EPQ models with varying setup cost

Darwish, Mohammed A.

doi:10.1016/j.ijpe.2007.07.010

Cited by 43 publications

(37 citation statements)

References 34 publications

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“…Our choice has several advantages: it saves much computer time; its results can be verified through the analytical EOQ solution (in practice, simulation is used because there is no known analytical solution); yet this EOQ simulation enables us to illustrate some details of our methodology. (The EOQ model is closely related to the Economic Production Quantity or EPQ; see Darwish (2008). The EOQ model is also a building block for realistic supply chain simulations.…”

Section: Do)mentioning

confidence: 99%

Robust Optimization in Simulation: Taguchi and Response Surface Methodology

2008

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Optimization of simulated systems is tackled by many methods, but most methods assume known environments. This article, however, develops a 'robust' methodology for uncertain environments. This methodology uses Taguchi's view of the uncertain world, but replaces his statistical techniques by Response Surface Methodology (RSM). George Box originated RSM, and Douglas Montgomery recently extended RSM to robust optimization of real (non-simulated) systems. We combine Taguchi's view with RSM for simulated systems. We illustrate the resulting methodology through classic Economic Order Quantity (EOQ) inventory models, which demonstrate that robust optimization may require order quantities that differ from the classic EOQ.

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Section: Do)mentioning

confidence: 99%

Robust Optimization in Simulation: Taguchi and Response Surface Methodology

2008

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“…Hariga (1996) developed optimal inventory lotsizing models for deteriorating items with general continuous time-varying demand over a finite planning horizon and under three replenishment policies. Darwish (2008) extended the classical EPQ model by considering a relationship between setup cost and the production run length. The results show that the relationship between the cost function and the production time can have a signification effect on the economical production quantity and the average amount of the total cost in EPQ classic model.…”

Section: Literature Reviewmentioning

confidence: 99%

“…This is because there is no deterioration in the inventory item until that point of time; after the time point T 0 , deterioration commences and more effort and sophisticated storage facilities and services are needed, consequently increasing the holding cost. To determine this relation, the following equation is modified from that of Darwish (2008) and Jaber and Bonney (2003).…”

Section: Models Developmentmentioning

confidence: 99%

Developing EPQ models for non-instantaneous deteriorating items

Ghasemi

2015

J Ind Eng Int

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In this paper, the classical economic production quantity (EPQ) model is developed for non-instantaneous deteriorating items by considering a relationship between the holding cost and the ordering cycle length. Two models are developed. First, the proposed model is considered when backorders are not permitted and this condition is waived for the second case. The cost functions associated with these models are proved to be convex and an algorithm is designed to find the optimum solutions of the proposed model. Results show that the relationship between holding cost and ordering cycle length has a significant impact on the optimal lot size and total cost in the EPQ model. Numerical examples are presented to demonstrate the utility of the models.

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“…Islam and Roy (2007) considered an EPQ model with cost-dependent demand, space constraint and fuzzy parameters. Darwish (2008) developed EPQ models to consider different setup costs with backordering. Ouyang and Rau (2008) developed an EPQ model with linear and exponentially decreasing unit production costs.…”

Section: Introductionmentioning

confidence: 99%

Multi products single machine economic production quantity model with multiple batch size

Taleizadeh¹,

Widyadana²,

Wee³

et al. 2011

IJIEC

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In this paper, a multi products single machine economic production quantity model with discrete delivery is developed. A unique cycle length is considered for all produced items with an assumption that all products are manufactured on a single machine with a limited capacity. The proposed model considers different items such as production, setup, holding, and transportation costs. The resulted model is formulated as a mixed integer nonlinear programming model. Harmony search algorithm, extended cutting plane and particle swarm optimization methods are used to solve the proposed model. Two numerical examples are used to analyze and to evaluate the performance of the proposed model.

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EPQ models with varying setup cost

Cited by 43 publications

References 34 publications

Robust Optimization in Simulation: Taguchi and Response Surface Methodology

Robust Optimization in Simulation: Taguchi and Response Surface Methodology

Developing EPQ models for non-instantaneous deteriorating items

Multi products single machine economic production quantity model with multiple batch size

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