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A Lot-for-Lot Model with Multiple Instalments for a Production System under Time-Varying Demand Process

Mohd Omar, and Supadi S.S., (2003) A Lot-for-Lot Model with Multiple Instalments for a Production System under Time-Varying Demand Process. Matematika, 19 (2). pp. 101-106. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200319203.pdf

Affiliations

University of Malaya, Institute of Mathematical Sciences
University of Malaya, Institute of Mathematical Sciences

Abstract

In manufacturing systems, the quantity of raw material needed in production is dependent on the production size. In this paper we consider a manufacturing system which procures raw materials from suppliers and processes them to make a finished product. The problems are to determine an ordering policy for raw materials (a lot with multiple instalments) and a production policy for the finished product to satisfy a deterministic time-varying demand process. We find an optimal solution for the model by using the Solver of Microsoft Excel. We present some numerical examples for a discussion.

Item Type:Journal
Keywords:Batch size, Manufacturing system, Time-varying demand, Optimization, Integrated inventory
Subjects:Q Science, Computer Science
ID Code:5736

[1] M. Omar & D.K. Smith, An optimal batch size for a production system under linearly increasing time-varying demand process, Computer & Industrial Engineering, Vol. 42(2002), 35-42.

[2] B.R. Sarker, & G.R. Parija, An optimal batch size for a production system operating under a fixed-quantity, periodic delivery policy, Journal of the Operational Research Society, 45(8)(1994), 891-900.

[3] M.R.A. Sarker, A.N. Mustafizul Karim & A.F.M. Anwarul Haque, An optimal batch size for a production system operating under a continuous supply/demand, International Journal of Industrial Engineering, 2(3)(1995), 189-198.

[4] B.R. Sarker & L.R. Khan, An optimal batch size for a production system operating under a fixed-quantity, periodic delivery policy, Journal of Computers & Industrial Engineering, Vol. 37(1999), 711-730.

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