The resource constrained single-item inventory problem with demand-dependent unit cost

Kotb, K. A. M.

doi:10.1080/095372898233704

Cited by 5 publications

(3 citation statements)

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“…Teng and Yang [15] proposed a deterministic inventory lot-size models with time-varying demand and cost under generalized holding costs. Kotb [6 ] & Abou-El-Ata & Kotb [1]applied geometric programming approach to solve some inventory models with variable inventory costs. Shawky and Abou-El-Ata [2001] solved a constrained production lot size model with trade policy by geometric programming and Lagrangian methods.…”

Section: Introductionmentioning

confidence: 99%

Multi-item inventory lot-size model with increasing varying holding cost: A Karush-Kuhn-Tucker conditions approach

Kasthuri¹,

Seshaiah²

2014

ijma

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A Multi-item inventory model with increasing holding cost, under available limited storage space and total investment cost is considered in this paper. The varying holding cost is considered to be a continuous function of production quantity. A demand dependent on unit cost has been considered and this unit cost is taken in fuzzy environment. The model is solved using Kuhn-Tucker conditions method. The model is illustrated with a numerical example.

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Section: Introductionmentioning

confidence: 99%

Multi-item inventory lot-size model with increasing varying holding cost: A Karush-Kuhn-Tucker conditions approach

Kasthuri¹,

Seshaiah²

2014

ijma

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“…Fabrycky and Banks (1967) studied the probabilistic single-item, single source inventory system with zero lead-time, using the classical optimization. Also Hariri and Abou-El-Ata (1995;1997) and Kotb (1998) investigated the constrained deterministic inventory models using a geometric programming approach. Recently, Abou-El-Ata (2002) and Fergany (2005) introduced the probabilistic multiitem inventory system with zero lead time under constraints and varying order cost, using geometric programming approach.…”

Section: Introductionmentioning

confidence: 99%

Periodic Review Probabilistic Multi-Item Inventory System with Zero Lead Time under Constraint and Varying Holding Cost

El-Sodany¹

2011

Journal of Mathematics and Statistics

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Problem statement: This study treats the probabilistic safety stock n-items inventory system having varying holding cost and zero lead-time subject to linear constraint. Approach: The expected total cost is composed of three components: the average purchase cost; the expected order cost and the expected holding cost. Results: The policy variables for this model are the number of periods N*_r and the optimal maximum inventory level Q*_mr and the minimum expected total cost. Conclusion/Recommendations: We can obtain the optimal values of these policy variables by using the geometric programming approach. A special case is deduced and an illustrative numerical example is added

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“…For the review we can go through the work of The unit production cost is directly or indirectly related to the order quantity. Cheng (1989, 1991), Kotb (1998) …”

Section: Literature Reviewmentioning

confidence: 99%

An Inventory Model for Deteriorating Item with Reliability Consideration and Trade Credit

Singh

Rathore

2014

Pak.j.stat.oper.res.

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In todays global market every body want to buy products of high level quality and to achieve a high level product quality supplier have to invest in improving reliability of production process. In present article we have studies reliable production process with stock dependent unit production and holding cost. Demand is exponential function of time and infinite production process with non-instantaneous deterioration rate are considered in this paper. Whole study has been done under the effect of trade credit. The main objective of this paper is to optimize the total relevant cost for reliable production process. Numerical example and sensitivity analysis is given at the end of this paper.Keywords: Infinite production, Deterioration, Trade credit, Reliability, Inflation. Literature ReviewIn classical inventory models quality of produced items are assumed to be good. Whereas it is not always true. The quality of items directly or indirectly related to the production process. So now a day many organizations have started to invest in improving the reliability of production process. Recently researchers have started to concentrate on this concept. For the review we can go through the work of The unit production cost is directly or indirectly related to the order quantity. Cheng (1989, 1991), Kotb (1998)

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The resource constrained single-item inventory problem with demand-dependent unit cost

Cited by 5 publications

References 0 publications

Multi-item inventory lot-size model with increasing varying holding cost: A Karush-Kuhn-Tucker conditions approach

Multi-item inventory lot-size model with increasing varying holding cost: A Karush-Kuhn-Tucker conditions approach

Periodic Review Probabilistic Multi-Item Inventory System with Zero Lead Time under Constraint and Varying Holding Cost

An Inventory Model for Deteriorating Item with Reliability Consideration and Trade Credit

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