A Partial Backlogging Inventory Model for Deteriorating Items with Fluctuating Selling Price and Purchasing Cost

Table 4

Sensitivity analysis on rate of change for Example 5.3.

𝑝(𝑡), 𝑐𝑣(𝑡)	% change in rate of change	Estimated 𝑛1	Optimal 𝑛^∗	𝑇𝑃^∗(𝑛^∗)	% change in 𝑇𝑃^∗(𝑛^∗)
𝑝(𝑡)=200+30𝑡	—	12	14	49044.31	0.00
𝑐𝑣(𝑡)=150+10𝑡	—
𝑝(𝑡)=200+45𝑡	+50	13	15	64887.92	32.30
𝑐𝑣(𝑡)=150+10𝑡	—
𝑝(𝑡)=200+15𝑡	−50	12	14	33314.34	−32.07
𝑐𝑣(𝑡)=150+10𝑡	—
𝑝(𝑡)=200+30𝑡	—	12	14	43768.8	−10.76
𝑐𝑣(𝑡)=150+15𝑡	+50
𝑝(𝑡)=200+30𝑡	—	12	14	54329.55	10.78
𝑐𝑣(𝑡)=150+5𝑡	−50