Order Level Inventory Models for Deteriorating Seasonable/Fashionable Products with Time Dependent Demand and Shortages

Table 1

Sensitivity analysis for model starting without shortages.

The initial cost parameters: 𝑐1=3, 𝑐2=15, 𝑐3=5, 𝑐4=20
			𝐷(𝑡)={3𝑒^4.5𝑡,0<𝑡<0.12,𝑓(0.12)=𝑔(0.9),0.12≤𝑡≤0.9,3𝑒^4.5×0.12−0.8(𝑡−0.9),0.9<𝑡.		𝐷(𝑡)={20𝑒^3.5𝑡,0<𝑡<0.12,𝑓(0.12)=𝑔(0.7),0.12≤𝑡≤0.7,20𝑒^3.5×0.12−50(𝑡−0.7),0.7<𝑡.
		𝑡^∗1	𝑄^∗	𝑇𝐶(𝑡^∗1)	𝑄^∗	𝑇𝐶(𝑡^∗1)
	0.75	0.962	4.99	1.851	27.52	9.686
𝑐1	1.50	0.926	4.98	3.562	27.51	18.868
	4.50	0.803	4.96	9.290	27.44	51.073
	6.00	0.752	4.95	11.612	27.38	64.638
	3.25	0.698	4.94	5.397	27.29	30.362
𝑐2	7.50	0.787	4.97	6.075	27.42	33.535
	22.5	0.896	4.98	6.900	27.50	36.895
	30.0	0.918	4.99	7.058	27.51	37.482
	1.25	0.860	4.98	6.626	27.49	35.832
𝑐3	2.50	0.860	4.98	6.628	27.49	35.840
	7.50	0.860	4.98	6.633	27.49	35.870
	10.0	0.860	4.98	6.635	27.49	35.885
	5.00	0.838	4.98	6.459	27.47	35.166
𝑐4	10.0	0.846	4.98	6.522	27.48	35.423
	30.0	0.872	4.98	6.720	27.49	36.206
	40.0	0.882	4.98	6.795	27.50	36.497