Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework

Cárdenas–Barrón, Leopoldo Eduardo; Sarkar, Biswajit; Treviño-Garza, Gerardo

doi:10.3390/mca18020132

Cited by 26 publications

(13 citation statements)

References 27 publications

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“…Consideration of controllable production rate of the manufacturing system [25][26][27] can be the immediate possible extensions. Other potential extensions may include planned backlogging [28,29], partial backlogging [30][31][32], trade credit policies [33,34], random defective rate [35,36], product deterioration [37], and constrained manufacturing environment [38] in the production system.…”

Section: Discussionmentioning

confidence: 99%

Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty

2018

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Optimal lot sizing is the primary tool applied by lean practitioners to reduce inconsistency in the manufacturing system to cut down inventories, which are often considered as a type of waste in the lean culture. Managers attempt to consider environmental impacts of the manufacturing system and find ways to reduce these effects while making efforts to achieve environmental protection. From a sustainability standpoint, carbon emissions are the major source of environmental contamination and degradation. In this context, this research provides an economic production quantity model with uncertain demand and process information in a multistage manufacturing process. This imperfect manufacturing process produces defective products at an uncertain rate, and is reworked to convert them into perfect quality products and reduce wastages. To control this uncertainty in the manufacturing process, the decomposition principle and the signed distance method of fuzzy theory are applied. The manufacturing process is analyzed with regard to environmental concerns, and a sustainable lot size is obtained through an interactive Weighted Fuzzy Goal Programming (WFGP) approach for the simultaneous achievement of economic and environmental sustainability. An experimental study is performed to verify the practical implication of the model, and results are evaluated through a sensitivity analysis. Important managerial insights and graphical illustrations are provided to elaborate the model.

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Section: Discussionmentioning

confidence: 99%

Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty

2018

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“…Over the years, the supply chain has been studied by many researchers [2,3]. Today's research is interested in focusing on the extensive use of the supply chain, such as making production strategies [4], developing procurement plans [5], pricing [6,7], financing [8][9][10]. Many types of supply chains are analyzed, e.g., a cash-constrained supply chain, a simple two-level supply chain [11], a supply chain with two products.…”

Section: Motivationmentioning

confidence: 99%

Optimal Financing Decisions of Two Cash-Constrained Supply Chains with Complementary Products

Chen

Xin

2016

Sustainability

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Abstract:In recent years; financing difficulties have been obsessed small and medium enterprises (SMEs); especially emerging SMEs. Inter-members' joint financing within a supply chain is one of solutions for SMEs. How about members' joint financing of inter-supply chains? In order to answer the question, we firstly employ the Stackelberg game to propose three kinds of financing decision models of two cash-constrained supply chains with complementary products. Secondly, we analyze qualitatively these models and find the joint financing decision of the two supply chains is the most optimal one. Lastly, we conduct some numerical simulations not only to illustrate above results but also to find that the larger are cross-price sensitivity coefficients; the higher is the motivation for participants to make joint financing decisions; and the more are profits for them to gain.

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“…In the literature there are few research publications in the two ware-house inventory model with defective items like as Rad [45], Pal[44] etc . In the literature there are some notable works in the area of rework of the imperfect product such as Cardenas-Barron [ [10][11] [12]], Taleizadeh [[54], [55]], Sarkar [53], Wee [58] etc. In imperfect production-inventory models, reliability of the production process is considered in different ways.…”

Section: Introductionmentioning

confidence: 99%

A multi-item EPQ model with imperfect production process for time varying demand with shortages

Majumder¹,

Bera²,

Maiti³

2015

HJMS

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In this paper, economic production quantity(EPQ)models for breakable or deteriorating items are developed with time dependent linear variable demands. Here rate of production and holding cost are time dependent and unit production cost is a function of both production reliability indicator and production rate. Set-up cost is also partially production rate dependent.The production process produces some imperfect quantities which are instantly reworked at a cost to bring back those units to perfect ones. Ultimately, the production process depends on both time and reliability indicator. Here two models are developed in optimal control framework considering the effect of time value of money and inflation. Shortages are allowed for both the models. The first model consists of two items and the second model is of single item. For the first model, a budget constraint is considered. For both the models, total profit function are calculated with the effect of inflation and time value of money in a finite integral over a finite planning horizon.The problems are solved using Eulers-Lagrangian function based on variational calculus and applying generalized reduced gradient method using LINGO 13.0 software to determine the optimal reliability indicator (r) and then corresponding production rates and total profits. From the above two breakable models, other ten models are obtained as particular cases, out of which two are with stock dependent breakability/deterioration and another two are simple EPQ models without breakability.Out of these particular cases two models are of constant demand,two models are of constant holding cost and two models are of constant setup cost. Numerical experiments are performed for both the models to illustrate the models both numerically and graphically.

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Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework

Cited by 26 publications

References 27 publications

Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty

Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty

Optimal Financing Decisions of Two Cash-Constrained Supply Chains with Complementary Products

A multi-item EPQ model with imperfect production process for time varying demand with shortages

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