Abstract

The GP model was developed for production planning in a toothpaste factory. Two objectives were distinguished: minimization of processing cost, and maximization of the capacity utilization of production facilities. Two priority structures were used to explore the trade-off options. When processing cost minimization was assigned the first priority, the utilizations of Processing Plant 1 and Filling Machine 2 were 20.32% and 0.18% respectively. When capacity utilization was assigned first priority, the processing cost increased by 7.55% but capacity utilization improved. The least utilized facility was Filling Machine 1 with a utilization of 43.85%. OPSOMMING Die GP-model is ontwikkel vir die beplanning van produksie van ‘n tandepastafabriek. Twee doelwitte is gestel vir die beplanning naamlik minimisering van produksiekoste, en maksimering van prosesbesetting. Wanneer minimisering van koste gebruik word as eerste prioriteit is die besettingswaardes van prosesseringaanleg 1 20.32% en van vulmasjien 2 0.18%. Wanneer prosesbesetting gebruik word as eerste prioriteit neem die proseskoste toe met 7.55% en styg die prosesbesetting. Vulmasjien 1 se gevolglike besetting was 43.85%.

Highlights

  • The problem that is the focus of this paper is the development of a model for material mix in a multi-stage multi-facility production system

  • The decision-making process utilized in this study considers two key objectives of the firm: (i) minimizing the total cost of production, and (ii) maximizing the capacity utilization of the production facilities

  • The capacity utilization function is the summation of individual utilization factor

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Summary

INTRODUCTION

The problem that is the focus of this paper is the development of a model for material mix in a multi-stage multi-facility production system This type of problem is often encountered in food, drug, and chemical industries. The decision-making process utilized in this study considers two key objectives of the firm: (i) minimizing the total cost of production, and (ii) maximizing the capacity utilization of the production facilities. Since these objectives may be mutually incompatible, it may be impossible to optimize with respect to all the objectives (Sundraham, [1], Zanakis et al [2], and Zaloom, et al, [3]). The GP procedure provides a method for minimizing these deviations and for dealing with them in the rank order specified, while not violating the technological constraints

PROCESS DESCRIPTION
Assumptions of the model
Notations xijk
The cost minimization objective Z1:
Maximization of capacity utilization Z2
Capacity constraint
Material proportion constraints
Material Balance Constraints
Aspiration level
Pre-emptive GP
OF RESULTS
Findings
CONCLUSION
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