Journal ArticleDOI
A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost
Debashis Dutta,Pavan Kumar +1 more
TLDR
The purpose of this paper is to minimise the total cost of inventory with optimal order quantity and total cost in a partial backlogging inventory model for deteriorating items with time-varying demand and holding cost.Abstract:
In this paper, we propose a partial backlogging inventory model for deteriorating items with time-varying demand and holding cost. Deterioration rate is assumed to be constant. The demand rate varies with time until the shortage occurs; during shortages, demand rate becomes constant. Shortages are allowed and assumed to be partially backlogged. The backlogging rate is variable and is inversely proportional to the length of the waiting time for next replenishment. Taylor series is used for exponential terms approximating up to second degree terms. We solve the proposed model to obtain the optimal value of order quantity and total cost. The purpose of this paper is to minimise the total cost of inventory with optimal order quantity. The convexity of the cost function is shown graphically. Two numerical examples are given in order to show the applicability of the proposed model. Sensitivity analysis is also carried out to identify the most sensitive parameters in the system.read more
Citations
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Journal ArticleDOI
Literature review of deteriorating inventory models by key topics from 2012 to 2015
TL;DR: An up-to-date review of perishable inventory models, but also of the joint key topics of publications from January 2012 until December 2015 in the research area of deteriorating inventory models is given.
Proceedings Article
Some Algebraic Properties And A Distance Measure For Interval-Valued Fuzzy Numbers.
TL;DR: In this article, the authors generalize results of Wang and Li [Fuzzy Sets and Systems 98 (1998) 331] on interval-valued fuzzy numbers and extend their operations with simple proofs.
Journal ArticleDOI
State-of-the-art literature review on inventory models for perishable products
TL;DR: A systemic review of perishable inventory models along various dimensions to fill the gap in the perishable Inventory literature and help in formulating effective strategies to design of an effective and efficient inventory management system for perishable items.
Journal ArticleDOI
EOQ and EPQ Production-Inventory Models with Variable Holding Cost: State-of-the-Art Review
TL;DR: This article reviewed and classified EOQ and EPQ inventory models formulated under the assumption of variable holding costs and classified them into three main types: time-dependent holding cost, stock dependent holding cost and multiple dependence or other holding cost variability.
Journal ArticleDOI
Optimal replenishment policy for non-instantaneously perishable items with preservation technology and random deterioration start time
TL;DR: In this article, an inventory model for non-instantaneously deteriorating items with constant demand is considered, where the items start deteriorating at a constant rate after a random period of time from receiving the delivery by the retailer.
References
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Book
Fuzzy Set Theory - and Its Applications
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Journal ArticleDOI
Multiobjective programming in optimization of the interval objective function
Hisao Ishibuchi,Hideo Tanaka +1 more
TL;DR: In this article, a mathematical programming problem whose objective function has interval coefficients is investigated and the order relations which represent the decision maker's preference between interval profits are defined by the right limit, the left limit, center and width of an interval.
OtherDOI
Multiple Criteria Decision Making (MCDM)
TL;DR: Das Treffen richtiger Entscheidungen ist für den langfristigen Fortbestand eines Unternehmens von essentieller Bedeutung, das Management bei komplexen Fragestellungen mit geeigneten Methoden zur EntscheIDungsfindung zu unterstützen.
Journal ArticleDOI
(T, S i ) Policy Inventory Model for Deteriorating Items with Time Proportional Demand
Upendra Dave,L. K. Patel +1 more
TL;DR: In this article, an EOQ model is reconsidered in which the demand rate is changing linearly with time and the deterioration is assumed to be a constant fraction of the onhand inventory.
Journal ArticleDOI
Optimal pricing and lot-sizing under conditions of perishability and partial backordering
TL;DR: In this article, a generalized model of dynamic pricing and lot-sizing by a reseller who sells a perishable good is formulated, where when it is economic to backlog demand, the reseller can plan for periods of shortage during which demand can be partially backordered.
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