Date of Award

1-1-2013

Thesis Type

masters

Document Type

Thesis

Divisions

science

Department

Faculty of Science

Institution

University of Malaya

Abstract

This study is proposing two integrated inventory models by considering stockdependent demand. We presented a mathematical model where a vendor procures raw material in single/multiple instalment(s), processes them to make finished products, ships to single/multiple buyer(s) at single/multiple shipment(s) and stores them at the warehouse before presents at the display area with single/ multiple transfer(s). The first model operates with a single-vendor and a single-buyer by considering different shipment policies. Two types of shipment policies were considered in the first model: geometric shipment and geometricthen-equal shipment sizes. The optimum joint profits were obtained by using Wolfram Mathematica Version 7. Numerical examples were then presented for discussion. A numerical sensitivity analysis was conducted to investigate the reaction of the optimal total profit to the changes in the parameters value. The second model operates with a single-vendor and multiple buyers by considering equal shipment sizes. The total optimum profit and solution procedures were obtained by using Microsoft Excel Premium Solver Version 12.5 which can solve non-linear optimization problems. This procedure was used to analyze some numerical examples in order to examine the model's sensitivity to parameter changes as well.

Note

Dissertation (M.Sc.) -- Institut Sains Matematik, Fakulti Sains, Universiti Malaya, 2013

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