Abstract:
Cell Formation (CF) is the initial step in the configuration of cell assembling
frameworks. This paper proposes a new mathematical model for the CF problem
considering aspects of production planning, namely inventory, backorder, and
subcontracting. In this paper, for the first time, backorder is considered in cell
formation problem. The main objective is to minimize the total fixed and variable
costs, including the machine related costs, intercellular movements, deviation
between the levels of cell utilizations, inventory, backorder, and sub-contracting
costs. The presented mathematical model is validated using GAMS software, and
various test problems are solved by Genetic Algorithm (GA) and Discrete Particle
Swarm Optimization (DPSO) algorithm. The performance of the algorithms is
compared with the results obtained by the GAMS. The results demonstrate, there is
no significant difference between the results of algorithms. Finally, some sensitive
analyses are carried out to analyze the effects of backorder and inventory holding
costs.
Machine summary:
"A New Mathematical Model in Cell Formation Problem with Consideration of Inventory and Backorder: Genetic and Particle Swarm Optimization Algorithms Masoud Rabbani1*, Mahyar Taheri Bavil Oliaei1, Hamed Farrokhi-Asl2, Mahdi Mobini1 1.
(View the image of this page) This paper addresses the Cell Formation Problem (CFP) which is extended by considering aspects of production planning such as inventory, backorder, and subcontracting.
The objective function of the proposed model consists of minimizing the total fixed and variable costs including the purchasing, operation, and maintenance costs, inter-cell movement costs, minimizing the backorder, inventory and subcontracting costs, and minimizing the costs of deviations between the levels of cell utilization.
Besides the innovation in the proposed model, for the first time, the effects of inventory holding and backorder costs on cellular manufacturing problem have been considered.
The results of the numerical experiments and the sensitivity analyses demonstrate that considering inventory and backorder has a significant effect on the optimum solution of the cell formation problem, because they provide the condition in which some portion of the demand of a period can be satisfied in a prior or subsequent period."