A Warehouse Imperfect Fuzzified Production Model with Shortages under Inflationary Conditions | Zendy

S.R. Singh | Zendy; Shalini Jain | Zendy; Sarla Pareek | Zendy

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A Warehouse Imperfect Fuzzified Production Model with Shortages under Inflationary Conditions

Author(s) -

S.R. Singh,

Shalini Jain,

Sarla Pareek

Publication year - 2012

Publication title -

advances in decision sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.178

H-Index - 13

eISSN - 2090-3367

pISSN - 2090-3359

DOI - 10.1155/2012/638060

Subject(s) - weibull distribution , economic shortage , warehouse , imperfect , production (economics) , production rate , fuzzy logic , sensitivity (control systems) , computer science , operations research , holding cost , economics , mathematical optimization , econometrics , mathematics , microeconomics , statistics , business , industrial engineering , engineering , marketing , artificial intelligence , electronic engineering , government (linguistics) , linguistics , philosophy

We develop a two-warehouse production model with imperfect items. Production rate is taken as the linear combination of on-hand inventory and demand, while demand rate is taken as function of time. Most of the researchers consider that the production rate is independent from the demand rate. In this paper we assume production rate as being dependent on the demand rate, and this assumption is more realistic. Shortages are allowed and partially backlogged with time-dependent backlogging rate. Due to different preservation facilities we consider that the deterioration rate is time dependent in own warehouse (OW) and Weibull distribution deterioration in rented warehouse (RW). Holding cost in RW is greater than in OW. We developed a fuzzy model with fuzzifying all the costs of the model as triangular fuzzy numbers. The present model is developed in both crisp and fuzzy senses. Finally, numerical example is shown, and sensitivity is also illustrated

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