Mathematical modelling of the effect of human learning in the finite production inventory model

Salameh, Moueen K.; Abdul-Malak, Mohamed-Asem; Jaber, Mohamad Y.

doi:10.1016/0307-904x(93)90070-w

Cited by 65 publications

(46 citation statements)

References 1 publication

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“…Argote et al (1990) discussed about the factors in which the rate of learning vary in different situations. Salameh et al (1993) considered a limited manufacture stock form (Production inventory model) with the outcome of human knowledge and also discussed variable demand rate and learning in time to optimize the cost. Jaber et al (1996a) explained the theory of forgetting using manufacture breaks, learning curve and discussed optimal manufacture amount and minimized the whole stock price.…”

Section: Introductionmentioning

confidence: 99%

Effects of learning on retailer ordering policy for imperfect quality items with trade credit financing

Jayaswal¹,

Sangal²,

Mittal³

et al. 2019

10.5267/j.uscm

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Learning curves monitor the performance of workers for the given new task as well as it is a mathematical representation of the same learning process which can be analyzed after frequent repetitions. Now-a-days learning curve is a promotion effective tool for management concern with designing and controlling the process of imperfect production and redesigning unbalanced business operations in the production of goods or services related to scheduling, uncontrolled inventory management, quality management as well as inspection. Learning effect has direct impact in calculation of profit or loss. Generally, a business seller, in order to increase his sale prefers to lend his products to buyers for a definite period of time. There is no penalty before or during this definite time period however after the duration of lending time period is over, he will assign some extra charges. For this action, seller offers a trade credit financing period to his buyer. Assuming when buyer receives a lot he separates the defective and non-defective items by a screening process and defective items are then sold at a discounted price. The percentage of defective items decreases per lot according to learning curve. Seller too plans which condition is beneficial for good co-ordination of retailers and analysts. Different cases are explained broadly in this model to get maximum profit. In this paper, a fiscal construction feature model for imperfect quality items with trade credit policy is analyzed under the effects of learning. Total profit function per cycle has been derived with the help of involvement of different costs and related parameters for the retailers and a numerical example given ahead shows the verification of results. The impacts of key parameters of the model are studied by sensitivity analysts to deduce managerial insights.ensee Growing Science, Canada by the authors; lic 9 © 201

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Section: Introductionmentioning

confidence: 99%

Effects of learning on retailer ordering policy for imperfect quality items with trade credit financing

Jayaswal¹,

Sangal²,

Mittal³

et al. 2019

10.5267/j.uscm

View full text Add to dashboard Cite

show abstract

“…In literature (Salameh et al (1993)), this performance improvement phenomenon is known as learning effect. Increased familiarization with the work environment and operation tasks, more proficient utilization of tools and machines, increased skills, and enhanced management efficiency are some factors of performance improvement.…”

Section: Introductionmentioning

confidence: 99%

“…So, it is fruitful to consider the phenomenon of learning effect in inventory system especially for those industries deals with such type of businesses. Salameh et al (1993) investigated the learning phenomenon in a production-inventory model and analyzed its effect on both optimum production quantity and minimum inventory total cost. Jaber and Salameh (1995) extended Salameh et al (1993) model by allowing shortages which were fully backlogged.…”

Section: Introductionmentioning

confidence: 99%

“…Salameh et al (1993) investigated the learning phenomenon in a production-inventory model and analyzed its effect on both optimum production quantity and minimum inventory total cost. Jaber and Salameh (1995) extended Salameh et al (1993) model by allowing shortages which were fully backlogged. Jaber and Guiffrida (2004) developed production-inventory model by incorporating a composite learning curve, which is the sum of two learning curves.…”

Section: Introductionmentioning

confidence: 99%

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Integrated model with imperfect production process under the effect of learning

Yadav¹,

Singh²,

Vandana³

2018

Malaya J. Mat.

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A multi-item production-inventory model for a two-echelon supply chain model is developed in this paper. In supply chain we consider two players one is manufacturer and other is retailer. In the proposed model it is assumed that manufacturing process in not perfect and unit manufacturing cost is the function of production rate. During transportation, due to improper handling lot received by the retailer contains imperfect items. So, to maintain the goodwill in market screening process is carried out at retailer ends. Due to learning phenomenon, percentage of defective items present in each lot follows the learning curve. Partial back ordering is considered at retailer's ends. To increase the demand, supports of promotional activity such as advertisement is taken by the decision maker and cost of advertisement is bear by both the player. Two different approaches, one is integrated approach and other is leader-follower approach optimal solution of the supply chain has been obtained. Proposed model is illustrated with the help of numerical example and sensitivity analysis is carried out with respect to different parameters.

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“…Elmaghraby (1990) reviewed some antecedently projected models and distended one in all them to accommodate a finite horizon. Salameh et al (1993) delineated a production heap size model during which they incorporated the training curve. During a resulting paper Jaber and Salameh (1995) generalized Salameh et al (1993) model with the thought of shortages.…”

Section: Introductionmentioning

confidence: 99%

Effect of learning and salvage worth on an inventory model for deteriorating items with inventory-dependent demand rate and partial backlogging with capability constraints

Kumar¹,

Kumar²

2016

10.5267/j.uscm

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In this paper, an inventory model is built with inventory-dependent demand rate and twowarehouses in which demand rate is a polynomial of current inventory level. Moreover, it is typically the case in which the value of system engaged in repetitive operations decreases. Thus, the impact of learning from repetitive method cannot be unnoticed while developing the inventory model with two-level storage. Here, we tend to assume that the capability of the own warehouse, holding value of own and rented warehouse is partly constant and partly decreasing in every cycle, merit to learning impact. Impact of salvage worth is additionally thought of for the deteriorating things. Additionally, we tend to give shortages and assume that the backlogging demand rate depends on the period of the stock-out. The solution is found with the help of some numerical examples. Sensitivity analysis in relation to numerous parameters is also shown.

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Mathematical modelling of the effect of human learning in the finite production inventory model

Cited by 65 publications

References 1 publication

Effects of learning on retailer ordering policy for imperfect quality items with trade credit financing

Effects of learning on retailer ordering policy for imperfect quality items with trade credit financing

Integrated model with imperfect production process under the effect of learning

Effect of learning and salvage worth on an inventory model for deteriorating items with inventory-dependent demand rate and partial backlogging with capability constraints

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