Inventory management at service facilities for systems with arbitrarily distributed service times

Berman, Oded; Isotupa, K. P. Sapna

doi:10.1080/15326340008807592

Cited by 75 publications

(38 citation statements)

References 3 publications

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“…Later Berman and Kim [4] considered a service facility that provides service to customers using items of inventory with the assumption of Poisson arrival, exponential service times and zero lead times. Berman and Sapna [6] studied a finite capacity inventory model with Poisson arrival, arbitrarily distributed service times and zero lead times. Berman and Kim [5] analysed a queueing-inventory system for service facilities with unlimited waiting space for customers.…”

Section: Introductionmentioning

confidence: 99%

A retrial queueing-inventory system with J-additional options for service and finite source

Yadavalli

Jeganathan

Venkatesan

et al. 2017

ORiON

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A continuous review (s, S) inventory system at a service facility with finite homogeneous sources of demands and retrial is analysed. The lifetime of each item is assumed to be exponential. Before items are delivered to the customers, some basic service on the item must be performed. It is known as a regular or main service. The service may get interrupted according to a Poisson process and it restarts after an exponentially distributed time. If the server is idle at the time of arrival of a customer and the inventory level is positive, then the service begins immediately. After the completion of regular service, a customer may either abandon the system forever or demand for a second service from the same server, which is multi-optional. If any arriving customer finds that the server is busy or inventory level is zero, he/she either enters into the orbit with probability p or balks (does not enter) with probability 1 − p. The stationary distribution of the number of customers in the system, server status and the inventory level is obtained by the matrix method. The Laplace-Stieltjes transform of the waiting time of the tagged customer is derived. Various system performance measures are derived and the total expected cost rate is computed under a suitable cost structure. A numerical illustration is given.

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Section: Introductionmentioning

confidence: 99%

A retrial queueing-inventory system with J-additional options for service and finite source

Yadavalli

Jeganathan

Venkatesan

et al. 2017

ORiON

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show abstract

“…Berman & Kim [3] analyzed a single server inventory model with the assumption of instantaneous replenishment and a service facility. Berman & Sapna [5] considered a queueing-inventory model with single server and finite capacity. They assumed that customer arrival follows Poisson process, arbitrarily distributed service times and zero lead times.…”

Section: Introductionmentioning

confidence: 99%

A finite source perishable inventory system with second optional service and server interruptions

Yadavalli¹,

Jeganathan²

2016

ORiON

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In this article, a service facility inventory system with server interruptions and a finite number of sources are considered. The inventory is replenished according to (s, S) ordering policy. Using the matrix methods, the stationary distribution of the stock level, server status and waiting area level is obtained in the steady state case. The Laplace-Stieltjes transform of the waiting time of the tagged customer is derived. Many impartment system performance measures are derived and the total expected cost rate is computed under a suitable cost structure. The results are illustrated numerically.

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“…Berman and kim (1999) considered a queuing-inventory system with Poisson arrival rate and exponential service times under zero lead time. Berman and Sapna (2000) considered queuing-inventory systems with Pois-son arrival and a conventional service rate and zero lead time. Berman and Sapna (2001) studied a capacitated queuing system under exponential arrival rate, service rate and lead time.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Soft Computing-Based Approaches to Optimize Inventory-Queuing-Pricing Problem under Fuzzy Considerations

Alinezhad¹,

Mahmoudi²,

Hajipour³

2016

Industrial Engineering and Management Systems

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Due to uncertain environment, various parameters such as price, queuing length, warranty, and so on influence on inventory models. In this paper, an inventory-queuing-pricing problem with continuous review inventory control policy and batch arrival queuing approach, is presented. To best of our knowledge, (I) demand function is stochastic and price dependent; (II) due to the uncertainty in real-world situations, a fuzzy programming approach is applied. Therefore, the presented model with goal of maximizing total profit of system analyzes the price and order quantity decision variables. Since the proposed model belongs to NP-hard problems, Pareto-based approaches based on non-dominated ranking and sorting genetic algorithm are proposed and justified to solve the model. Several numerical illustrations are generated to demonstrate the model validity and algorithms performance. The results showed the applicability and robustness of the proposed soft-computing-based approaches to analyze the problem.

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Inventory management at service facilities for systems with arbitrarily distributed service times

Cited by 75 publications

References 3 publications

A retrial queueing-inventory system with J-additional options for service and finite source

A retrial queueing-inventory system with J-additional options for service and finite source

A finite source perishable inventory system with second optional service and server interruptions

Multi-Objective Soft Computing-Based Approaches to Optimize Inventory-Queuing-Pricing Problem under Fuzzy Considerations

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