A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints

Nobil, Amir Hossein; Sedigh, Amir Hosein Afshar; Cárdenas–Barrón, Leopoldo Eduardo

doi:10.1007/s10479-017-2650-9

Cited by 38 publications

(19 citation statements)

References 70 publications

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“…Besides, all goods are made on one facility/machine with a common cycle length. In other words, = = = = ⋯ = (for instance see: Pasandideh et al, 2015;Nobil et al, 2017b). Therefore,…”

Section: Multi-item Single-machine Emq Problemmentioning

confidence: 99%

“…The study assumed that the price of each item followed a random distribution and customers' demand was a linearly decreasing function of price. Nobil et al (2017b) studied discrete delivery shipment in a multi-echelon supply chain. Nobil et al (2019) proposed a defective manufacturing system with permissible shortages, scrap and rework for an ELSP.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

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Economic lot-size problem for a cleaner manufacturing system with warm-up period

2020

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There are instances that production machines require a warm-up period to reach their anticipated productivity. This study extends an economic manufacturing quantity (EMQ) problem by considering warm-up issue in the model. Warming up the machine decreases production loss, emission, and machine depreciation. Therefore, this study helps industry to enhance the profitability and also to reduce the environmental impact by decreasing waste generation and improving machine efficiency. In this study, we divide our system into three subsystems based on the relationships between production and consumption. Then we provide a mathematical model for each subsystem (three in total). The first two models are single-item EMQ inventory problems and the third one is a multi-item single-machine EMQ problem. In the third model, a machine/facility manufactures some items under a limited manufacturing volume. The purpose of these proposed models is to find the optimum cycle length to minimize the total system cost that consists of manufacturing, inventory and setup costs. Finally, we propose exact solution procedures after proving the convexity of these mathematical models.

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“…Besides, all goods are made on one facility/machine with a common cycle length. In other words, = = = = ⋯ = (for instance see: Pasandideh et al, 2015;Nobil et al, 2017b). Therefore,…”

Section: Multi-item Single-machine Emq Problemmentioning

confidence: 99%

Section: Introduction and Literature Reviewmentioning

confidence: 99%

Economic lot-size problem for a cleaner manufacturing system with warm-up period

2020

Self Cite

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“…As a result, researchers are now extending this model in different directions by relaxing the assumptions of the model. For example, Nobil et al (2020) extend the traditional EPQ model by considering a multi-product single machine EPQ model where different products have different production and demand rates. Cárdenas-Barrón and Sana (2014) develop a production-inventory model for a supply chain system consisting of a manufacturer and a retailer.…”

Section: Literature Reviewmentioning

confidence: 99%

A Markovian production-inventory system with consideration of random quality disruption

Karim

Nakade

2020

JAMDSM

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In this paper, we develop a stochastic model for an imperfect production-inventory system that faces random quality disruption and has limited time for production. In each time planning horizon, the inventory level is affected by product quality disruption. When the production system switches to the 'out-of-control' state from the 'in-control' state, it starts producing some defective products along with defect-free products, and this switching time is stochastic. The process of the inventory levels at the start of the time horizon is expressed by using a finite and continuous state continuous-time Markov process. We construct mathematical expressions of the transition probability, the steady-state probability, and the long-run average cost. Through a numerical experiment, the near-optimal solution is achieved. The outcome shows that under the situation of production time constraint, the integration of safety stock in an interruption prone production-inventory system, assists in improving the average cost function. The results also show that the optimal safety stock is large when the defect percentage, or the production switching rate, or the shortage cost is very high. Conversely, the small safety stock is desirable when the inventory holding cost or the rework cost is high.

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“…The authors analyzed the changes in the results of the optimal solutions where defective-rate follows either a uniform or a normal probability distribution. Other related papers including Chang et al [23], Pal et al [24], Mahata and Mahata [25], Nobil et al [26] and Pasandideh et al [27] considered some optimization methods for solving different inventory problems. Taleizadeh et al [28] developed a multi-item single machine production inventory model with the assumptions of restricted common cycle time and remanufacturing, backordering and machine failure.…”

Section: Introductionmentioning

confidence: 99%

An analysis of multi-item inventory model using particle swarm optimization under discrete delivery orders and limited storage space

Öztürk

Şenel

2019

ijisae

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This study explores an economic production quantity (EPQ) model designed with the assumptions of discrete delivery orders and storage capacity constraints for a multi-item production inventory system. The main purpose of this study is to determine the optimal order quantity, the optimal number of deliveries and the optimal delivery quantity. First, the developed model as part of this study is analyzed using Genetic Algorithm (GA). Numerical analysis results are compared with those of previous studies and it was found that it is possible to have better results with an increasing number of iteration. The same model is then analyzed using Particle Swarm Optimization (PSO) algorithm. A comparison of the optimization methods showed that PSO gives better results over the GA under the same number of iterations and using the same population. The effects of important model parameters such as number of iterations, population, crossover, mutation rate on the optimal solution are analyzed. The results showed that PSO performs better than the GA with respect to the total cost and the total runtime as the solution of the problem in question.

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A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints

Cited by 38 publications

References 70 publications

Economic lot-size problem for a cleaner manufacturing system with warm-up period

Economic lot-size problem for a cleaner manufacturing system with warm-up period

A Markovian production-inventory system with consideration of random quality disruption

An analysis of multi-item inventory model using particle swarm optimization under discrete delivery orders and limited storage space

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