Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand

This paper investigates a Supply Chain System for deteriorating items in which a supplier supplies a manufacturer with raw material, and the manufacturer produces the finished goods. Demand rate is assumed to be time-sensitive in nature (Trapezoidal type), which allows three-phase variat...

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Published in:Yugoslav Journal of Operations Research
Main Authors: Singh Narayan, Vaish Bindu, Singh S.R.
Format: Article
Language:English
Published: University of Belgrade 2016-01-01
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2016/0354-02431400021S.pdf
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author Singh Narayan
Vaish Bindu
Singh S.R.
author_facet Singh Narayan
Vaish Bindu
Singh S.R.
author_sort Singh Narayan
collection DOAJ
container_title Yugoslav Journal of Operations Research
description This paper investigates a Supply Chain System for deteriorating items in which a supplier supplies a manufacturer with raw material, and the manufacturer produces the finished goods. Demand rate is assumed to be time-sensitive in nature (Trapezoidal type), which allows three-phase variation in demand, and production rate is demand dependent. Our adoption of trapezoidal type demand reflects a real market demand for newly launched product. We show that the total cost function is convex. With the convexity, a simple solution algorithm is presented to determine the optimal order quantity and optimal cycle time of the total cost function. Numerical examples are given and the results are discussed.
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spelling doaj-art-e93c8922fef44db285e7eb2e17347eae2025-08-19T20:00:09ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02432016-01-0126110312010.2298/YJOR140101021S0354-02431400021SManufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demandSingh Narayan0Vaish Bindu1Singh S.R.2Department of Mathematics D.N. (P.G) College, Meerut (U.P), IndiaDepartment of Mathematics D.N. (P.G) College, Meerut (U.P), IndiaDepartment of Mathematics D.N. (P.G) College, Meerut (U.P), IndiaThis paper investigates a Supply Chain System for deteriorating items in which a supplier supplies a manufacturer with raw material, and the manufacturer produces the finished goods. Demand rate is assumed to be time-sensitive in nature (Trapezoidal type), which allows three-phase variation in demand, and production rate is demand dependent. Our adoption of trapezoidal type demand reflects a real market demand for newly launched product. We show that the total cost function is convex. With the convexity, a simple solution algorithm is presented to determine the optimal order quantity and optimal cycle time of the total cost function. Numerical examples are given and the results are discussed.http://www.doiserbia.nb.rs/img/doi/0354-0243/2016/0354-02431400021S.pdfsupply chaintrapezoidal type demanddeterioration
spellingShingle Singh Narayan
Vaish Bindu
Singh S.R.
Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
supply chain
trapezoidal type demand
deterioration
title Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
title_full Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
title_fullStr Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
title_full_unstemmed Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
title_short Manufacturer-supplier cooperative inventory model for deteriorating item with trapezoidal type demand
title_sort manufacturer supplier cooperative inventory model for deteriorating item with trapezoidal type demand
topic supply chain
trapezoidal type demand
deterioration
url http://www.doiserbia.nb.rs/img/doi/0354-0243/2016/0354-02431400021S.pdf
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