Economic Production Lot Size Model with Variable Production Rate and Imperfect Quality

Khouja, Moutaz; Mehrez, Abraham

doi:10.1038/sj/jors/0451207

Cited by 25 publications

(33 citation statements)

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“…In the basic supply chain model, the rate of production was assumed as constant. However, in many cases, the machine production rate may easily change [9]. Machine tool cost also increases with increasing production rate.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The elapsed time until the production process reaches to the out-of-control" state was considered to be a negative exponentially distributed random variable with mean 1/µ. [9] reconsidered the [12] work and assumed the mean of the negative exponentially distributed random variable as a function of production rate, namely, quality function. They introduced a linear and quadratic from which are increasing function of production rate.…”

Section: Literature Reviewmentioning

confidence: 99%

“…They introduced a linear and quadratic from which are increasing function of production rate. This study is motivated from the idea of [9]. [23] developed an effects of variable production rate on quality of products in a single-vendor multi-buyer supply chain management.…”

Section: Literature Reviewmentioning

confidence: 99%

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Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost

Hemapriya

Uthayakumar

2020

RAIRO-Oper. Res.

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A predetermined production rate in a supply chain model with economic production lot size is quite appropriate for this type of situations as production rate can be changed in some cases to fulfill demand of customers. This paper investigates an integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. As a rate of production has a direct impact on system performance, the production rate is considered as a variable along with the production cost. This production process gone through a long run system as a result after some specific time the production gone out-of-control state due to different issues and produced defective items. In addition, we consider that the defective follows three types of probability distribution function such as, (i) uniform, (ii) triangular and (iii) beta distributions. Two types of lead time crashed concept considering in this model and also we consider three types of continuous probabilistic defective function to find the associated cost of the system. The main objective is to find an optimal solution for an order quantity, safety factor, production cost, setup cost and to analyze how the flexibility of the production rate affects the process quality. An efficient iterative algorithm is designed to obtain the optimal solution of the model numerically and sensitivity analysis table formulate to show the impact of different parameter

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

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Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost

Hemapriya

Uthayakumar

2020

RAIRO-Oper. Res.

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“…Here equal weightage has been given to the left and right parts of the membership function. The representation given by (22) can be generalized/modified by replacing An EPQ model for Breakable Item under Imperfect Production Process…”

Section: Appendix-amentioning

confidence: 99%

“…Khouja and Mehrez [22] presented a classical inventory model and showed that the optimal production rate is smaller than the production rate which minimizes the unit production cost.…”

Section: Introductionmentioning

confidence: 99%

An EPQ model for Breakable Item under Imperfect Production Process

Kundu¹,

Guchhait²,

Panigrahi³

et al. 2018

APAM

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In the present investigation, an economic production quantity (EPQ) model for breakable item has been developed with time-sensitive demand and breakability rate. Production process is not perfect and as a result, produces some imperfect quality units. Breakability rate of the item starts above a certain stock level and increases with time as well as stock level. Planning horizon is assumed to be stochastic in nature and follows normal distribution with a known mean and standard deviation. Production cost per unit depends on the production rate and is derived from the particular production function under which it is being produced. As the present competitive market situation is full of uncertainty, another model is developed with the consideration of inventory parameters as fuzzy in nature and obtained results are presented. Numerical experiments are performed to illustrate the model.

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Multi-objective casting production scheduling problem by a neighborhood structure enhanced discrete NSGA-II: an application from real-world workshop

et al. 2022

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Casting production scheduling problem (CPSP) has attracted increasing research attention in recent years to facilitate the profits, efficiency, and environment issues of casting industry. Casting is often characterized by the properties of intensive energy consumption and complex process routes, which motivate the in-depth investigation on construction of practical multiobjective scheduling models and development of effective algorithms. In this paper, for the first time, the multi-objective casting production scheduling problem (MOCPSP) is constructed to simultaneously minimize objectives of defective rate, makespan, 10 and total energy consumption. Moreover, a neighborhood structure enhanced discrete NSGA-II (N-NSGA-II) is designed to better cope with the proposed MOCPSP. In the N-NSGA-II, the advantage of selection mechanism of NSGA-II is fully utilized for selecting non-dominate solution, three neighborhood structures are elaborately designed to strengthen the ability of the local search, and a novel solution generating approach is proposed to increase the diversity of solutions for global search. Finally, a real-world case is illustrated to evaluate the performance of the N-NSGA-II. Computational results show that the proposed 15 N-NSGA-II obtains a wider range of non-dominated solutions with better quality compared to other well-known multi-objective algorithms.

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Economic Production Lot Size Model with Variable Production Rate and Imperfect Quality

Cited by 25 publications

References 0 publications

Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost

Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost

An EPQ model for Breakable Item under Imperfect Production Process

Multi-objective casting production scheduling problem by a neighborhood structure enhanced discrete NSGA-II: an application from real-world workshop

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