A perishable inventory system with retrial demands and a finite population

Sivakumar, B.

doi:10.1016/j.cam.2008.03.041

Cited by 48 publications

(14 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…En [16] se asume que la demanda se genera en fuentes finitas y el tiempo de vida de cada producto se supone como una función exponencial, como es el caso del modelo de revisión continua de inventario para perecederos, aplicado por [17]. El contexto son las tiendas y supermercados, se busca disminuir costos al minimizar la canti-dad de residuos que se derivan de las pérdidas por fecha de vencimiento.…”

Section: Análisis De Modelos De Inventarios Para Perecederosunclassified

El Problema de Ruteo e Inventarios en Cadenas de Suministro de Perecederos: Revisión de Literatura

Batero-Manso

Castro

2018

ing.

View full text Add to dashboard Cite

Context: This paper presents a literature review of the Inventories Routing Problem (IRP) applied to supply chains of perishable products. Different approaches to solve this problem are identified and described in terms of structures, models and solution methods. Method: A systematic literature review is conducted searching in different bibliographic databases and selecting the most relevant studies within the period 2004 to 2017. The results are analyzed so as to propose a taxonomy to classify and compare the different approaches proposed to address this problem.Results: We identified that the majority of studies consider heuristic-based algorithms to solve the problem. Because of its computational complexity the methods resort to metaheuristics and mateheuristics combined with exact methods. Regarding the application to specific supply chains of perishable products, they refer mostly to processed foods, medicines, and human blood. The constraints that differentiate this problem from other types of IRP are useful life and deterioration.Conclusions: The conditions and particularities of the supply chain of perishables products imply the need to consider new variables, parameters, constraints and objective functions; in the reviewed studies it is not clearly defined the differences involved when considering the perishability of the products in the supply chain. Future research should take into account the multiple ways in which deterioration is carried out with factors such as temperature, light, oxygen, humidity and in some cases microorganisms. Also include in the models the cold chain, hygiene standards, air pollution, emissions of greenhouse gases, generation of waste, occupation of roads and other aspects related to City Logistics and Green Logistics.

show abstract

Section: Análisis De Modelos De Inventarios Para Perecederosunclassified

El Problema de Ruteo e Inventarios en Cadenas de Suministro de Perecederos: Revisión de Literatura

Batero-Manso

Castro

2018

ing.

View full text Add to dashboard Cite

show abstract

“…Assuming constant decay rate and exponential life times, they applied Markovian renewal technique to get system characteristics. Sivakumar [11] studied a perishable inventory system with retrial demands from finite homogenous sources. They obtained expected number of demands in the orbit and joint probability distribution of inventory level.…”

Section: Introductionmentioning

confidence: 99%

A discrete time perishable inventory model with positive lead time

Jijo¹,

Jose²

2020

Malaya J. Mat.

View full text Add to dashboard Cite

This paper presents a perishable type inventory model in discrete time for the products with different life times. Arrival of customers constitutes a Bernoulli process. Replenishment rate, perishability of items and service time are geometrically distributed. The items are replenished according to (s, S) policy. Maximum storage of inventory is S. Considering positive lead time, we construct a multi-dimensional Markov chain to model the inventory-level process. When the level of inventory downs to s due to decay or service the items are replenished to the maximum level S. Using Matrix Analytic Method, we obtain steady state probability vector of the system. Various system performance measures in the steady state and expected total cost are obtained. Certain important numerical calculations were made and the results are illustrated graphically.

show abstract

“…In this paper, a single server queueing-inventory system with a finite number of sources is discussed. A continuous review perishable inventory model with finite population was first initiated by Sivakumar [18]. He assumed that the customers arriving at a stock-out period enter into the orbit and they retry after some random time.…”

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

View full text Add to dashboard Cite

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.

show abstract

A perishable inventory system with retrial demands and a finite population

Cited by 48 publications

References 20 publications

El Problema de Ruteo e Inventarios en Cadenas de Suministro de Perecederos: Revisión de Literatura

El Problema de Ruteo e Inventarios en Cadenas de Suministro de Perecederos: Revisión de Literatura

A discrete time perishable inventory model with positive lead time

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

Contact Info

Product

Resources

About