Economic production quantity models for imperfect items with pollution costs

Figures & data

Figure 1. Behavior of inventory with time.

Figure 2. Accumulated pollutant vs. time.

Table 1.  Effect of new parameters on lot-size and cost for the basic model.

co	ch	D	P	x	y*	TAC
−40 %					2166.19	1,326,834.03
−20 %					2501.30	1,327,278.06
+20 %					3063.46	1,328,022.94
+40 %					3308.91	1,328,348.18
	−40 %				3610.32	1,326,833.98
	−20 %				3126.63	1,328,910.19
	+20 %				2552.88	1,328,022.94
	+40 %				2363.51	1,328,348.18
		−40 %			1767.14	797,896.69
		−20 %			2236.05	1,062,878.47
		+20 %			3540.48	1,592,268.77
		+40 %			7131.23	2,120,666.99
			−40 %		7725.43	1,325,305.10
			−20 %		3406.02	1,327,006.19
			+20 %		2534.74	1,328,051.99
			+40 %		2387.15	1,328,304.77
				−40 %	2753.85	1,327,726.72
				−20 %	2780.30	1,327,690.91
				+20 %	2807.53	1,327,654.76
				+40 %	2815.46	1,327,644.37

Table 2.  Effect of new parameters on lot-size and cost for the model P1.

cπ c	cπ o	π0	y*	TACP
−40 %			3037.82	1,334,206.59
−20 %			3114.10	1,334,307.66
+20 %			3261.30	1,334,502.71
+40 %			3332.47	1,334,597.00
	−40 %		3188.55	1,331,919.26
	−20 %		3188.55	1,333,162.79
	+20 %		3188.55	1,335,649.83
	+40 %		3188.55	1,336,893.36
		−40 %	3188.55	1,331,919.26
		−20 %	3188.55	1,333,162.79
		+20 %	3188.55	1,335,649.83
		+40 %	3188.55	1,336,893.36

Table 3.  Effect of new parameters on lot-size and cost for the model P2.

cπ c	cπ o	π0	σ	P	y*	TACP
−40 %					3037.824	1,327,989.04
−20 %					3114.099	1,328,090.11
+20 %					3261.30	132,285.16
+40 %					3332.47	1,328,379.46
	−40 %				3188.55	1,328,188.72
	−20 %				3188.55	1,328,188.73
	+20 %				3188.55	1,328,188.77
	+40 %				3188.55	1,328,188.79
		−40 %			3188.55	1,328,188.73
		−20 %			3188.55	1,328,188.75
		+20 %			3188.55	1,328,188.77
		+40 %			3188.55	1,328,188.79
			−40 %		3188.55	1,328,188.76
			−20 %		3188.55	1,328,188.76
			+20 %		3188.55	1,328,188.76
			+40 %		3188.55	1,328,188.76
				−40 %	3188.55	1,326,353.14
				−20 %	3188.55	1,327,500.40
				+20 %	3188.55	1,328,647.67
				+40 %	3188.55	1,328,975.45