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Multiproduct EPQ model with single machine, backordering and immediate rework process
, Article European Journal of Industrial Engineering ; Volume 5, Issue 4 , 2011 , Pages 388-411 ; 17515254 (ISSN) ; Sadjadi, S. J ; Niaki, S. T. A ; Sharif University of Technology
Abstract
Production systems with scrapped and rework items have recently become an interesting subject of research. While most attempts have been focused on finding the optimal production quantity in a simple production system, little work appears on a joint production environment. In this research, two joint production systems in a form of multiproduct single machine with and without rework are studied where shortage is allowed and backordered. For each system, the optimal cycle length, the backordered and production quantities of each product are determined such that the cost function is minimised. Proof of the convexity of the involved objective functions of each model is provided and numerical...
Economic production quantity model with scrapped items and limited production capacity
, Article Scientia Iranica ; Volume 17, Issue 1 E , 2010 , Pages 58-69 ; 10263098 (ISSN) ; Najafi, A. A ; Akhavan Niaki, S.T ; Sharif University of Technology
2010
Abstract
In this paper, an Economic Production Quantity (EPQ) model is studied, in which the production defective-rate follows either a uniform or a normal probability distribution. Shortages are allowed and take a backorder state, and the existence of only one machine causes a limited production capacity for the common cycle length of all products. The aim of this research is to determine the optimal production quantity of each product, such that the expected total cost including holding, shortage, production, setup and defective items cost is minimized. The mathematical model of the problem is derived, for which the objective function is proved to be convex. Then, a derivative approach is utilized...
Multiproduct single-machine production system with stochastic scrapped production rate, partial backordering and service level constraint
, Article Journal of Computational and Applied Mathematics ; Volume 233, Issue 8 , 2010 , Pages 1834-1849 ; 03770427 (ISSN) ; Akhavan Niaki, S. T ; Najafi, A. A ; Sharif University of Technology
Abstract
In this paper, a multiproduct single-machine production system under economic production quantity (EPQ) model is studied in which the existence of only one machine causes a limited production capacity for the common cycle length of all products, the production defective rates are random variables, shortages are allowed and take a combination of backorder and lost sale, and there is a service rate constraint for the company. The aim of this research is to determine the optimal production quantity, the allowable shortage level, and the period length of each product such that the expected total cost, including holding, shortage, production, setup and defective items costs, is minimized. The...