Title: Imperfect production policy of a breakable item with variable breakability and demand in random planning horizon

Authors: Partha Guchhait; Manas Kumar Maiti; Manoranjan Maiti

Addresses: Department of Applied Mathematics, Vidyasagar University, Midnapore, Paschim-Medinipur, West Bengal 721102, India ' Department of Mathematics, Mahishadal Raj College, Mahishadal, Purba-Medinipur, West Bengal 721628, India ' Department of Applied Mathematics, Vidyasagar University, Midnapore, Paschim-Medinipur, West Bengal 721102, India

Abstract: Production inventory model of a breakable item, i.e., item made of glass, ceramic, etc. is developed where, above a certain stock level breakability increases with time and stock level. Demand of the item is stock and selling price dependent. Production process is not 100% perfect, i.e., not all produced units are of perfect quality. Defective units are sold at a reduced price. Duration of demand of the item in the market is assumed as stochastic in nature and follows normal distribution with a known mean and standard deviation. Here, the unit production cost depends on production rate and is derived from the particular production function under which it is being produced. Here selling price, reliability of production process, set-up cost and duration of each cycle are decision variables. Model is illustrated with numerical data and some sensitivity analyses have been presented.

Keywords: breakable items; imperfect production process; variable breakability; variable demand; chance constraint; random planning horizon; inventory models; breakability; selling price; process reliability; setup cost; setup duration.

DOI: 10.1504/IJMOR.2012.049936

International Journal of Mathematics in Operational Research, 2012 Vol.4 No.6, pp.622 - 637

Available online: 19 Oct 2012 *

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