| Summary: | 碩士 === 國立彰化師範大學 === 商業教育學系 === 88 === The objective of competitive newsboy inventory problem in this paper is to decide the optimal inventory control based on individual expected profit. The assumptions in this paper are：(1)The demand probability of each retailer is independent and identically uniform distribution. (2)The cost per item, selling price per item, salvage per item and penalty at each retailer are known. (2)The salvage is assumed to be less than the cost. Under the above considerations, this study based on inventory control will satisfy mathematical models of non-salvage as well as non-penalty and salvage as well as penalty included inventory model for a single-period, two-competitive-retailer newsboy inventory problem. According to the analysis of those models, we will discuss the effect of substitutable demand rate on optimal ordering quantities in a competitive newsboy problem that can be useful for inventory policy makers.
The important conclusions of this paper are：(1)Optimal ordering quantities of two competitive retailers under substitutable demand increase as the number of substitutable demand rate increase. (2) Optimal inventory of competitive firms increase as the number of contribution margin that is in the non-salvage as well as non-penalty model and under identical condition of market demand increase. At a particular contribution margin level, these ordering quantities are larger than those upon classical newsboy problem. (3) Under substitutable demand, the optimal inventories of competitive newsboys increase as the number of selling price, penalty and salvage increase, but decrease as the number of purchasing cost increase. (4) According to Mathematica Analysis, optimal inventories in our model are not always more then the classical newsboys’ inventory. (5) From Sensitivity Analysis, the ordering quantities upon non-salvage as well as non-penalty model are the most sensitive to purchasing cost, but the ordering quantities upon salvage as well as penalty included are the most sensitive to salvage. (6) At the view of service level, optimal inventory of two competitive retailers under substitutable demand increase with service level increasing.
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