Application of queuing theory in inventory systems with substitution flexibility

Seyedhoseini, S. M.; Rashid, Reza; Kamalpour, Iman; Zangeneh, Erfan

doi:10.1007/s40092-015-0099-5

Cited by 14 publications

(7 citation statements)

References 32 publications

(17 reference statements)

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“…The queuing mathematical theory was used effectively to describe the behavior of a mathematical model designed for inventory purpose. The queuing theory was effective for the system flexibility with improved productivity [13].…”

Section: Related Workmentioning

confidence: 99%

Mathematical Modelling and Simulation of Throughput in a Robotics Manufacturing System

Salawu¹,

Bright²,

Onunka³

2020

International Journal of Engineering Research and Technology

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The paper presented the impact of robots in a pick and place task in an advanced manufacturing environment. The study seeks to address the problem faced by manufacturers trying to obtain optimal throughput when a robot is available to perform a difficult task. Classical models with assumed parameters were used to describe a scenario of a pick and place task in a virtual manufacturing environment. The models were studied and analyzed using Queuing theory and the renewal reward theorem. Various expressions were developed, and the engineering equation solver (EES) was used for the numerical computation. The numerical results were simulated using MATLAB to achieve the desired results and illustrated graphically. An equation that can be used to calculate optimal throughput was derived. The outcome of study suggested a model that can be effective when solution to optimal throughput is required during the pick and place task of a robotic line manufacturing system.

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Section: Related Workmentioning

confidence: 99%

Mathematical Modelling and Simulation of Throughput in a Robotics Manufacturing System

Salawu¹,

Bright²,

Onunka³

2020

International Journal of Engineering Research and Technology

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“…Their aim was to determine the order quantity for each product that maximizes the joint profit function. Seyedhoseini et al (2015) applied queuing theory to propose a mathematical model for inventory systems with substitute flexibility. ) also considered a location-inventory model.…”

Section: Literature Reviewmentioning

confidence: 99%

Application of queuing theory in production-inventory optimization

et al. 2015

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This paper presents a mathematical model for an inventory control system in which customers' demands and suppliers' service time are considered as stochastic parameters. The proposed problem is solved through queuing theory for a single item. In this case, transitional probabilities are calculated in steady state. Afterward, the model is extended to the case of multi-item inventory systems. Then, to deal with the complexity of this problem, a new heuristic algorithm is developed. Finally, the presented bi-level inventory-queuing model is implemented as a case study in Electroestil Company.

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“…Shortage is backordered, and defective items in each ordering cycle are stored in a warehouse to be returned to the supplier when a new order is received. Seyedhoseini et al (2015) have considered an inventory system with two substitute products with ignorable lead time and stochastic demand and by means of queuing theory a mathematical model has been proposed.…”

Section: Literature Reviewmentioning

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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Application of queuing theory in inventory systems with substitution flexibility

Cited by 14 publications

References 32 publications

Mathematical Modelling and Simulation of Throughput in a Robotics Manufacturing System

Mathematical Modelling and Simulation of Throughput in a Robotics Manufacturing System

Application of queuing theory in production-inventory optimization

Developing EPQ models for non-instantaneous deteriorating items

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