, 2019 Vol.33 No.2, pp.181 - 203

Received: 15 Apr 2017
Accepted: 02 Feb 2018
Published online: 27 Sep 2019 *

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