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Optimal procurement and discount pricing for single-period non-instantaneous deteriorating products with promotional efforts


Retailers often use discount pricing and promotional efforts to prop up declining demand of deteriorating item nearing the end of their shelf life. In this context, we study the problem of discount pricing, promotion and ordering of non-instantaneous deteriorating single period product subject to promotional efforts and deterioration. In this paper, we first modify price-and time-dependent demand function (covering demand running through stages of market lifecycle) to include demand accrued from the promotional efforts and then develop inventory model to determine discount selling price and order size that maximizes total profit considering the deterioration. Later, the optimal selling period is determined using enumerative search method. The numerical examples presented to illustrate results show the benefits of exerting optimal level of promotional efforts; benefits of lengthening the non-deterioration period—larger profit with smaller order size; existence of optimal selling period; deleterious effect of deterioration—reduced profit even with enlarged order size. The model developed for non-instantaneous deteriorating item can be used for non-deteriorating as well as instantaneous deteriorating item.

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The authors express deep gratitude to the anonymous reviewers for their constructive suggestions and comments which has enhanced the standard and presentation of this paper over its earlier version. Funding was provided by Science and Engineering Research Board (Grant No. SB/FTP/ETA-0484/2012).

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Correspondence to Pankaj Dutta.

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Nagare, M., Dutta, P. & Suryawanshi, P. Optimal procurement and discount pricing for single-period non-instantaneous deteriorating products with promotional efforts. Oper Res Int J 20, 89–117 (2020).

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  • Non-instantaneous deterioration
  • Promotion
  • Discount pricing
  • Market lifecycle
  • Single -period product